REVIEW 3 major objections 8 minor 88 references
Predictions for $b$-baryon lifetimes at NNLO-QCD
T0 review · 3 major / 8 minor · reviewed 2026-07-08 · glm-5.2
Pith's one-line read NNLO-QCD cuts b-baryon lifetime uncertainties in half
desk verdict Solid incremental advance in b-baryon lifetime predictions; the NNLO partonic corrections meaningfully reduce uncertainties on total widths, and the NLO dim-5 corrections improve lifetime ratios. The main soft spot is the correlated model dependence from NRCQM matrix elements propagating into the Darwin parameter, which the uncertainty budget may understate. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The heavy quark expansion (HQE) expresses hadronic decay rates as a double series in inverse powers of the heavy quark mass and in the strong coupling alpha_s. The leading term is the free b-quark (partonic) decay rate at dimension three. Power-suppressed corrections involve hadronic matrix elements of local operators: the kinetic and chromomagnetic operators at dimension five (1/m_b^2), and four-quark operators at dimension six (1/m_b^3). The Wilson coefficients of these operators are computed perturbatively in QCD. Lifetime ratios are cleaner observables because the dominant partonic contribution cancels, making the ratios sensitive to power-suppressed corrections where the newly computedN
What would settle it
A future lattice QCD determination of the dimension-six four-quark matrix elements for Xi_b or Omega_b that disagrees with the constituent-quark-model estimates by more than 30% would shift the lifetime ratio predictions and could break the currently observed agreement with experiment.
Extended reading notes
Core claim
The paper's central result is that including NNLO-QCD corrections to the free b-quark decay and NLO-QCD corrections to the chromomagnetic operator simultaneously reduces theoretical uncertainties on total decay widths by about a factor of two and shifts lifetime ratios in the direction of experimental data. The chromomagnetic correction is the key mechanism for the ratio improvement: it lifts accidental cancellations present at leading order and reduces renormalisation-scale dependence. For total widths, the partonic NNLO correction is the dominant stabiliser. All nine lifetime ratios and four total decay rates predicted by the HQE now agree with experiment within quoted errors.
Load-bearing premise
The hadronic matrix elements of dimension-six four-quark operators for the Xi_b and Omega_b baryons are estimated using a non-relativistic constituent quark model with a 30% model uncertainty, and no first-principles lattice QCD calculation exists for these baryons. These matrix elements are a dominant source of uncertainty in the lifetime ratios, which are the paper's cleanest observables.
Editorial extensions
If this is right
- The agreement of HQE predictions with b-baryon lifetime ratios at the percent level constrains possible new-physics contributions to b -> c u d(s) transitions, which are often probed through these ratios.
- The theoretical uncertainty on the Omega_b lifetime is now smaller than the experimental one, making improved experimental measurements of Omega_b the most impactful next step for testing the HQE in the baryon sector.
- First-principles lattice QCD determinations of dimension-six four-quark matrix elements for b-baryons would remove the dominant non-perturbative uncertainty and could either confirm or challenge the constituent-quark-model estimates used here.
- The recently computed NNLO corrections to dimension-six four-quark operators in full QCD could be incorporated for the Xi_b^0/Xi_b^- ratio (where operator-mixing effects cancel), potentially further sharpening that particular prediction.
- The pattern of agreement across mesons, singly-heavy baryons, and doubly-heavy baryons strengthens the case that the HQE is a systematically improvable framework rather than a fit, and that residual discrepancies in the charm sector arise from the slower convergence of the 1/m_c expansion.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. This manuscript presents updated HQE predictions for singly-heavy $b$-baryon total decay widths, lifetime ratios, and lifetimes normalized to $B^0_d$. The main new ingredients are NNLO-QCD corrections to the partonic $b$-quark decay rate and NLO-QCD corrections to the dimension-five (kinetic and chromomagnetic) operator contributions. The non-perturbative inputs for dimension-six four-quark matrix elements are taken from the NRCQM, with the Darwin parameter determined via EOM relations. The authors find excellent agreement with current experimental data across all observables, with a significant reduction in theoretical uncertainties for total widths compared to the previous NLO analysis (Ref. [10]).
Significance. The inclusion of NNLO corrections to the partonic rate and NLO corrections to dimension-five operators is a genuine advance for $b$-baryon lifetime predictions, bringing the baryon sector to the same perturbative accuracy recently achieved for $B$-mesons. The reduction of the total-width uncertainty by roughly a factor of two (Tab. IV) is a concrete, quantifiable improvement. The agreement with the newly measured $Xi_b$ lifetime ratios (Eqs. 1-2) provides a timely test of the HQE framework. The Darwin parameter cross-check against the semileptonic fit value (Eq. 17) is a useful consistency validation.
major comments (3)
- [Sec. II, Eq. (16) and Tab. III] The Darwin parameter $[rho_D^3]_{kin}$ is determined entirely from the EOM relation (Eq. 16), which expresses it as a specific combination of the same NRCQM four-quark matrix elements listed in Tab. I. The manuscript states that 'we now take into account correlations between dimension-six four-quark matrix elements,' but this statement appears to refer to correlations among the four-quark operators ($O_1$, $O_2$, $tilde{O}_1$, $tilde{O}_2$) themselves. It is unclear whether the uncertainty propagation accounts for the correlated systematic bias that would arise if the NRCQM misestimates the four-quark matrix elements for $Xi_b$ or $Omega_b$: such a bias would shift both the dim-6 four-quark contribution (entering at $1/m_b^3$ with NLO Wilson coefficients) and the dim-6 Darwin contribution (entering at $1/m_b^3$ with LO Wilson coefficients) in the same direction. Since the partonic rate (
- [Sec. III, Tab. V] For several ratios relative to $B^0_d$ (marked with $diamond$), the experimental values are constructed by dividing individual lifetime measurements by $tau(B^0_d)$, without accounting for experimental correlations. The manuscript acknowledges this, but the theoretical uncertainties on some of these ratios (e.g., $tau(Xi^0_b)/tau(B^0_d) = 0.959 pm 0.023$) are comparable to the uncorrelated experimental errors. A brief comment on the expected size and sign of neglected experimental correlations would help the reader assess the significance of the agreement.
- [Sec. II, discussion following Eq. (16)] Ref. [86] reports $[rho_D^3(Lambda^0_b)]_{kin} sim 0.07$ GeV$^3$ at $mu_{cut} = 0.75$ GeV, which is substantially smaller than the value $0.171^{+0.033}_{-0.024}$ GeV$^3$ quoted in Tab. III at $mu_{cut} = 1$ GeV. The manuscript notes that the perturbative contribution in Eq. (15) was not included in Ref. [10], making direct comparison 'not straightforward.' However, the perturbative correction would need to be quite large to bridge this gap. A more quantitative comparison—e.g., evaluating $[rho_D^3]_{kin}$ at $mu_{cut} = 0.75$ GeV or decomposing the perturbative vs. non-perturbative pieces—would clarify whether this tension signals a problem with the EOM+NRCQM approach for the Darwin parameter.
minor comments (8)
- [Abstract] The phrase 'for the first time' is used twice in close succession. Consider rephrasing for readability.
- [Tab. I caption] The caption states that the first uncertainties come from varying 'all input parameters' and the second from a 'conservative 30% estimate of the model uncertainty.' It would help to clarify whether the 30% is applied to the absolute value of each matrix element independently or to the wave-function-at-the-origin input.
- [Sec. II, Eq. (11)] The notation $m_b^B$, $m_q^B$, $m_b^M$, $m_q^M$ for constituent masses is introduced but the specific numerical values used are not tabulated. Providing these (or a reference to a table) would improve reproducibility.
- [Sec. III, Tab. IV] The caption mentions that experimental widths are obtained from measured lifetimes using $Gamma = 1/tau$. It would be useful to also note the source of the $Omega_b^-$ experimental lifetime used, given its relatively large uncertainty.
- [Sec. II, below Eq. (9)] The statement that $tilde{B}_q^i = 1$ in the valence quark approximation is followed by 'Neglecting subleading $1/m_b$ and $SU(3)_F$-breaking corrections, we assume a universal parameter $tilde{B}_q^i = tilde{B} = 1$.' It would be helpful to state explicitly what uncertainty is assigned to this assumption.
- [Fig. 1 and Fig. 3] The color scheme (LO=orange, NLO=magenta, NNLO=green, experiment=blue) is stated in the Fig. 1 caption but not repeated in Fig. 3. Adding it to Fig. 3 would aid readers who jump to the lifetime-ratio results.
- [Sec. III, Tab. V] The $diamond$ symbol is defined in the caption, but a footnote or inline note in the table itself would make the construction of these 'experimental' values more visible.
- [Sec. II, Eq. (16)] The $O(1/m_b)$ remainder in Eq. (16) is mentioned but not quantified. A brief statement of its expected size relative to the leading term would be welcome.
Simulated Author's Rebuttal
We thank the referee for a careful reading and for raising three substantive points. We address each in turn below. We agree that all three comments warrant additions or clarifications to the manuscript, and we will incorporate the corresponding revisions.
read point-by-point responses
-
Referee: Comment 1: Correlated systematic bias from NRCQM four-quark matrix elements affecting both dim-6 four-quark and Darwin contributions in the same direction.
Authors: The referee raises a valid and important point. The Darwin parameter is determined from the EOM relation (Eq. 16), which expresses it as a specific linear combination of the same NRCQM four-quark matrix elements that also enter the dimension-six four-quark contribution. If the NRCQM systematically overestimates or underestimates these matrix elements, both contributions would shift coherently, and treating their uncertainties as independent would underestimate the total uncertainty on the total width and on lifetime ratios. We acknowledge that our current error budget does not explicitly account for this correlation. The 30% model uncertainty quoted in Tab. I is applied to the four-quark matrix elements and propagated to both the four-quark contribution and the Darwin parameter, but the correlation between these two channels of propagation is not tracked. We note that the impact is partially mitigated by two facts: (i) the Wilson coefficients differ — the Darwin term enters at LO while the four-quark terms enter at NLO — and (ii) the EOM relation (Eq. 16) involves a specific signed combination ($-3O_1^q + 1{O}_1^q + 6O_2^q - 2{O}_2^q$), so a uniform shift in all matrix elements does not necessarily produce a shift of the same sign in the Darwin parameter. Nevertheless, a full treatment of this correlated systematic is beyond the scope of the present analysis and would require a more sophisticated error propagation framework. We will add a discussion of this limitation in the revised manuscript. revision: partial
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Referee: Comment 2: Experimental correlations in ratios relative to B^0_d lifetime; request for comment on expected size and sign.
Authors: We agree that a brief comment would be helpful. The ratios marked with $diamond$ in Tab. V are constructed by dividing individual b-baryon lifetime measurements by $tau(B^0_d)$, without accounting for experimental correlations. The dominant source of correlation would arise if the same datasets or reconstruction methods are used in both the b-baryon and $B^0_d$ lifetime measurements. In practice, the LHCb measurements of $Lambda_b^0$, $Xi_b$, and $Omega_b$ lifetimes are extracted from distinct decay channels and trigger selections, and the $B^0_d$ lifetime is determined from separate analyses. The residual correlations are therefore expected to be small — at the level of a few percent or less of the quoted uncertainties — and their sign is not straightforward to predict without access to the full experimental covariance matrices. We will add a sentence to this effect in the discussion following Tab. V. revision: yes
-
Referee: Comment 3: Tension between Darwin parameter value (0.171 GeV^3 at mu_cut=1 GeV) and Ref. [86]'s value (~0.07 GeV^3 at mu_cut=0.75 GeV); request for quantitative comparison.
Authors: We thank the referee for pressing this point, which we agree deserves a more quantitative treatment. The key to understanding the difference is the perturbative contribution $[rho_D^3(mu_{cut})]_{pert}$ in Eq. (15). Ref. [86] used the EOM-based estimate from Ref. [10], which did not include this perturbative term. In our analysis, the perturbative contribution $[rho_D^3(mu_{cut})]_{pert}$ is positive and sizeable — at $mu_{cut} = 1$ GeV it amounts to approximately $0.14$ GeV$^3$ — so that $[rho_D^3]_{kin} = [rho_D^3]_{OS} + [rho_D^3]_{pert} approx 0.031 + 0.14 approx 0.171$ GeV$^3$ for the $Lambda_b^0$. At $mu_{cut} = 0.75$ GeV, the perturbative contribution is somewhat smaller but still of order $0.10$ GeV$^3$, yielding $[rho_D^3]_{kin} approx 0.13$ GeV$^3$. This is still larger than the $sim 0.07$ GeV$^3$ quoted in Ref. [86], but the gap is substantially reduced. The remaining difference can be attributed to the fact that Ref. [86] combined the EOM estimate from Ref. [10] (which used slightly different input values for the four-quark matrix elements and did not include the perturbative correction) with additional constraints from Small Velocity Sum Rules, which may pull the value downward. We will add a quantitative decomposition of the perturbative and non-perturbative pieces of $[rho_D^3]_{kin}$ at both $mu_{cut} = 1$ GeV and $mu_{cut} = 0.75$ GeV to the manuscript, to make this comparison transparent. revision: yes
Circularity Check
No significant circularity: predictions are computed from perturbative QCD and spectroscopic inputs, not fitted to target observables
full rationale
The paper's derivation chain is self-contained against external benchmarks. The Wilson coefficients are computed perturbatively from QCD (NNLO for the partonic rate from external groups [19, 48-49], NLO for dim-5 from [20-22], NLO for dim-6 four-quark from [67-68]) without fitting to the target lifetimes or ratios. The non-perturbative four-quark matrix elements (Tab. I) are estimated from the NRCQM using spectroscopic hyperfine splittings, not from decay data; for Lambda_b they are cross-checked against independent QCD sum rules (Tab. II). The Darwin parameter is determined from the EOM relation (Eq. 16), which is a legitimate QCD identity relating it to the four-quark matrix elements — this is a mathematical constraint, not a fit, and the Darwin term enters the HQE with different Wilson coefficients and at a different structural position than the four-quark operators, so the prediction does not reduce to the input by construction. The lifetime ratios (Eq. 20) use experimental lifetimes as normalization but the HQE-predicted difference is computed independently and compared against separate experimental measurements. Self-citations to Refs. [9, 10, 63, 68] (overlapping authors) are for methodology and previous results, not invoked as uniqueness theorems forbidding alternatives. The NRCQM is presented as a model with acknowledged 30% uncertainty and listed as a target for future lattice improvement. No step exhibits the specific reduction of output to input by definition or by fit. The minor self-citations are methodological and do not undermine the independent content of the central results.
Assumptions & free parameters
free parameters (5)
- mu_b (renormalisation scale) =
~m_b, varied
- mu_h (hadronic scale) =
1.5 GeV, varied 1.0-1.5 GeV
- mu_cut (Wilsonian cutoff) =
1.0 GeV, varied 0.7-1.3 GeV
- B-tilde (bag parameter) =
1.0
- Constituent quark masses (m_b^B, m_q^B, m_b^M, m_q^M) =
From Ref. [75]
assumptions (4)
- domain assumption Heavy quark expansion: total decay width admits a double expansion in 1/m_b and alpha_s (Eq. 3).
- domain assumption Quark-hadron duality: the OPE reproduces the physical decay rate when averaged over appropriate scales.
- ad hoc to paper NRCQM adequately approximates four-quark operator matrix elements for Xi_b and Omega_b baryons.
- domain assumption EOM relations (Eq. 16) accurately relate the Darwin parameter to four-quark matrix elements up to O(1/m_b) corrections.
Cite this review
Pith. "Pith review of Predictions for $b$-baryon lifetimes at NNLO-QCD." pith.science (2026). https://pith.science/paper/ZIDTWYDT
@misc{pith2026260706538,
author = {Pith},
title = {Pith review of: Predictions for $b$-baryon lifetimes at NNLO-QCD},
year = {2026},
howpublished = {\url{https://pith.science/paper/ZIDTWYDT}},
note = {Machine review of arXiv:2607.06538}
}
abstract
Motivated by recent and forthcoming experimental progress, we provide updated predictions for the total decay rates of $b$-baryons, their lifetime ratios and their lifetimes normalised to that of the $B^0_d$ meson within the framework of the heavy quark expansion (HQE). We include, for the first time, next-to-next-to-leading-order QCD corrections to the free $b$-quark decay, which significantly reduce the theoretical uncertainties in the total decay rates. In addition, we also include, for the first time, the complete next-to-leading-order QCD corrections to the dimension-five contributions. While these corrections have only a minor effect on the total decay rates, they induce a sizeable shift in the lifetime ratios, improving the agreement between HQE predictions and experimental data. Overall, we find excellent agreement between the HQE predictions and current experimental measurements for both total decay rates and lifetime ratios within the quoted uncertainties.
Figures
Reference graph
Works this paper leans on
-
[10]
Quark-hadron duality at work: lifetimes of bottom baryons
J. Gratrex, A. Lenz, B. Meli´ c, I. Niˇ sandˇ zi´ c, M. L. Piscopo, and A. V. Rusov, Quark-hadron duality at work: lifetimes of bottom baryons, JHEP04, 034, arXiv:2301.07698 [hep-ph]
-
[86]
B. Meli´ c and I. Niˇ sandˇ zi´ c, Nonperturbative parameters of inclusive Λ b decays from Small Velocity Sum Rules, JHEP11, 048, arXiv:2506.05134 [hep-ph]
-
[1]
V. A. Khoze and M. A. Shifman, HEAVY QUARKS, Sov. Phys. Usp.26, 387 (1983)
work page 1983
-
[2]
M. A. Shifman and M. B. Voloshin, Preasymptotic Ef- fects in Inclusive Weak Decays of Charmed Particles, Sov. J. Nucl. Phys.41, 120 (1985)
work page 1985
-
[3]
The Rule of Discarding $1/N_c$ in Inclusive Weak Decays
B. Blok and M. A. Shifman, The Rule of discarding 1/Nc in inclusive weak decays. 1., Nucl. Phys.B399, 441 (1993), arXiv:hep-ph/9207236 [hep-ph]
work page Pith review arXiv 1993
-
[4]
The Rule of Discarding $1/N_c$ in Inclusive Weak Decays. II
B. Blok and M. A. Shifman, The Rule of discarding 1/Nc in inclusive weak decays. 2., Nucl. Phys.B399, 459 (1993), arXiv:hep-ph/9209289 [hep-ph]
work page Pith review arXiv 1993
-
[5]
I. I. Y. Bigi and N. G. Uraltsev, Gluonic enhancements in non-spectator beauty decays: An Inclusive mirage though an exclusive possibility, Phys. Lett. B280, 271 (1992)
work page 1992
-
[6]
I. I. Y. Bigi, N. G. Uraltsev, and A. I. Vainshtein, Nonperturbative corrections to inclusive beauty and charm decays: QCD versus phenomenological mod- els, Phys. Lett.B293, 430 (1992), [Erratum: Phys. Lett.B297,477(1992)], arXiv:hep-ph/9207214 [hep-ph]
work page Pith review arXiv 1992
Show all 88 references
-
[7]
Beneke, G
M. Beneke, G. Buchalla, C. Greub, A. Lenz, and U. Nier- ste, Next-to-leading order QCD corrections to the life- 9 time difference of B(s) mesons, Phys. Lett. B459, 631 (1999), arXiv:hep-ph/9808385
1999 arXiv
-
[8]
A. Lenz, M. L. Piscopo, and A. V. Rusov, Disinte- gration of beauty: a precision study, JHEP01, 004, arXiv:2208.02643 [hep-ph]
-
[9]
Egner, M
M. Egner, M. Fael, A. Lenz, M. L. Piscopo, A. V. Rusov, K. Sch¨ onwald, and M. Steinhauser, Total decay rates of B mesons at NNLO-QCD, JHEP04, 106, arXiv:2412.14035 [hep-ph]
-
[11]
Dulibi´ c, B
L. Dulibi´ c, B. Meli´ c, and I. Niˇ sandˇ zi´ c, New Predictions for the Lifetimes of Doubly Heavy Baryons and theB c Meson, (2026), arXiv:2605.04967 [hep-ph]
2026 arXiv
-
[12]
Lenz, Lifetimes and heavy quark expansion, Int
A. Lenz, Lifetimes and heavy quark expansion, Int. J. Mod. Phys. A30, 1543005 (2015), arXiv:1405.3601 [hep- ph]
2015 arXiv
-
[13]
Albrecht, F
J. Albrecht, F. Bernlochner, A. Lenz, and A. Rusov, Life- times of b-hadrons and mixing of neutral B-mesons: the- oretical and experimental status, Eur. Phys. J. ST233, 359 (2024), arXiv:2402.04224 [hep-ph]
2024 arXiv
-
[14]
D. King, A. Lenz, M. L. Piscopo, T. Rauh, A. V. Rusov, and C. Vlahos, Revisiting inclusive decay widths of charmed mesons, JHEP08, 241, arXiv:2109.13219 [hep-ph]
-
[15]
Gratrex, B
J. Gratrex, B. Meli´ c, and I. Niˇ sandˇ zi´ c, Lifetimes of singly charmed hadrons, JHEP07, 058, arXiv:2204.11935 [hep- ph]
-
[16]
A. Lenz, J. M¨ uller, M. L. Piscopo, and A. V. Rusov, Taming new physics in b→c¯ ud(s) withτ(B +)/τ(B d) anda d sl, JHEP09, 028, arXiv:2211.02724 [hep-ph]
-
[17]
M. Lang, A. Lenz, A. Mohamed, M. L. Piscopo, and A. V. Rusov, B-meson decay width up to 1/m 3 b correc- tions within and beyond the Standard Model, JHEP05, 100, arXiv:2512.14635 [hep-ph]
-
[18]
Meiser, D
S. Meiser, D. van Dyk, and J. Virto, Towards a global analysis of the b→c uqpuzzle, JHEP06, 019, arXiv:2411.09458 [hep-ph]
-
[19]
Egner, M
M. Egner, M. Fael, K. Sch¨ onwald, and M. Steinhauser, Nonleptonic B-meson decays to next-to-next-to-leading order, JHEP10, 144, [Erratum: JHEP 02, 147 (2025)], arXiv:2406.19456 [hep-ph]
2025 arXiv
-
[20]
Mannel, D
T. Mannel, D. Moreno, and A. A. Pivovarov, QCD cor- rections at subleading power for inclusive nonleptonic b→c¯uddecays, Phys. Rev. D110, 094011 (2024), arXiv:2408.06767 [hep-ph]
2024 arXiv
-
[21]
Mannel, D
T. Mannel, D. Moreno, and A. A. Pivovarov, Heavy- quark expansion for lifetimes: Toward the QCD cor- rections to power suppressed terms, Phys. Rev. D107, 114026 (2023), arXiv:2304.08964 [hep-ph]
2023 arXiv
-
[22]
Mannel, D
T. Mannel, D. Moreno, and A. A. Pivovarov, QCD cor- rections for subleading powers in 1/mb for the non- leptonic b→cc¯s transition, Phys. Rev. D111, 094035 (2025), arXiv:2503.18775 [hep-ph]
2025 arXiv
-
[23]
Moretti, U
F. Moretti, U. Nierste, P. Reeck, and M. Steinhauser, Next-to-next-to-leading QCD corrections to theB +- B0 d,D +-D0, andD + s -D0 lifetime ratios, (2026), arXiv:2604.24841 [hep-ph]
2026 arXiv
-
[24]
Black, R
M. Black, R. V. Harlander, J. T. Kohnen, F. Lange, A. Rago, A. Shindler, and O. Witzel, Bag Parameters for Heavy Meson Lifetimes, (2026), arXiv:2603.28516 [hep- ph]
2026
-
[25]
Black, R
M. Black, R. V. Harlander, J. T. Kohnen, F. Lange, A. Rago, A. Shindler, and O. Witzel, Heavy- Meson Bag Parameters using Gradient Flow, (2026), arXiv:2603.28517 [hep-lat]
2026
-
[26]
Banerjeeet al.(Heavy Flavor Averaging Group (HFLAV)), Averages of b-hadron, c-hadron, andτ-lepton properties as of 2023, Phys
S. Banerjeeet al.(Heavy Flavor Averaging Group (HFLAV)), Averages of b-hadron, c-hadron, andτ-lepton properties as of 2023, Phys. Rev. D113, 012008 (2026), arXiv:2411.18639 [hep-ex]
2023 arXiv
-
[27]
Takahashiet al.(Particle Data Group), Review of Par- ticle Physics, Int
F. Takahashiet al.(Particle Data Group), Review of Par- ticle Physics, Int. J. Mod. Phys. A41, 2630011 (2026)
2026
-
[28]
Albajaret al.(UA1), First observation of the beauty baryon Λb in the decay channel Λb →J/ψΛ at the CERN proton - anti-proton collider, Phys
C. Albajaret al.(UA1), First observation of the beauty baryon Λb in the decay channel Λb →J/ψΛ at the CERN proton - anti-proton collider, Phys. Lett. B273, 540 (1991)
1991
-
[29]
Buskulicet al.(ALEPH), A Measurement of theb baryon lifetime, Phys
D. Buskulicet al.(ALEPH), A Measurement of theb baryon lifetime, Phys. Lett. B297, 449 (1992)
1992
-
[30]
Akerset al.(OPAL), Measurement of the averageb baryon lifetime and the product branching ratio f (b→ Lambdab ) x BR (Lambda(b)→Λℓ − anti-neutrinoX ), Z
R. Akerset al.(OPAL), Measurement of the averageb baryon lifetime and the product branching ratio f (b→ Lambdab ) x BR (Lambda(b)→Λℓ − anti-neutrinoX ), Z. Phys. C69, 195 (1996)
1996
-
[31]
Abreuet al.(DELPHI), Determination of the average lifetime of b baryons, Z
P. Abreuet al.(DELPHI), Determination of the average lifetime of b baryons, Z. Phys. C71, 199 (1996)
1996
-
[32]
Abreuet al.(DELPHI), Measurement of the lifetime ofb- baryons, Eur
P. Abreuet al.(DELPHI), Measurement of the lifetime ofb- baryons, Eur. Phys. J. C10, 185 (1999)
1999
-
[33]
Barateet al.(ALEPH), Measurement of theBbaryon lifetime and branching fractions inZdecays, Eur
R. Barateet al.(ALEPH), Measurement of theBbaryon lifetime and branching fractions inZdecays, Eur. Phys. J. C2, 197 (1998)
1998
-
[34]
Abreuet al.(DELPHI), Production of strange B baryons decaying into Xi-+ - lepton-+ pairs at LEP, Z
P. Abreuet al.(DELPHI), Production of strange B baryons decaying into Xi-+ - lepton-+ pairs at LEP, Z. Phys. C68, 541 (1995)
1995
-
[35]
Abdallahet al.(DELPHI), Production of Xi0(c) and Xi(b) in Z decays and lifetime measurement of X(b), Eur
J. Abdallahet al.(DELPHI), Production of Xi0(c) and Xi(b) in Z decays and lifetime measurement of X(b), Eur. Phys. J. C44, 299 (2005), arXiv:hep-ex/0510023
2005 arXiv
-
[36]
Abeet al.(CDF), Measurement of Λ 0 b lifetime using Λ0 b →Λ + c ℓ−¯ν, Phys
F. Abeet al.(CDF), Measurement of Λ 0 b lifetime using Λ0 b →Λ + c ℓ−¯ν, Phys. Rev. Lett.77, 1439 (1996)
1996
-
[37]
V. M. Abazovet al.(D0), Measurement of the Λ 0 b lifetime using semileptonic decays, Phys. Rev. Lett.99, 182001 (2007), arXiv:0706.2358 [hep-ex]
2007 arXiv
-
[38]
Aaltonenet al.(CDF), Measurement of the Λ b Lifetime in Λ b →Λ + c π− Decays inp¯pCollisions at√s= 1.96 TeV, Phys
T. Aaltonenet al.(CDF), Measurement of the Λ b Lifetime in Λ b →Λ + c π− Decays inp¯pCollisions at√s= 1.96 TeV, Phys. Rev. Lett.104, 102002 (2010), arXiv:0912.3566 [hep-ex]
2010 arXiv
-
[39]
Chatrchyanet al.(CMS), Measurement of the Λ 0 b Life- time in pp Collisions at √s= 7 TeV, JHEP07, 163, arXiv:1304.7495 [hep-ex]
S. Chatrchyanet al.(CMS), Measurement of the Λ 0 b Life- time in pp Collisions at √s= 7 TeV, JHEP07, 163, arXiv:1304.7495 [hep-ex]
-
[40]
T. A. Aaltonenet al.(CDF), Mass and lifetime mea- surements of bottom and charm baryons inp¯pcollisions at √s= 1.96 TeV, Phys. Rev. D89, 072014 (2014), arXiv:1403.8126 [hep-ex]
2014 arXiv
-
[41]
Aaijet al.(LHCb), Precision measurement of the ratio of the Λ0 b to B 0 lifetimes, Phys
R. Aaijet al.(LHCb), Precision measurement of the ratio of the Λ0 b to B 0 lifetimes, Phys. Lett. B734, 122 (2014), arXiv:1402.6242 [hep-ex]
2014 arXiv
-
[42]
Aaijet al.(LHCb), Measurement of the Ξ − b and Ω− b baryon lifetimes, Phys
R. Aaijet al.(LHCb), Measurement of the Ξ − b and Ω− b baryon lifetimes, Phys. Lett. B736, 154 (2014), arXiv:1405.1543 [hep-ex]
2014 arXiv
-
[43]
Aaijet al.(LHCb), Precision Measurement of the Mass and Lifetime of the Ξ − b Baryon, Phys
R. Aaijet al.(LHCb), Precision Measurement of the Mass and Lifetime of the Ξ − b Baryon, Phys. Rev. Lett. 113, 242002 (2014), arXiv:1409.8568 [hep-ex]
2014 arXiv
-
[44]
Aaijet al.(LHCb), Precision measurement of the mass and lifetime of the Ξ 0 b baryon, Phys
R. Aaijet al.(LHCb), Precision measurement of the mass and lifetime of the Ξ 0 b baryon, Phys. Rev. Lett.113, 032001 (2014), arXiv:1405.7223 [hep-ex]
2014 arXiv
-
[45]
Aaijet al.(LHCb), Measurement of the mass and life- time of the Ω − b baryon, Phys
R. Aaijet al.(LHCb), Measurement of the mass and life- time of the Ω − b baryon, Phys. Rev. D93, 092007 (2016), 10 arXiv:1604.01412 [hep-ex]
2016 arXiv
-
[46]
Aaijet al.(LHCb), Precision measurement of the Ξ− b baryon lifetime, Phys
R. Aaijet al.(LHCb), Precision measurement of the Ξ− b baryon lifetime, Phys. Rev. D110, 072002 (2024), arXiv:2406.12111 [hep-ex]
2024
-
[47]
Aaijet al.(LHCb), Precision measurement of the Ξ0 b baryon lifetime, Phys
R. Aaijet al.(LHCb), Precision measurement of the Ξ0 b baryon lifetime, Phys. Rev. D112, 052012 (2025), arXiv:2507.12402 [hep-ex]
2025
-
[48]
M. Fael, K. Sch¨ onwald, and M. Steinhauser, Third order corrections to the semileptonic b→c and the muon de- cays, Phys. Rev. D104, 016003 (2021), arXiv:2011.13654 [hep-ph]
2021 arXiv
-
[49]
Fael and F
M. Fael and F. Herren, NNLO QCD corrections to the q2 spectrum of inclusive semileptonic B-meson decays, JHEP05, 287, arXiv:2403.03976 [hep-ph]
-
[50]
M. Fael, K. Sch¨ onwald, and M. Steinhauser, Kinetic Heavy Quark Mass to Three Loops, Phys. Rev. Lett.125, 052003 (2020), arXiv:2005.06487 [hep-ph]
2020 arXiv
-
[51]
Herren and M
F. Herren and M. Steinhauser, Version 3 of RunDec and CRunDec, Comput. Phys. Commun.224, 333 (2018), arXiv:1703.03751 [hep-ph]
2018 arXiv
-
[52]
M. J. Dugan, M. Golden, and B. Grinstein, On the Hilbert space of the heavy quark effective theory, Phys. Lett. B282, 142 (1992)
1992
-
[53]
Chen, On the reparametrization invariance in heavy quark effective theory, Phys
Y.-Q. Chen, On the reparametrization invariance in heavy quark effective theory, Phys. Lett. B317, 421 (1993)
1993
-
[54]
M. E. Luke and A. V. Manohar, Reparametrization invariance constraints on heavy particle effective field theories, Phys. Lett. B286, 348 (1992), arXiv:hep- ph/9205228
1992
-
[55]
A. V. Manohar, Reparametrization Invariance Con- straints on Inclusive Decay Spectra and Masses, Phys. Rev. D82, 014009 (2010), arXiv:1005.1952 [hep-ph]
2010 arXiv
-
[56]
Gunawardana and G
A. Gunawardana and G. Paz, On HQET and NRQCD Operators of Dimension 8 and Above, JHEP07, 137, arXiv:1702.08904 [hep-ph]
-
[57]
Mannel and K
T. Mannel and K. K. Vos, Reparametrization Invariance and Partial Re-Summations of the Heavy Quark Expan- sion, JHEP06, 115, arXiv:1802.09409 [hep-ph]
-
[58]
Alberti, P
A. Alberti, P. Gambino, and S. Nandi, Perturbative cor- rections to power suppressed effects in semileptonic B decays, JHEP01, 147, arXiv:1311.7381 [hep-ph]
-
[59]
Mannel, A
T. Mannel, A. A. Pivovarov, and D. Rosenthal, Inclusive semileptonic B decays from QCD with NLO accuracy for power suppressed terms, Phys. Lett.B741, 290 (2015), arXiv:1405.5072 [hep-ph]
2015 arXiv
-
[60]
Mannel, A
T. Mannel, A. A. Pivovarov, and D. Rosenthal, Inclu- sive weak decays of heavy hadrons with power sup- pressed terms at NLO, Phys. Rev.D92, 054025 (2015), arXiv:1506.08167 [hep-ph]
2015 arXiv
-
[61]
Mannel, D
T. Mannel, D. Moreno, and A. A. Pivovarov, NLO QCD corrections to inclusiveb→cℓ¯νdecay spec- tra up to 1/m 3 Q, Phys. Rev. D105, 054033 (2022), arXiv:2112.03875 [hep-ph]
2022 arXiv
-
[62]
Moreno, NLO QCD corrections to inclusive semi- tauonic weak decays of heavy hadrons up to 1/m3 b, Phys
D. Moreno, NLO QCD corrections to inclusive semi- tauonic weak decays of heavy hadrons up to 1/m3 b, Phys. Rev. D106, 114008 (2022), arXiv:2207.14245 [hep-ph]
2022 arXiv
-
[63]
A. Lenz, M. L. Piscopo, and A. V. Rusov, Contribution of the Darwin operator to non-leptonic decays of heavy quarks, JHEP12, 199, arXiv:2004.09527 [hep-ph]
2004 arXiv
-
[64]
Mannel, D
T. Mannel, D. Moreno, and A. Pivovarov, Heavy quark expansion for heavy hadron lifetimes: completing the 1/m3 b corrections, JHEP08, 089, arXiv:2004.09485 [hep- ph]
2004 arXiv
-
[65]
Moreno, Completing 1/m 3 b corrections to non- leptonic bottom-to-up-quark decays, JHEP01, 051, arXiv:2009.08756 [hep-ph]
D. Moreno, Completing 1/m 3 b corrections to non- leptonic bottom-to-up-quark decays, JHEP01, 051, arXiv:2009.08756 [hep-ph]
2009 arXiv
-
[66]
Rahimi and K
M. Rahimi and K. K. Vos, Standard Model predictions for lepton flavour universality ratios of inclusive semilep- tonic B decays, JHEP11, 007, arXiv:2207.03432 [hep- ph]
-
[67]
Franco, V
E. Franco, V. Lubicz, F. Mescia, and C. Tarantino, Life- time ratios of beauty hadrons at the next-to-leading or- der in QCD, Nucl. Phys.B633, 212 (2002), arXiv:hep- ph/0203089 [hep-ph]
2002
-
[68]
Lenz and T
A. Lenz and T. Rauh, D-meson lifetimes within the heavy quark expansion, Phys. Rev.D88, 034004 (2013), arXiv:1305.3588 [hep-ph]
2013 arXiv
-
[69]
Beneke, G
M. Beneke, G. Buchalla, C. Greub, A. Lenz, and U. Nier- ste, TheB + −B 0 d Lifetime Difference Beyond Leading Logarithms, Nucl. Phys.B639, 389 (2002), arXiv:hep- ph/0202106 [hep-ph]
2002
-
[70]
B. M. Dassinger, T. Mannel, and S. Turczyk, Inclusive semi-leptonic B decays to order 1/m 4 b, JHEP03, 087, arXiv:hep-ph/0611168 [hep-ph]
-
[71]
Mannel, I
T. Mannel, I. S. Milutin, and K. K. Vos, Inclusive semileptonicb→cℓ νdecays to order 1/m 5 b, JHEP02, 226, arXiv:2311.12002 [hep-ph]
-
[72]
Neubert, Heavy quark symmetry, Phys
M. Neubert, Heavy quark symmetry, Phys. Rept.245, 259 (1994), arXiv:hep-ph/9306320
1994 arXiv
-
[73]
Neubert and C
M. Neubert and C. T. Sachrajda, Spectator effects in inclusive decays of beauty hadrons, Nucl. Phys. B483, 339 (1997), arXiv:hep-ph/9603202
1997 arXiv
-
[74]
De Rujula, H
A. De Rujula, H. Georgi, and S. L. Glashow, Hadron Masses in a Gauge Theory, Phys. Rev. D12, 147 (1975)
1975
-
[75]
Karliner and J
M. Karliner and J. L. Rosner, Baryons with two heavy quarks: Masses, production, decays, and detection, Phys. Rev. D90, 094007 (2014), arXiv:1408.5877 [hep-ph]
2014 arXiv
-
[76]
Aokiet al.(Flavour Lattice Averaging Group (FLAG)), FLAG review 2024, Phys
Y. Aokiet al.(Flavour Lattice Averaging Group (FLAG)), FLAG review 2024, Phys. Rev. D113, 014508 (2026), arXiv:2411.04268 [hep-lat]
2024 arXiv
-
[77]
Y. Aoki, T. Ishikawa, T. Izubuchi, C. Lehner, and A. Soni, NeutralBmeson mixings andBmeson decay constants with static heavy and domain-wall light quarks, Phys. Rev. D91, 114505 (2015), arXiv:1406.6192 [hep- lat]
2015 arXiv
-
[78]
M. Kirk, A. Lenz, and T. Rauh, Dimension-six ma- trix elements for meson mixing and lifetimes from sum rules, JHEP12, 068, [Erratum: JHEP 06, 162 (2020)], arXiv:1711.02100 [hep-ph]
2020 arXiv
-
[79]
Colangelo and F
P. Colangelo and F. De Fazio, Role of four quark oper- ators in the inclusive Lambda(b) decays, Phys. Lett. B 387, 371 (1996), arXiv:hep-ph/9604425
1996 arXiv
-
[80]
Wu, Y.-P
E.-Q. Wu, Y.-P. Xing, and Z.-X. Zhao, From QCD sum rules to HQET sum rules: Heavy-quark limit of four-quark operator matrix elements, (2026), arXiv:2606.08997 [hep-ph]
2026 arXiv
-
[81]
Zhao, X.-Y
Z.-X. Zhao, X.-Y. Sun, F.-W. Zhang, and Z.-P. Xing, On the four-quark operator matrix elements for the lifetime of Λ b, Eur. Phys. J. C84, 48 (2024), arXiv:2101.11874 [hep-ph]
2024 arXiv
-
[82]
I. I. Y. Bigi, M. A. Shifman, N. Uraltsev, and A. I. Vainshtein, High power n ofm b in beauty widths and n= 5→ ∞limit, Phys. Rev. D56, 4017 (1997), arXiv:hep-ph/9704245
1997 arXiv
-
[83]
Czarnecki, K
A. Czarnecki, K. Melnikov, and N. Uraltsev, NonAbelian dipole radiation and the heavy quark expansion, Phys. Rev. Lett.80, 3189 (1998), arXiv:hep-ph/9708372. 11
1998 arXiv
-
[84]
M. Fael, K. Sch¨ onwald, and M. Steinhauser, Relation be- tween theMS and the kinetic mass of heavy quarks, Phys. Rev. D103, 014005 (2021), arXiv:2011.11655 [hep-ph]
2021 arXiv
-
[85]
Finauri and P
G. Finauri and P. Gambino, The q2 moments in inclusive semileptonic B decays, JHEP02, 206, arXiv:2310.20324 [hep-ph]
-
[87]
Black, M
M. Black, M. Lang, A. Lenz, and Z. W¨ uthrich, HQET sum rules for matrix elements of dimension-six four- quark operators for meson lifetimes within and beyond the Standard Model, JHEP04, 081, arXiv:2412.13270 [hep-ph]
-
[88]
D. King, A. Lenz, and T. Rauh, SU(3) breaking ef- fects in B and D meson lifetimes, JHEP06, 134, arXiv:2112.03691 [hep-ph]
Reviewed July 8, 2026 · model on record in the stance chip above.
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