Kinetic corrections to B -> X_c l nu at one loop

Enrico Lunghi; Heike Boos; Thomas Becher

RECORD

Kinetic corrections to B -> X_c l nu at one loop

Thomas Becher, Heike Boos, Enrico Lunghi

High Energy Physics - Phenomenology · Submitted 6 Aug 2007

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Together with a two-loop calculation of the leading-power rate and an evaluation of the one-loop corrections to the Wilson coefficient of the chromo-magnetic operator, our results will allow for a high-precision determination of |V_cb| and the b- and c-quark masses.

how it is stated · hedged possibility 0.59 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,680 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.59 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.97 · compares with prior results 0.30 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We evaluate the one-loop corrections to the Wilson coefficient of the kinetic operator in the operator product expansion of the differential B -> X_c l nu decay rate. With a moderate cut on the lepton energy, the one-loop terms change the kinetic operator contributions to spectral moments by about 20%. This amounts to a small correction for leptonic and hadronic moments, except for those which vanish at the lowest order, where the effect can be sizable. Together with a two-loop calculation of the leading-power rate and an evaluation of the one-loop corrections to the Wilson coefficient of the chromo-magnetic operator, our results will allow for a high-precision determination of |V_cb| and the b- and c-quark masses.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We evaluate the one-loop corrections to the Wilson coefficient of the kinetic operator in the operator product expansion of the differential B -> X_c l nu decay rate.	contribution 1.00	0.95	0.08	asserted 0.99
s1	With a moderate cut on the lepton energy, the one-loop terms change the kinetic operator contributions to spectral moments by about 20%.	result 1.00	0.90	0.24	asserted 1.00
s2	This amounts to a small correction for leptonic and hadronic moments, except for those which vanish at the lowest order, where the effect can be sizable.	interpretation 0.92	0.87	0.19	asserted 0.94
s3	Together with a two-loop calculation of the leading-power rate and an evaluation of the one-loop corrections to the Wilson coefficient of the chromo-magnetic operator, our results will allow for a high-precision determination of \|V_cb\| and the b- and c-quark masses.	interpretation 0.81	0.68	0.43	hedged possibility 0.59

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.84.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We evaluate the one-loop corrections to the Wilson coefficient of the kinetic operator in the operator product expansion of the differential B -> X_c l nu decay rate. With a moderate cut on the lepton energy, the one-loop terms change the kinetic operator contributions to spectral moments by about 20%. This amounts to a small correction for leptonic and hadronic moments, except for those which vanish at the lowest order, where the effect can be sizable. Together with a two-loop calculation of the leading-power rate and an evaluation of the one-loop corrections to the Wilson coefficient of the chromo-magnetic operator, our results will allow for a high-precision determination of |V_cb| and the b- and c-quark masses.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Third order corrections to the semi-leptonic \boldmath{$b\to c$} and the muon decays
hep-ph 2020-11 accept novelty 7.0 of 10

The three-loop QCD corrections to b to c semileptonic decay are computed and found to be below 1 percent in the kinetic scheme, with companion results for b to u and for third-order QED corrections to muon decay.
Inclusive $B$ decays, lifetimes, and $|V_{cb}|$: a unified heavy-quark expansion analysis
hep-ph 2026-09 conditional novelty 6.0 of 10

A unified HQE fit with fitted perturbative scales gives |Vcb| = (42.32 ± 0.30) x 10^-3, predicted lifetimes 1.1 to 1.2 sigma below experiment, and a full-dataset p-value of 8.4 x 10^-5.
First extraction of inclusive $V_{cb}$ from $q^2$ moments
hep-ph 2022-05 accept novelty 6.0 of 10

Using q2 moments measured by Belle and Belle II, the authors obtain |Vcb| = (41.69 +/- 0.63) x 10^-3, consistent with the established inclusive value from lepton-energy and hadronic-mass moments.
Perturbative corrections to power suppressed effects in semileptonic B decays
hep-ph 2013-11 accept novelty 6.0 of 10

The O(alpha_s) correction to the chromomagnetic operator's Wilson coefficient in inclusive semileptonic B decays is computed, completing the O(alpha_s Lambda^2/m_b^2) contribution to the semileptonic width and lepton-...
Higher Order Power Corrections in Inclusive B Decays
hep-ph 2010-09 conditional novelty 6.0 of 10

Tree-level OPE corrections at order 1/m_b^4 and 1/m_b^5 in inclusive semileptonic B decay are computed and estimated by ground-state saturation, implying a small upward shift of about 0.4 percent in |V_cb|.

Show 5 more citing papers

Precision determination of the CKM element Vcb
hep-ph 2014-11 conditional novelty 5.0 of 10

Including the newly computed O(alpha_s Lambda^2/m_b^2) corrections in a global fit to inclusive semileptonic B moments yields |Vcb| = (42.21 +/- 0.78) x 10^-3 and m_b^kin(1 GeV) = 4.553 +/- 0.020 GeV.
Inclusive semileptonic fits, heavy quark masses, and V_cb
hep-ph 2013-07 accept novelty 5.0 of 10

A global fit to semileptonic B decay moments with NNLO corrections and an external charm mass yields |Vcb| = 42.42(86) x 10^-3 and m_b^kin = 4.541(23) GeV.
B semileptonic moments at NNLO
hep-ph 2011-07 conditional novelty 5.0 of 10

The first three lepton-energy and hadronic-mass moments in inclusive B semileptonic decays are computed at complete O(alpha_s^2), and the non-BLM corrections are found to be small, confirming the earlier O(alpha_s^2 b...
Lifetimes and HQE
hep-ph 2014-05 accept novelty 3.0 of 10

The Heavy Quark Expansion survives all current lifetime tests, and updated predictions give tau(B+)/tau(Bd) = 1.04, tau(Bs)/tau(Bd) = 1.001, tau(Lambda_b)/tau(Bd) = 0.935 and tau-bar(Xi_b^0)/tau-bar(Xi_b^+) = 0.95.
SuperB Progress Reports -- Physics
hep-ex 2010-08 accept novelty 3.0 of 10

The report argues that a 75 ab^-1 e+e- flavour factory could probe new physics at 10-100 TeV and discriminate among models through correlated rare-decay and CP measurements.

How the literature uses it

38 arXiv papers cite this in 47 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 34 sentences without a confident label

Compares with it 1 paper

We have confirmed the numerical results presented in [ref] and reproduced the RI relations given by Manohar [ref] .

Kinetic operator effects in B-> X_c l nu at O(alpha_s) · Summary · 0.97

Cites it as background 11 papers

The relations for differential distributions and moments tend to be more intricate, see [ref] , especially in the presence of experimental cuts.

Kinetic operator effects in B-> X_c l nu at O(alpha_s) · Reparameterization Invariance relations · 0.84
Lepton energy moments and moments of hadronic invariant mass have been extensively measured at $B$ factories and their prediction is know up to next-to-next-to leading order (NNLO) for free quarks [ref] , and next-to-leading order (NLO) at order $1/m_b^2$ [ref] .

A first glance to the kinematic moments of $B \to X_c \ell \nu$ at third order · Introduction · 0.80
Current state-of-the-art analysis are theoretical calculations up to $O(α_s^2)$ [ref] , the mixed $O(α_s / m_b )$ [ref] and $O(1/m_b^5)$ non-perturbative corrections; the results for $1/m_b^3$ have been known [ref] for quiet some time, while the calculations of $1/m_b^4$ [ref] and $1/m_b^5$ [ref] including investigations concerning subtleties due to the heavy final state quark “intrinsic-charm” [ref] have lately been performed.

Additional Information on Heavy Quark Parameters from Charged Lepton Forward-Backward Asymmetry · Introduction · 0.83

What it cites · 44 sentences without a confident label

Contests 1 paper

In the fit of [ref] , the corrections are underestimated to be $α_s/4πΛ_QCD^2/m_b^2∼0.0002$: the contributions we find are roughly ten times larger.

Global analysis of inclusive B decays · Results for the moments of the differential rate · contest 0.83

Uses the method or tool of 2 papers

Using heavy-quark effective theory (HQET) [ref] , all the matrix elements necessary to second order in the expansion can be reduced to [equation] The HQET parameter $μ_π^2$ is often denoted by $-λ_1$ and is not renormalized.

Heavy Quark Symmetry · Evaluation of the kinetic corrections · 0.93
A definition of the axial current in $d$ dimensions suitable for our purposes has been given by Larin [ref] and we adopt it for our calculation.

The renormalization of the axial anomaly in dimensional regularization · Evaluation of the kinetic corrections · 1.00

Compares with 1 paper

As a byproduct of our analysis, we obtain the $O(α_s)$ corrections to the leading-power moments and reproduce the numerical results of [ref] .

Perturbative corrections to semileptonic b decay distributions · Introduction · 0.98

Cites as background 7 papers

Schematically, the decay rate takes the form [ref] [equation] where $ρ=m_c^2/m_b^2$.

QCD Predictions for Lepton Spectra in Inclusive Heavy Flavour Decays · Introduction · 0.92
Schematically, the decay rate takes the form [ref] [equation] where $ρ=m_c^2/m_b^2$.

Differential Distributions in Semileptonic Decays of the Heavy Flavors in QCD · Introduction · 0.92
Schematically, the decay rate takes the form [ref] [equation] where $ρ=m_c^2/m_b^2$.

Inclusive Semileptonic B and Polarized Lambda_b Decays from QCD · Introduction · 0.92

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.