Determination of heavy quark non-perturbative parameters from spectral moments in semileptonic B decays

et al; J. Abdallah; the DELPHI Collaboration

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Determination of heavy quark non-perturbative parameters from spectral moments in semileptonic B decays

The DELPHI Collaboration, J. Abdallah, et al

High Energy Physics - Experiment · Submitted 7 Oct 2005

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

The authors' main claim Using these results, and present measurements of the inclusive semileptonic decay partial width of b-hadrons at LEP, an accurate determination of |V_cb| is obtained: |V_cb| = 0.0421 x (1 +/- 0.014 (meas.) +/- 0.014 (fit) +/- 0.015 (th.)).

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Citationet al, J. Abdallah, the DELPHI Collaboration. "Determination of heavy quark non-perturbative parameters from spectral moments in semileptonic B decays." arXiv:hep-ex/0510024 (2005). https://pith.science/paper/GII4SYLE

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Moments of the hadronic invariant mass and of the lepton energy spectra in semileptonic B decays have been determined with the data recorded by the DELPHI detector at LEP. From measurements of the inclusive b-hadron semileptonic decays, and imposing constraints from other measurements on b- and c-quark masses, the first three moments of the lepton energy distribution and of the hadronic mass distribution, have been used to determine parameters which enter into the extraction of |V_cb| from the measurement of the inclusive b-hadron semileptonic decay width. The values obtained in the kinetic scheme are: m_b(1 GeV) = 4.591 +/- 0.062 +/- 0.039 +/- 0.005 GeV/c^2 m_c(1 GeV) = 1.170 +/- 0.093 +/- 0.055 +/- 0.005 GeV/c^2 mu_{pi}^2(1 GeV) = 0.399 +/- 0.048 +/- 0.034 +/- 0.087 GeV^2 \tilde{\rho}_D^3 = 0.053 +/- 0.017 +/- 0.011 +/- 0.026 GeV^3, and include corrections at order 1/m_b^3. Using these results, and present measurements of the inclusive semileptonic decay partial width of b-hadrons at LEP, an accurate determination of |V_cb| is obtained: |V_cb| = 0.0421 x (1 +/- 0.014 (meas.) +/- 0.014 (fit) +/- 0.015 (th.)).

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Moments of the hadronic invariant mass and of the lepton energy spectra in semileptonic B decays have been determined with the data recorded by the DELPHI detector at LEP.	method 0.70	0.93	0.03	asserted 1.00
s1	From measurements of the inclusive b-hadron semileptonic decays, and imposing constraints from other measurements on b- and c-quark masses, the first three moments of the lepton energy distribution and of the hadronic mass distribution, have been used to determine parameters which enter into the extraction of \|V_cb\| from the measurement of the inclusive b-hadron semileptonic decay width.	method 0.83	0.89	0.09	asserted 1.00
s2	The values obtained in the kinetic scheme are: m_b(1 GeV) = 4.591 +/- 0.062 +/- 0.039 +/- 0.005 GeV/c^2 m_c(1 GeV) = 1.170 +/- 0.093 +/- 0.055 +/- 0.005 GeV/c^2 mu_{pi}^2(1 GeV) = 0.399 +/- 0.048 +/- 0.034 +/- 0.087 GeV^2 \tilde{\rho}_D^3 = 0.053 +/- 0.017 +/- 0.011 +/- 0.026 GeV^3, and include corrections at order 1/m_b^3.	result 1.00	0.96	0.15	asserted 1.00
s3	Using these results, and present measurements of the inclusive semileptonic decay partial width of b-hadrons at LEP, an accurate determination of \|V_cb\| is obtained: \|V_cb\| = 0.0421 x (1 +/- 0.014 (meas.) +/- 0.014 (fit) +/- 0.015 (th.)).	result 1.00	0.93	0.79	asserted 1.00

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Original abstract

Moments of the hadronic invariant mass and of the lepton energy spectra in semileptonic B decays have been determined with the data recorded by the DELPHI detector at LEP. From measurements of the inclusive b-hadron semileptonic decays, and imposing constraints from other measurements on b- and c-quark masses, the first three moments of the lepton energy distribution and of the hadronic mass distribution, have been used to determine parameters which enter into the extraction of |V_cb| from the measurement of the inclusive b-hadron semileptonic decay width. The values obtained in the kinetic scheme are: m_b(1 GeV) = 4.591 +/- 0.062 +/- 0.039 +/- 0.005 GeV/c^2 m_c(1 GeV) = 1.170 +/- 0.093 +/- 0.055 +/- 0.005 GeV/c^2 mu_{pi}^2(1 GeV) = 0.399 +/- 0.048 +/- 0.034 +/- 0.087 GeV^2 \tilde{\rho}_D^3 = 0.053 +/- 0.017 +/- 0.011 +/- 0.026 GeV^3, and include corrections at order 1/m_b^3. Using these results, and present measurements of the inclusive semileptonic decay partial width of b-hadrons at LEP, an accurate determination of |V_cb| is obtained: |V_cb| = 0.0421 x (1 +/- 0.014 (meas.) +/- 0.014 (fit) +/- 0.015 (th.)).

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Cited by 7 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.
New Physics in inclusive semileptonic $B$ decays
hep-ph 2025-07 conditional novelty 6.0 of 10

A global fit to inclusive semileptonic B decay moments and rate constrains all seven dimension-six new-physics parameters, finding no significant BSM signal but new bounds, especially on the right-handed vector Wilson...
Kinematic Moments of $\bar{B}\to X_c \ell \bar{\nu}_\ell$ to Order $\mathcal{O}(\Lambda_{\rm QCD}^5/m_b^5)$
hep-ph 2025-01 conditional novelty 6.0 of 10

Analytic HQE moments for inclusive B to X_c l nu are extended to O(Lambda^5/m_b^5), including q^2 moments with a lepton-energy cut, and a CLEO data tension is identified.
Taming the higher power corrections in semileptonic B decays
hep-ph 2016-06 conditional novelty 5.0 of 10

Adding dimension-7 and dimension-8 operators to the global fit of inclusive semileptonic B decay moments shifts |Vcb| by about 0.25%, confirming that higher power corrections do not destabilize the inclusive extraction.

Show 2 more citing papers

Performance of $b$-Jet Identification in the ATLAS Experiment
hep-ex 2015-12 accept novelty 5.0 of 10

ATLAS calibrates its b-jet, c-jet and light-flavour mistag efficiencies on 4.7 fb-1 of 7 TeV data with multiple independent methods and combines them into data-to-simulation scale factors consistent with unity.
Jet energy measurement and its systematic uncertainty in proton-proton collisions at $\sqrt{s}=7$ TeV with the ATLAS detector
hep-ex 2014-05 accept novelty 5.0 of 10

ATLAS calibrates its calorimeter jet energy scale in situ against photons, Z bosons and multijet balance, and reports a total systematic uncertainty below 1% for central jets with 55 < pT < 500 GeV.

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21 arXiv papers cite this in 25 sentences

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Notably, the measurement of Ref. [ref] is in conflict with the measured branching fractions of Refs. [ref] and with the expectation of $ℬ(B →D_1^* ℓν̅_ℓ)$ being of similar size to $ℬ(B →D_0^* ℓν̅_ℓ)$ [ref] .

Measurements of $q^2$ Moments of Inclusive $B \rightarrow X_c \ell^+ \nu_{\ell}$ Decays with Hadronic Tagging · Data Set and Simulated Samples · contest 0.82
We exclude the measurement of Ref. [ref] that is in conflict with the measured branching fractions of Refs. [ref] .

Measurement of Lepton Mass Squared Moments in $B \to X_c \ell \bar \nu_{\ell}$ Decays with the Belle II Experiment · Simulation of · contest 0.83
Notably, the measurement of Ref. [ref] is in conflict with the measured branching fractions of Refs. [ref] and with the expectation of $ℬ(B →D_1^* ℓν̅_ℓ)$ being of similar size than $ℬ(B →D_0 ℓν̅_ℓ)$ [ref] .

Measurements of Partial Branching Fractions of Inclusive $B \to X_u \, \ell^+\, \nu_{\ell}$ Decays with Hadronic Tagging · Data Set and Simulated Samples · contest 0.83

Uses its data or values 7 papers

The moments in the lepton energy and hadronic invariant mass were measured by BaBar [ref] [The BaBar data for leptonic moments and $ℬ_cut(E_ℓ_cut)$ are corrected for the complete $𝒪(α_em)$ effects calculated in Ref. [ref] , see Section 3.2 of Ref. [ref] .], CLEO [ref] , DELPHI [ref] , CDF [ref] and Belle [ref] .

New Physics in inclusive semileptonic $B$ decays · Observables · 0.99
This affects mostly the third hadronic moment measured by Delphi [ref] , which has an experimental uncertainty of about 20% and favours a low $$, and results in an increase of $∼0.008 GeV^3$ of the central value of $$ in the fit.

The $q^2$ moments in inclusive semileptonic $B$ decays · Update of the semileptonic fit · 0.94
The charged lepton energy moments have been measured by the DELPHI [ref] , BaBar [ref] and Belle [ref] collaborations, the hadronic invariant mass moments have been measured by the BaBar [ref] , Belle [ref] , Belle II [ref] , CDF [ref] , CLEO [ref] and DELPHI [ref] collaborations and the $q^2$ moments have been measured by the Belle [ref] , Belle II [ref] and CLEO [ref] collaborations.

Finite $W$ mass corrections to inclusive $B$ decays · Results · 0.94

Compares with it 3 papers

They quote [ref] [equation] where we note (as is known) that the third moment is quite off from the theoretical predictions that employs HQE elements extracted from this data.

Inclusive semileptonic $B_{s}^{0}$ meson decays at the LHC via a sum-of-exclusive modes technique: possibilities and prospects · Expressions for the moments and theoretical inputs · 0.89
The results in Eq. ([ref]) can be compared to the experimental measurements of the $M_X$ moments performed by DELPHI [ref] :[We thank P.

A first glance to the kinematic moments of $B \to X_c \ell \nu$ at third order · Hadronic Invariant Mass Moments · 0.93
The distributions were compared with the measurement from DELPHI [ref] and the difference between and the DELPHI measurement is used as a systematic uncertainty.

Measurement of the nuclear modification factor of $b$-jets in 5.02 TeV Pb+Pb collisions with the ATLAS detector · Systematic uncertainties · 0.81

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