Moments of lepton spectrum in B decays and the $m_b-m_c$ quark mass difference

Abstract

It is argued that the quark mass difference $m_b-m_c$ can be extracted with a high accuracy from experimental data on ratia of moments of lepton energy spectrum in semileptonic decays of $B$ mesons. Theoretical expressions for the moments are presented, which include perturbative as well as non-perturbative corrections.

10 pages, LaTeX. (3 references added, corrected numerical data in Table 1)

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Cited by in corpus (29)

• The Physics of the B Factories
• Flavor Physics in the Quark Sector
• Aspects Of Heavy Quark Theory
• Global analysis of inclusive B decays
• Implications of the $B\to X\ell {\bar{\nu }}_{\ell }$ lepton spectrum for heavy quark physics
• Moments of semileptonic B decay distributions in the 1/m_b expansion
• Precision determination of |V_{ub}| from inclusive decays
• Perturbative corrections to semileptonic b decay distributions
• Hadronic Mass Moments in Inclusive Semileptonic B Meson Decays
• Deciphering top flavor violation at the LHC with B factories
• O(α_s^2) corrections to semileptonic decay b \to c l \bar ν_l
• B decay shape variables and the precision determination of |Vcb| and mb
• Determination of the Branching Fraction for B --> Xc l nu Decays and of |Vcb| from Hadronic-Mass and Lepton-Energy Moments
• V_{ub} from the Hadronic Invariant Mass Spectrum in Semileptonic B Decay
• Hadronic Spectral Moments in Semileptonic B Decays With a Lepton Energy Cut
• Kinetic corrections to B -> X_c l nu at one loop
• Improving Extractions of |Vcb| and mb from the Hadronic Invariant Mass Moments of Semileptonic Inclusive B decay
• Measurement of the B-Meson Inclusive Semileptonic Branching Fraction and Electron-Energy Moments
• The Mass of the b Quark
• Heavy Quark Parameters and Vcb from Spectral Moments in Semileptonic B Decays
• Tau lepton distributions in semileptonic B decays
• Improved variables for measuring the $Lambd{a}_b$ polarization
• Polarization of tau leptons in semileptonic B decays
• Master Integrals for Inclusive Weak Decays of Heavy Flavours at Next-to-Leading Order
• Non-factorizable terms, heavy quark masses, and semileptonic decays of D and B mesons
• Heavy Quark Effective Theory and Inclusive B Decays
• Theoretical Aspects of the Heavy Quark Expansion
• Improving Extractions of |Vcb| and the b Quark Mass from Semileptonic Inclusive B Decay
• Inclusive semileptonic B decays and |Vcb|