Renormalization-mass scale dependence in QCD contributions to semileptonic b → u decay

M. R. Ahmady; F. A. Chishtie; C. Elias; A. H. Fariborz; D. G.C. McKeon; T. N. Sherry; T. G. Steele

doi:10.1016/S0920-5632(02)01959-X

Renormalization-mass scale dependence in QCD contributions to semileptonic b → u decay

M. R. Ahmady
, F. A. Chishtie
, C. Elias
, A. H. Fariborz
, D. G.C. McKeon
, T. N. Sherry
, T. G. Steele

College of Arts & Sciences

SUNY Polytechnic Institute

Mount Allison University
Cornell University
Perimeter Institute for Theoretical Physics
Western University
University of Galway
University of Saskatchewan

Research output: Contribution to journal › Article › peer-review

Abstract

QCD contributions to the b → uℓ^-ν̄_ℓ decay rate, which are known to two-loop order in the MS scheme, exhibit sufficient dependence on the renormalization mass μ to compromise phenomenological predictions for inclusive semileptonic B → X_u processes. Such scale dependence is ameliorated by the renormalization-group (RG) extraction and summation of all leading and RG-accessible subleading logarithms occurring subsequent to two-loop order in the perturbative series. This optimal RG-improvement of the known portion of the perturbative series virtually eliminates μ-dependence as a source of theoretical uncertainty in the predicted semileptonic B → X_u inclusive rate.

Original language	English
Pages (from-to)	85-88
Number of pages	4
Journal	Nuclear Physics B - Proceedings Supplements
Volume	115
DOIs	https://doi.org/10.1016/S0920-5632(02)01959-X
State	Published - Feb 2003

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@article{44876de2477d410eb096f11f9e461acb,

title = "Renormalization-mass scale dependence in QCD contributions to semileptonic b → u decay",

abstract = "QCD contributions to the b → uℓ-{\=ν}ℓ decay rate, which are known to two-loop order in the MS scheme, exhibit sufficient dependence on the renormalization mass μ to compromise phenomenological predictions for inclusive semileptonic B → Xu processes. Such scale dependence is ameliorated by the renormalization-group (RG) extraction and summation of all leading and RG-accessible subleading logarithms occurring subsequent to two-loop order in the perturbative series. This optimal RG-improvement of the known portion of the perturbative series virtually eliminates μ-dependence as a source of theoretical uncertainty in the predicted semileptonic B → Xu inclusive rate.",

author = "Ahmady, \{M. R.\} and Chishtie, \{F. A.\} and C. Elias and Fariborz, \{A. H.\} and McKeon, \{D. G.C.\} and Sherry, \{T. N.\} and Steele, \{T. G.\}",

year = "2003",

month = feb,

doi = "10.1016/S0920-5632(02)01959-X",

language = "English",

volume = "115",

pages = "85--88",

journal = "Nuclear Physics B - Proceedings Supplements",

issn = "0920-5632",

}

TY - JOUR

T1 - Renormalization-mass scale dependence in QCD contributions to semileptonic b → u decay

AU - Ahmady, M. R.

AU - Chishtie, F. A.

AU - Elias, C.

AU - Fariborz, A. H.

AU - McKeon, D. G.C.

AU - Sherry, T. N.

AU - Steele, T. G.

PY - 2003/2

Y1 - 2003/2

N2 - QCD contributions to the b → uℓ-ν̄ℓ decay rate, which are known to two-loop order in the MS scheme, exhibit sufficient dependence on the renormalization mass μ to compromise phenomenological predictions for inclusive semileptonic B → Xu processes. Such scale dependence is ameliorated by the renormalization-group (RG) extraction and summation of all leading and RG-accessible subleading logarithms occurring subsequent to two-loop order in the perturbative series. This optimal RG-improvement of the known portion of the perturbative series virtually eliminates μ-dependence as a source of theoretical uncertainty in the predicted semileptonic B → Xu inclusive rate.

AB - QCD contributions to the b → uℓ-ν̄ℓ decay rate, which are known to two-loop order in the MS scheme, exhibit sufficient dependence on the renormalization mass μ to compromise phenomenological predictions for inclusive semileptonic B → Xu processes. Such scale dependence is ameliorated by the renormalization-group (RG) extraction and summation of all leading and RG-accessible subleading logarithms occurring subsequent to two-loop order in the perturbative series. This optimal RG-improvement of the known portion of the perturbative series virtually eliminates μ-dependence as a source of theoretical uncertainty in the predicted semileptonic B → Xu inclusive rate.

UR - https://www.scopus.com/pages/publications/0037277020

U2 - 10.1016/S0920-5632(02)01959-X

DO - 10.1016/S0920-5632(02)01959-X

M3 - Article

SN - 0920-5632

VL - 115

SP - 85

EP - 88

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

ER -

Renormalization-mass scale dependence in QCD contributions to semileptonic b → u decay

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