Padé/renormalization-group improvement of inclusive semileptonic B decay rates

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

doi:10.1016/S0920-5632(02)01958-8

Padé/renormalization-group improvement of inclusive semileptonic B decay rates

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

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

Renormalization Group (RG) and optimized Padé-approximant methods are used to estimate the three-loop perturbative contributions to the inclusive semileptonic b → u and b → c decay rates. It is noted that the MS scheme works favorably in the b → u case whereas the pole mass scheme shows better convergence in the b → c case. Upon the inclusion of the estimated three-loop contribution, we find the full perturbative decay rate to be 192π³Γ(b → uν̄_ℓℓ^- /(G_F² V_ub ²) = 2065 ± 290GeV⁵ and 192π³Γ(b → cℓ^-ν̄_ℓ /(G_F² V_cb ²) = 992 ± 198GeV⁵, respectively. The errors are inclusive of theoretical uncertainties and non-perturbative effects. Ultimately, these perturbative contributions reduce the theoretical uncertainty in the extraction of the CKM matrix elements V_ub and V_cb from their respective measured inclusive semileptonic branching ratio(s).

Original language	English
Pages (from-to)	82-84
Number of pages	3
Journal	Nuclear Physics B (Proceedings Supplements)
Volume	115
DOIs	https://doi.org/10.1016/S0920-5632(02)01958-8
Publication status	Published - Feb 2003
Externally published	Yes

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@article{864a94daa45e4729aa2bbf780dba0e5e,

title = "Pad{\'e}/renormalization-group improvement of inclusive semileptonic B decay rates",

abstract = "Renormalization Group (RG) and optimized Pad{\'e}-approximant methods are used to estimate the three-loop perturbative contributions to the inclusive semileptonic b → u and b → c decay rates. It is noted that the MS scheme works favorably in the b → u case whereas the pole mass scheme shows better convergence in the b → c case. Upon the inclusion of the estimated three-loop contribution, we find the full perturbative decay rate to be 192π3Γ(b → u{\=ν}ℓℓ- /(GF2 Vub 2) = 2065 ± 290GeV5 and 192π3Γ(b → cℓ-{\=ν}ℓ /(GF2 Vcb 2) = 992 ± 198GeV5, respectively. The errors are inclusive of theoretical uncertainties and non-perturbative effects. Ultimately, these perturbative contributions reduce the theoretical uncertainty in the extraction of the CKM matrix elements Vub and Vcb from their respective measured inclusive semileptonic branching ratio(s).",

author = "Ahmady, \{M. R.\} and Chishtie, \{F. A.\} and V. 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)01958-8",

language = "English",

volume = "115",

pages = "82--84",

journal = "Nuclear Physics B (Proceedings Supplements)",

issn = "0920-5632",

publisher = "Elsevier",

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TY - JOUR

T1 - Padé/renormalization-group improvement of inclusive semileptonic B decay rates

AU - Ahmady, M. R.

AU - Chishtie, F. A.

AU - Elias, V.

AU - Fariborz, A. H.

AU - McKeon, D. G.C.

AU - Sherry, T. N.

AU - Steele, T. G.

PY - 2003/2

Y1 - 2003/2

N2 - Renormalization Group (RG) and optimized Padé-approximant methods are used to estimate the three-loop perturbative contributions to the inclusive semileptonic b → u and b → c decay rates. It is noted that the MS scheme works favorably in the b → u case whereas the pole mass scheme shows better convergence in the b → c case. Upon the inclusion of the estimated three-loop contribution, we find the full perturbative decay rate to be 192π3Γ(b → uν̄ℓℓ- /(GF2 Vub 2) = 2065 ± 290GeV5 and 192π3Γ(b → cℓ-ν̄ℓ /(GF2 Vcb 2) = 992 ± 198GeV5, respectively. The errors are inclusive of theoretical uncertainties and non-perturbative effects. Ultimately, these perturbative contributions reduce the theoretical uncertainty in the extraction of the CKM matrix elements Vub and Vcb from their respective measured inclusive semileptonic branching ratio(s).

AB - Renormalization Group (RG) and optimized Padé-approximant methods are used to estimate the three-loop perturbative contributions to the inclusive semileptonic b → u and b → c decay rates. It is noted that the MS scheme works favorably in the b → u case whereas the pole mass scheme shows better convergence in the b → c case. Upon the inclusion of the estimated three-loop contribution, we find the full perturbative decay rate to be 192π3Γ(b → uν̄ℓℓ- /(GF2 Vub 2) = 2065 ± 290GeV5 and 192π3Γ(b → cℓ-ν̄ℓ /(GF2 Vcb 2) = 992 ± 198GeV5, respectively. The errors are inclusive of theoretical uncertainties and non-perturbative effects. Ultimately, these perturbative contributions reduce the theoretical uncertainty in the extraction of the CKM matrix elements Vub and Vcb from their respective measured inclusive semileptonic branching ratio(s).

UR - https://www.scopus.com/pages/publications/0037274406

U2 - 10.1016/S0920-5632(02)01958-8

DO - 10.1016/S0920-5632(02)01958-8

M3 - Article

AN - SCOPUS:0037274406

SN - 0920-5632

VL - 115

SP - 82

EP - 84

JO - Nuclear Physics B (Proceedings Supplements)

JF - Nuclear Physics B (Proceedings Supplements)

ER -

Padé/renormalization-group improvement of inclusive semileptonic B decay rates

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