Two-loop matrix element of the current-current operator in the decay B→Xsγ

Andrzej J. Buras; Andrzej Czarnecki; Mikolaj S. Misiak; J. örg Urban

doi:10.1016/S0550-3213(01)00336-4

Two-loop matrix element of the current-current operator in the decay B→X_sγ

Andrzej J. Buras
, Andrzej Czarnecki
, Mikolaj S. Misiak
, J. örg Urban

Chair of Theoretical Elementary Particle Physics

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

55 Scopus citations

Abstract

We evaluate important two-loop matrix element 〈sγ|Q₂|b〉 of the operator (c̄γ^μP_Lb)(s̄γ_μP_Lb) contributing to the inclusive radiative decay B→X_sγ. The calculation is performed in the NDR scheme, by means of asymptotic expansions method. The result is given as a series in z≡m_c²/m_b² up to O(z⁶). We confirm the result of Greub, Hurth and Wyler obtained by a different method up to O(z³). Higher-order terms are found to be numerically insignificant.

Original language	English
Pages (from-to)	488-502
Number of pages	15
Journal	Nuclear Physics, Section B
Volume	611
Issue number	1-3
DOIs	https://doi.org/10.1016/S0550-3213(01)00336-4
State	Published - 17 Sep 2001

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title = "Two-loop matrix element of the current-current operator in the decay B→Xsγ",

abstract = "We evaluate important two-loop matrix element 〈sγ|Q2|b〉 of the operator ({\=c}γμPLb)({\=s}γμPLb) contributing to the inclusive radiative decay B→Xsγ. The calculation is performed in the NDR scheme, by means of asymptotic expansions method. The result is given as a series in z≡mc2/mb2 up to O(z6). We confirm the result of Greub, Hurth and Wyler obtained by a different method up to O(z3). Higher-order terms are found to be numerically insignificant.",

author = "Buras, \{Andrzej J.\} and Andrzej Czarnecki and Misiak, \{Mikolaj S.\} and Urban, \{J. {\"o}rg\}",

note = "Funding Information: This work was supported by Deutscher Akademischer Austauschdienst (DAAD), by the Natural Sciences and Engineering Research Council (NSERC), and by the German Bundesministerium f{\"u}r Bildung und Forschung under contract 05HT9WOA0. M.M. was supported by the Polish Committee for Scientific Research under grant 2 P03B 121 20.",

year = "2001",

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doi = "10.1016/S0550-3213(01)00336-4",

language = "English",

volume = "611",

pages = "488--502",

journal = "Nuclear Physics, Section B",

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T1 - Two-loop matrix element of the current-current operator in the decay B→Xsγ

AU - Buras, Andrzej J.

AU - Czarnecki, Andrzej

AU - Misiak, Mikolaj S.

AU - Urban, J. örg

N1 - Funding Information: This work was supported by Deutscher Akademischer Austauschdienst (DAAD), by the Natural Sciences and Engineering Research Council (NSERC), and by the German Bundesministerium für Bildung und Forschung under contract 05HT9WOA0. M.M. was supported by the Polish Committee for Scientific Research under grant 2 P03B 121 20.

PY - 2001/9/17

Y1 - 2001/9/17

N2 - We evaluate important two-loop matrix element 〈sγ|Q2|b〉 of the operator (c̄γμPLb)(s̄γμPLb) contributing to the inclusive radiative decay B→Xsγ. The calculation is performed in the NDR scheme, by means of asymptotic expansions method. The result is given as a series in z≡mc2/mb2 up to O(z6). We confirm the result of Greub, Hurth and Wyler obtained by a different method up to O(z3). Higher-order terms are found to be numerically insignificant.

AB - We evaluate important two-loop matrix element 〈sγ|Q2|b〉 of the operator (c̄γμPLb)(s̄γμPLb) contributing to the inclusive radiative decay B→Xsγ. The calculation is performed in the NDR scheme, by means of asymptotic expansions method. The result is given as a series in z≡mc2/mb2 up to O(z6). We confirm the result of Greub, Hurth and Wyler obtained by a different method up to O(z3). Higher-order terms are found to be numerically insignificant.

UR - https://www.scopus.com/pages/publications/0035904123

U2 - 10.1016/S0550-3213(01)00336-4

DO - 10.1016/S0550-3213(01)00336-4

M3 - Article

AN - SCOPUS:0035904123

SN - 0550-3213

VL - 611

SP - 488

EP - 502

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-3

ER -

Two-loop matrix element of the current-current operator in the decay B→X_sγ

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