Two loop virtual corrections to b → ( d , s ) ℓ +

Abstract

Non-factorizable two loop corrections to heavy to light flavor changing neutral current transitions due to matrix elements of current–current operators are calculated analytically for arbitrary momentum transfer. This extends previous work on $b \to (d, s) ℓ^{+} ℓ^{-}$ transitions. New results for $c \to u ℓ^{+} ℓ^{-}$ transitions are presented. Recent work on polylogarithms is used for the master integrals. For $b \to s ℓ^{+} ℓ^{-}$ transitions, the corrections are most significant for the imaginary parts of the effective Wilson coefficients in the large hadronic recoil range. Analytical results and ready-to-use fitted results for a specific set of parameters are provided.

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Title

Two loop virtual corrections to b → ( d , s ) ℓ + ℓ - and c → u ℓ + ℓ - for arbitrary momentum transfer

Author

de Boer, Stefan¹

¹ Fakultät für Physik, TU Dortmund, Dortmund, Germany

Pages

1-9

Publication year

2017

Publication date

Nov 2017

Publisher

Springer Nature B.V.

ISSN

14346044

e-ISSN

14346052

Source type

Scholarly Journal

Language of publication

English

DOI

https://doi.org/10.1140/epjc/s10052-017-5364-x

ProQuest document ID

2085604736

The European Physical Journal C is a copyright of Springer, (2017). All Rights Reserved., © 2017. This work is published under http://creativecommons.org/licenses/by/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.

Two loop virtual corrections to b → ( d , s ) ℓ + ℓ - and c → u ℓ + ℓ - for arbitrary momentum transfer

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