Power-enhanced leading-logarithmic QED corrections to B q → μ + μ −

Martin Beneke (Physik Department T31, Technische Universität München, James-Franck-Straße 1, Garching, D-85748, Germany) ; Christoph Bobeth (Physik Department T31, Technische Universität München, James-Franck-Straße 1, Garching, D-85748, Germany) ; Robert Szafron (Physik Department T31, Technische Universität München, James-Franck-Straße 1, Garching, D-85748, Germany)

We provide a systematic treatment of the previously discovered power- enhanced QED corrections to the leptonic decay B q → μ + μ − (q = d, s) in the frame- work of soft-collinear effective theory (SCET). Employing two-step matching on SCETI and SCETII, and the respective renormalization group equations, we sum the leading- logarithmic QED corrections and the mixed QED-QCD corrections to all orders in the couplings for the matrix element of the semileptonic weak effective operator Q 9. We pro- pose a treatment of the B-meson decay constant and light-cone distribution amplitude in the presence of process-specific QED corrections. Finally we include ultrasoft photon radiation and provide updated values of the non-radiative and radiative branching fractions of B q → μ + μ − decay that include the double-logarithmic QED and QCD corrections.

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      "title": "Power-enhanced leading-logarithmic QED corrections to B  q  \u2192 \u03bc + \u03bc  \u2212"
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      "source": "Springer", 
      "value": "We provide a systematic treatment of the previously discovered power- enhanced QED corrections to the leptonic decay B  q  \u2192 \u03bc + \u03bc  \u2212  (q = d, s) in the frame- work of soft-collinear effective theory (SCET). Employing two-step matching on SCETI and SCETII, and the respective renormalization group equations, we sum the leading- logarithmic QED corrections and the mixed QED-QCD corrections to all orders in the couplings for the matrix element of the semileptonic weak effective operator Q 9. We pro- pose a treatment of the B-meson decay constant and light-cone distribution amplitude in the presence of process-specific QED corrections. Finally we include ultrasoft photon radiation and provide updated values of the non-radiative and radiative branching fractions of B  q  \u2192 \u03bc + \u03bc  \u2212  decay that include the double-logarithmic QED and QCD corrections."
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Published on:
22 October 2019
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2019 (2019)
Issue 10
Pages 1-64
DOI:
https://doi.org/10.1007/JHEP10(2019)232
arXiv:
1908.07011
Copyrights:
The Author(s)
Licence:
CC-BY-4

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