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Towards $\overline{B}\to {X}_s\gamma$ at the NNLO in QCD without interpolation in m$_{c}$

Misiak, Miko-laj; Rehman, Abdur 1; Steinhauser, Matthias 1
1 Institut für Theoretische Teilchenphysik (TTP), Karlsruher Institut für Technologie (KIT)


Strengthening constraints on new physics from the $\overline{B}\to {X}_s\gamma$ branching ratio requires improving accuracy in the measurements and the Standard Model predictions. To match the expected Belle-II accuracy, Next-to-Next-to-Leading Order (NNLO) QCD corrections must be calculated without the so-far employed interpolation in the charm- quark mass m$_{c}$. In the process of evaluating such corrections at the physical value of mc, we have finalized the part coming from diagrams with closed fermion loops on the gluon lines that contribute to the interference of the current-current and photonic dipole operators. We confirm several published results for corrections of this type, and supplement them with a previously uncalculated piece. Taking into account the recently improved estimates of non-perturbative contributions, we find ℬ$_{sγ}$ = (3.40±0.17)×10$^{-4}$ and R$_{γ}$≡B$_{(s+d)γ}$/B$_{cℓ\overline{v}}$ = (3.35 ± 0.16) × 10$^{-3}$ for E$_{γ}$> 1.6 GeV in the decaying meson rest frame.

Verlagsausgabe §
DOI: 10.5445/IR/1000122716
Veröffentlicht am 17.08.2020
DOI: 10.1007/JHEP06(2020)175
Zitationen: 75
Zitationen: 78
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 06.2020
Sprache Englisch
Identifikator ISSN: 1029-8479
KITopen-ID: 1000122716
Erschienen in Journal of high energy physics
Verlag Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Heft 6
Seiten Art.Nr. 175
Vorab online veröffentlicht am 29.06.2020
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