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The $Q_{1,2} – Q_7$ interference contributions to b → sγ at $O(α^2_s )$ for the physical value of $m_c$


Czaja, M; Czakon, M; Huber, T; Misiak, M; Niggetiedt, M; Rehman, A; Schönwald, K; Steinhauser, M (2023). The $Q_{1,2} – Q_7$ interference contributions to b → sγ at $O(α^2_s )$ for the physical value of $m_c$. European Physical Journal C - Particles and Fields, 83(12):1108.

Abstract

The $$\bar{B}\rightarrow X_s\gamma $$ branching ratio is currently measured with around $$5\%$$ accuracy. Further improvement is expected from Belle II. To match such a precision on the theoretical side, evaluation of $${\mathcal O}(\alpha _{\mathrm s}^2)$$ corrections to the partonic decay $$b \rightarrow X_s^\textrm{part}\gamma $$ are necessary, which includes the $$b \rightarrow s \gamma $$, $$b \rightarrow s g\gamma $$, $$b \rightarrow s gg\gamma $$, $$b \rightarrow sq\bar{q}\gamma $$ decay channels. Here, we evaluate the unrenormalized contribution to $$b \rightarrow s \gamma $$ that stems from the interference of the photonic dipole operator $$Q_7$$ and the current–current operators $$Q_1$$ and $$Q_2$$. Our results, obtained in the cut propagator approach at the 4-loop level, agree with those found in parallel by Fael et al. who have applied the amplitude approach at the 3-loop level. Partial results for the same quantities recently determined by Greub et al. agree with our findings, too.

Abstract

The $$\bar{B}\rightarrow X_s\gamma $$ branching ratio is currently measured with around $$5\%$$ accuracy. Further improvement is expected from Belle II. To match such a precision on the theoretical side, evaluation of $${\mathcal O}(\alpha _{\mathrm s}^2)$$ corrections to the partonic decay $$b \rightarrow X_s^\textrm{part}\gamma $$ are necessary, which includes the $$b \rightarrow s \gamma $$, $$b \rightarrow s g\gamma $$, $$b \rightarrow s gg\gamma $$, $$b \rightarrow sq\bar{q}\gamma $$ decay channels. Here, we evaluate the unrenormalized contribution to $$b \rightarrow s \gamma $$ that stems from the interference of the photonic dipole operator $$Q_7$$ and the current–current operators $$Q_1$$ and $$Q_2$$. Our results, obtained in the cut propagator approach at the 4-loop level, agree with those found in parallel by Fael et al. who have applied the amplitude approach at the 3-loop level. Partial results for the same quantities recently determined by Greub et al. agree with our findings, too.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Engineering (miscellaneous)
Physical Sciences > Physics and Astronomy (miscellaneous)
Uncontrolled Keywords:Physics and Astronomy (miscellaneous), Engineering (miscellaneous)
Language:English
Date:6 December 2023
Deposited On:05 Jan 2024 11:12
Last Modified:30 Jun 2024 01:36
Publisher:Springer
ISSN:1434-6044
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1140/epjc/s10052-023-12270-8
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)