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The Q_(1,2)-Q₇ interference contributions to b -> s gamma at O(alpha_s²) for the physical value of m_c

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arxiv 2309.14707 v2 pith:3L53LOH6 submitted 2023-09-26 hep-ph

The Q_(1,2)-Q₇ interference contributions to b -> s gamma at O(alpha_s²) for the physical value of m_c

classification hep-ph
keywords gammaagreealphaapproachdecayinterferencelevelloop
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The B -> 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 O(alpha_s^2) corrections to the partonic decay b -> X_s^part gamma are necessary, which includes the b -> s gamma, b -> s g gamma, b -> s g g gamma, b -> s qbar q gamma decay channels. Here, we evaluate the unrenormalized contribution to b -> 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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  1. The photon-energy spectrum in $B\to X_s\gamma$ to N$^3$LO: light-fermion and large-$N_{\rm c}$ corrections

    hep-ph 2026-03 unverdicted novelty 8.0

    N3LO calculation of the B to Xs gamma photon spectrum including complete light-fermion corrections, two massive fermion loops, and large-Nc terms, with improved results in kinetic and MSR mass schemes.