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Three-loop bto sγ vertex with current-current operators

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arxiv 2309.14706 v2 pith:4W6QWXHB submitted 2023-09-26 hep-ph

Three-loop bto sγ vertex with current-current operators

classification hep-ph
keywords current-currentoperatorsresultsgammaorderthree-loopvertexallow
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute three-loop vertex corrections to $b\to s\gamma$ induced by current-current operators. The results are presented as expansions in $m_c/m_b$ with numerical coefficients which allow to cover all relevant values for the heavy quark masses in different renormalization schemes. Moreover we provide for the first time analytic results for the next-to-leading order contribution. Our results present an important building block to the next-to-next-to-leading order interference contributions of the current-current operators $Q_1$ and $Q_2$ with the electric dipole operator $Q_7$.

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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.