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$B$ meson mixing at NNLO: technical aspects

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arxiv 2405.14698 v1 pith:WJLX2BQN submitted 2024-05-23 hep-ph

classification hep-ph
keywords aspectsintegralsmixingtechnicalbottomcalculationcharmcomputation
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We provide details to several technical aspects which are important for the calculation of next-to-next-to-leading order corrections to the mixing of neutral $B$ mesons. This includes the computation of the master integrals for finite charm and bottom quark masses, traces over products of up to 22 $\gamma$ matrices and tensor integrals with up to rank 11.

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  1. Current-current operator contribution to the decay matrix in $B$-meson mixing at next-to-next-to-leading order of QCD

    hep-ph 2025-05 conditional novelty 6.0 of 10

    The full charm-mass dependence of the three-loop current-current contribution to the B-meson decay matrix is computed, yielding Delta_Gamma_s = (0.077 +/- 0.016) ps^-1 with the leading-term perturbative error reduced ...

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