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Towards a Next-to-Next-to-Leading Order analysis of matching in $B^0$-$\bar{B}^0$ mixing
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abstract
We compute perturbative corrections to matching coefficients of QCD to HQET for the matrix element of the $\Delta B=2$ operator that determines the mass difference in $B^0-\bar{B}^0$ system of states. This involves the technical point of choosing the operator basis in HQET, separating physical operators from evanescent ones. We obtain an analytical result for some of the two-loop corrections at order $\alpha_s^2$.
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Constraints on New Physics from $B$ mesons
A 2019 review of B meson and kaon physics anomalies, summarizing the evidence for lepton flavor universality violation and tensions in mixing and CP violation, and assessing new physics explanations.
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