Towards a Next-to-Next-to-Leading Order analysis of matching in $B^0$-${\bar{B}}^0$ mixing

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 ${\alpha }_s^2$.

arXiv comment17 pages, 4 figures; v2: 3 refs added, corresponds to the published version

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Cited by in corpus (9)

• $\Delta M_s$ theory precision confronts flavour anomalies
• Neutral B-meson mixing from full lattice QCD at the physical point
• Bs mixing observables and Vtd/Vts from sum rules
• $B^0$-${\bar{B}}^0$ mixing: matching to HQET at NNLO
• Dispersive analysis of neutral meson mixing
• The heavy quark expansion for lifetimes: Towards the QCD corrections to power suppressed terms
• Probing New Physics in $b\to d$ Transitions
• Master Integrals for Inclusive Weak Decays of Heavy Flavours at Next-to-Leading Order
• Flavour Physics from Present to Future Colliders