Addendum: Towards next-to-next-to-leading-log accuracy for the width difference in the Bs−Bˉs\mathbf{B_s-\bar{B}_s} system: fermionic contributions to order (mc/mb)0\mathbf{(m_c/m_b)^0} and (mc/mb)1\mathbf{(m_c/m_b)^1}

preprint2022arXivOpen access

Abstract

We calculate the three-loop master integrals of Ref. [1] [arXiv:1709.02160] in analytic form. This allows us to present the fermionic contributions to the ΔB=2ΔB=2 Wilson coefficients of the BB-Bˉ\bar B decay matrix in next-to-next-to-leading order of QCD with full analytic dependence on the mass of the charm quark in the fermionic loops.

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