Addendum: Towards next-to-next-to-leading-log accuracy for the width difference in the ${\mathbf{B}}_{\mathbf{s}}-{\bar{\mathbf{B}}}_{\mathbf{s}}$ system: fermionic contributions to order $({\mathbf{m}}_{\mathbf{c}}/{\mathbf{m}}_{\mathbf{b}}{)}^0$ and $({\mathbf{m}}_{\mathbf{c}}/{\mathbf{m}}_{\mathbf{b}}{)}^1$

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 $\Delta B=2$ Wilson coefficients of the $B$-$\bar{B}$ 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.

arXiv comment5 pages

References in corpus (3)

• Towards next-to-next-to-leading-log accuracy for the width difference in the $B_s-{\bar{B}}_s$ system: fermionic contributions to order $(m_c/m_b{)}^0$ and $(m_c/m_b{)}^1$
• Penguin contribution to width difference and CP asymmetry in $B_q$-${\bar{B}}_q$ mixing at order ${\alpha }_s^2{N}_f$
• Phase space analysis for three and four massive particles in final states

Cited by in corpus (2)

• The width difference in the $B-\bar{B}$ system at next-to-next-to-leading order of QCD
• Complete next-to-next-to-leading order QCD corrections to the decay matrix in $\mathbf{B}$-meson mixing at leading power