Next-to-Leading Order QCD Corrections to $\Delta F=2$ effective Hamiltonians

Abstract

The most general QCD next-to-leading anomalous-dimension matrix of all possible four-fermion, dimension-six $\Delta F=2$ operators is computed. The results of this calculation can be used in many phenomenological applications, among which the most important are those related to theoretical predictions of $K^0-{\bar{K}}^0$ and $B^0-{\bar{B}}^0$ mixing in several extension of the Standard Model (Supersymmetry, left-right symmetric, multi-Higgs models, etc.), to estimates of the $B_s^0$--${\bar{B}}_s^0$ width difference, $\Delta {\Gamma }_{B_s}$, and to the calculation of the $O(1/m_b^3)$ corrections for inclusive b-hadron decay rates.

Comments: 33 pages, 3 figures