Non-leptonic B-decays at two loops in QCD Factorization

TL;DR

This paper presents a detailed two-loop calculation of penguin amplitudes in non-leptonic B decays within QCD factorization, advancing theoretical precision in understanding these processes.

Contribution

It provides the first comprehensive two-loop computation of penguin amplitudes, including the matching to SCET and evaluation of master integrals, enhancing the accuracy of theoretical predictions.

Findings

Preliminary two-loop correction sizes are estimated.

Methodology for two-scale two-loop calculations is developed.

Matching procedures from QCD to SCET are detailed.

Abstract

We report on the calculation of the two-loop penguin amplitudes in non-leptonic B decays in the framework of QCD factorization. We discuss the computation of this genuine two-loop, two-scale problem and provide details on the matching from QCD onto SCET, the evaluation of the master integrals, and the convolution of the hard scattering kernels with the light-cone distribution amplitude of the light meson. Preliminary results on the size of the two-loop correction are given.