Two-loop current-current operator contribution to the non-leptonic QCD penguin amplitude

TL;DR

This paper calculates two-loop penguin contractions of current-current operators to estimate NNLO CP asymmetries in penguin-dominated b -> s transitions, advancing precision in theoretical predictions of CP violation.

Contribution

It provides the first estimate of NNLO CP asymmetries in charmless B decays by computing two-loop penguin contractions of Q_{1,2} operators.

Findings

First NNLO estimate of CP asymmetries in b -> s transitions.

Computed two-loop penguin contractions of Q_{1,2} operators.

Enhanced understanding of short-distance contributions in B decays.

Abstract

The computation of direct CP asymmetries in charmless B decays at next-to-next-to-leading order (NNLO) in QCD is of interest to ascertain the short-distance contribution. Here we compute the two-loop penguin contractions of the current-current operators Q_{1,2} and provide a first estimate of NNLO CP asymmetries in penguin-dominated b -> s transitions.