Combined Relativistic and static analysis for all Delta B=2 operators

TL;DR

This paper combines QCD and HQET approaches at NLO to analyze matrix elements of Delta B=2 operators, crucial for understanding B meson mixing and potential new physics effects.

Contribution

It provides a comprehensive NLO matching of all Delta B=2 operators between QCD and HQET, including two-loop anomalous dimensions, enhancing precision in B physics calculations.

Findings

Matrix elements relevant for B-ar B mixing calculated.

Improved theoretical framework for supersymmetric Delta B=2 transitions.

Enhanced accuracy in B meson width difference predictions.

Abstract

We analyse matrix elements of Delta B=2 operators by combining QCD results with the ones obtained in the static limit of HQET. The matching of all the QCD operators to HQET is made at NLO order. To do that we have to include the anomalous dimension matrix up to two loops, both in QCD and HQET, and the one loop matching for all the Delta B=2 operators. The matrix elements of these operators are relevant for the prediction of the B-\bar B mixing, B_s meson width difference and supersymmetric effects in Delta B=2 transitions.