Charm mixing as input for model-independent determinations of the CKM phase gamma

TL;DR

This paper proposes using charm mixing data from B factories and LHCb to improve the precision of key parameters in charm decays, which are crucial for accurately determining the CKM phase gamma in B meson decays.

Contribution

It introduces a novel method of constraining charm decay parameters using charm mixing data, reducing reliance on quantum-correlated measurements at charm threshold.

Findings

Significant improvement in precision of coherence factor and strong phase difference with existing data.

Demonstration of method's effectiveness for D0->Kpipipi decay.

Potential for more accurate CKM gamma measurements.

Abstract

The coherence factor and average strong phase difference of D0 and D0bar decay amplitudes to the same final state play an important role in the precision determination of the CKM parameter gamma using B- -> DK- and related decay modes. So far, this important input from the charm sector could only be obtained from measurements based on quantum-correlated DDbar pairs produced at the charm threshold. We propose to constrain these parameters using charm mixing, using the large charm samples available at the B factories and LHCb. We demonstrate for the example of D0->Kpipipi that a substantial improvement in the precision of the coherence factor and average strong phase difference can be obtained with this method, using existing data.