A Method to Measure cos(2beta) Using Time-Dependent Dalitz Plot Analysis of B0 -> D_CP pi+ pi-

TL;DR

This paper proposes a new method using time-dependent Dalitz plot analysis of B0 decays to measure cos(2beta), offering potentially more precise results than existing techniques, with strong applicability at B factories and LHCb.

Contribution

It introduces a novel approach to measure cos(2beta) via time-dependent Dalitz analysis of B0 -> D pi+ pi- decays, enhancing measurement precision.

Findings

Method can measure cos(2beta) with competitive or better precision.

sin(2beta) can be measured more accurately than current methods.

Potential for application at B factories and LHCb.

Abstract

We present a feasibility study of a method to measure the cosine of twice the CKM Unitarity Triangle angle beta using a time-dependent Dalitz plot analysis of B0 -> D pi+ pi- decays, where the neutral D meson is reconstructed in decays to CP eigenstates. We show that this method can be used at the B factories to make a measurement of cos(2beta) that is competitive with, or more precise than, other techniques using different quark-level transitions, while sin(2beta) can be measured to an accuracy more precise than any existing measurement using b -> c ubar d transitions. Furthermore, this technique has great potential to be employed at LHCb.