Abstract

We study the non-leptonic two-body decays of D mesons decaying into one pseudoscalar meson (P) and one vector meson (V) in the factorization-asisted topological-amplitude approach. In this approach, the decay amplitudes are factorized into two parts, the short-distance contribution (Wilson coefficients) and the long-distance contribution (hadronic matrix elements). We predict the branching ratios of D → PV decays using a global fit with the non-perturbative parameters. Our results agree well with the experimental data. We also predict the direct CP asymmetries by combining short-distance dynamics associated with penguin operators and long-distance hadronic matrix elements determined by branching ratios. The large asymmetries in D+ → π+ρ0 and [Formula: see text] may be measurable in the LHCb and future Belle II experiments.

Highlights

  • IntroductionThe measured values are much larger than the naive estimation in the Standard Model (SM), ΔACP ∼ 10−4, which receives dual

  • In 2011, the LHCb experiment measured the difference between the time integrated CP asymmetries in D0 → K+K− and D0 → π+π− decays, ΔACP = [−0.82±0.21(stat)±0.11(syst)]%.1 The measured values are much larger than the naive estimation in the Standard Model (SM), ΔACP ∼ 10−4, which receives dualThis is an Open Access article published by World Scientific Publishing Company

  • To estimate the penguin amplitudes precisely, a theoretical framework named the factorization-assisted topological-amplitude (FAT) approach was proposed in Ref. 10

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Summary

Introduction

The measured values are much larger than the naive estimation in the Standard Model (SM), ΔACP ∼ 10−4, which receives dual. This is an Open Access article published by World Scientific Publishing Company. To estimate the penguin amplitudes precisely, a theoretical framework named the factorization-assisted topological-amplitude (FAT) approach was proposed in Ref. 10. It parameterizes the tree amplitudes based on the factorization of shortdistance and long-distance dynamics into Wilson coefficients and hadronic matrix elements.The introduced parameters are obtained after the fit of parameterized branching ratios to data.

Parametrization of tree amplitudes
Numerical results
Summary
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