Flavor Symmetry, K^0-\bar{K}^0 Mixing and New Physics Effects on CP Violation in D^{\pm} and D^{\pm}_s Decays

TL;DR

This paper investigates how flavor symmetry, K^0-ar{K}^0 mixing, and potential new physics influence CP violation in D and D_s meson decays, providing relations between decay rates and exploring new physics effects.

Contribution

It introduces relations between D and D_s decay branching ratios based on SU(3) symmetry and examines how new physics could alter CP asymmetries in these decays.

Findings

Standard model predicts a CP asymmetry of 3.3×10^{-3} from K^0-ar{K}^0 mixing.

New physics could cancel or significantly enhance CP asymmetries.

Comparing CP asymmetries in different decay modes can reveal new physics effects.

Abstract

Flavor symmetry and symmetry breaking, K^0-\bar{K}^0 mixing and possible effects of new physics on CP violation in weak decay modes D^{\pm} \to K_{S,L} + X^{\pm}, (K_{S,L} + \pi^0)_{K^*} + X^{\pm} (for X =\pi, \rho, a_1) and D^{\pm}_s \to K_{S,L} + X^{\pm}_s, (K_{S,L} +\pi^0)_{K^*} + X^{\pm}_s (for X_s = K, K^*) are analyzed. Relations between D^{\pm} and D^{\pm}_s decay branching ratios are obtained from the d \Leftrightarrow s subgroup of SU(3) and dominant symmetry-breaking mechanisms are investigated. A CP asymmetry of magnitude 3.3\times 10^{-3} is shown to result in the standard model from K^0-\bar{K}^0 mixing in the final-state. New physics affecting the doubly Cabibbo-suppressed channels might either cancel this asymmetry or enhance it up to the percent level. A comparison between the CP asymmetries in D^{\pm}_{(s)} \to K_{S} X^{\pm}_{(s)} and D^{\pm}_{(s)} \to K_L X^{\pm}_{(s)} can pin down effects of new physics.