High-precision $D^0 \to V^+P^-$ - more accurate than $D^0\to P^+P^-$

TL;DR

This paper derives and confirms a high-precision nonlinear U-spin amplitude relation for certain D meson decays, achieving greater accuracy than previous relations and validating it despite experimental uncertainties.

Contribution

It introduces a more accurate U-spin relation for $D^0 o V^+P^-$ decays, extending the theoretical framework and confirming predictions with experimental data.

Findings

U-spin relation holds at order 10^{-4}

Confirmed despite 20% experimental error

Provides insights into U-spin breaking in D decays

Abstract

Recently we derived a nonlinear U-spin amplitude relation for $D^0\to P^+P^-$, $P=\pi, K$, predicted to hold up to fourth order U-spin breaking terms of order $10^{-3}$. Here we study a similar relation for $D^0\to V^+P^-, V =\rho, K^*(892), P = \pi, K$, expected to hold at an even higher accuracy of order $10^{-4}$. We confirm this prediction in spite of a large experimental error of about 20% in the amplitude of $D^0\to K^{*+}\pi^-$. We also comment briefly on U-spin breaking in $D^0\to P^+V^-$.