Symmetry-Breaking Effects on Form Factors and Observables in $B \to K_0^*(1430)\mu^+\mu^-$ Decay

TL;DR

This paper analyzes symmetry-breaking effects on form factors in the decay $B o K_0^*(1430)\mu^+\mu^-$, computing corrections and their impact on observables like branching ratios and lepton polarizations.

Contribution

It systematically incorporates perturbative QCD corrections into form factor parametrization and assesses their effects on decay observables.

Findings

Perturbative corrections cause about 3% shifts in branching ratio.

Normal lepton polarization asymmetry is similarly affected by corrections.

Deviations from predictions could signal New Physics.

Abstract

In the heavy-quark and large-energy limits, symmetry relations reduce the number of independent form factors governing heavy-to-light $B$-meson decays. Exploiting these relations, the form factors can be parametrized while systematically incorporating symmetry-breaking corrections from perturbative QCD. Using vertex renormalization together with light-cone distribution amplitudes, we compute the vertex and hard-spectator contributions for the $B \to K_0^*(1430)$ transition. We then analyze the impact of these form factors on physical observables, including the branching ratio and lepton polarization asymmetries $(P_L, P_N)$, in $B \to K_0^*(1430)\mu^+\mu^-$. Our results indicate that perturbative corrections induce modest shifts of $\sim 3\%$ in both the branching ratio and the normal lepton polarization asymmetry. Consequently, any significant deviation observed experimentally from these predictions would provide a clear signal of potential New Physics effects.