Radiative $\phi$ decays with derivative interactions

TL;DR

This paper develops a formalism for derivative interactions in radiative phi decays involving virtual scalar mesons, successfully reproducing observed line shapes without kaon loops.

Contribution

It introduces a one-loop level formalism for derivative couplings in phi decays, providing an alternative explanation for line shapes.

Findings

Reproduces measured line shapes of phi decays

Shows derivative interactions can replace kaon loop effects

Provides a new theoretical framework for decay analysis

Abstract

We study the line shapes of radiative $\phi$-decays involving virtual $f_{0}(980)$ and $a_{0}(980)$ mesons which decay, via derivative couplings, to $\pi^{0}\pi^{0}$ and $\pi^{0}\eta$ respectively. After developing the formalism for derivative interactions at one-loop level, we show that they can reproduce the measured peaked line shapes of $\phi$-decays without including kaon loops.