Meson electro-/photo-production from QCD

TL;DR

This paper reports the first lattice QCD calculation of an electroweak decay of a hadronic resonance, specifically the $ ho$ meson to $ ho o ext{nucleon} o ext{pion}$ transition, providing insights into meson electro- and photo-production.

Contribution

It introduces a novel lattice QCD methodology to directly compute electroweak decay form factors of hadronic resonances, advancing the understanding of meson production mechanisms.

Findings

First direct determination of a hadronic resonance decay from QCD

Observation of $ ho$ resonance enhancement in transition amplitude

Extraction of the $ ho o ext{pion} ext{gamma}^ imes$ form factor

Abstract

I present the calculation of the $\pi^+\gamma^\star\to\pi^+\pi^0$ transition amplitude from quantum chromodynamics performed by the Hadron Spectrum Collaboration. The amplitude is determined for a range of values of the photon virtuality and the final state energy. One observes a clear dynamical enhancement due to the presence of the $\rho$ resonance. By fitting the transition amplitude and analytically continuing it onto the $\rho$-pole, the $\rho\to\pi\gamma^\star$ form factor is obtained. This exploratory calculation, performed using lattice quantum chromodynamics, constitutes the very first determination of an electroweak decay of a hadronic resonance directly from the fundamental theory of quarks and gluons. In this talk, I highlight some of the necessary steps that made this calculation possible, placing emphasis on recently developed formalism. Finally, I discuss the status and outlook of the field for the study of $N\gamma^\star\to N^\star\to N\pi$ transitions.