Properties of vector mesons in four pseudoscalars electroproduction

TL;DR

This paper explores the electromagnetic properties of vector mesons, especially their unstable nature, by drawing analogies with the $W$ boson and analyzing four pseudoscalars electroproduction, highlighting potential experimental measurements.

Contribution

It introduces a novel approach to study vector mesons' electromagnetic properties through four pseudoscalars electroproduction, emphasizing gauge invariance and experimental feasibility.

Findings

Analogies between vector mesons and $W$ boson properties.

Restrictions from electromagnetic gauge invariance on vector mesons.

Experimental prospects for measuring magnetic dipole moments of light vector mesons.

Abstract

Vector mesons and the $W$ gauge boson share some common features, such as the spin and a very short lifetime. The electromagnetic properties of the $W$ are linked to its gauge nature and thus a big effort has been devoted to measure them, while accounting for its instability. In this work, we elaborate on how these ideas can be translated to study vector mesons. We focus in the unstable property of such states and the restrictions from electromagnetic gauge invariance, describing the differences and similarities. Then, we describe the four pseudoscalars electroproduction as an analog to the $e^+e^- \to 4 fermions$ process, used to study the electromagnetic properties of the $W$ boson. We point out that the current experimental capabilities are reaching the possibility to measure the magnetic dipole moment of light vector mesons.