Chiral theory of $\rho$-meson gravitational form factors

TL;DR

This paper develops a chiral effective field theory framework to compute the gravitational form factors of the rho-meson, including loop corrections, and analyzes their implications for energy and force distributions.

Contribution

It provides the first calculation of rho-meson gravitational form factors within a chiral effective field theory including loop effects.

Findings

Form factors calculated up to next-to-leading order.

Zero-momentum transfer and slope parameters derived.

Long-range energy and force distributions analyzed.

Abstract

The low-energy chiral effective field theory of vector mesons and Goldstone bosons in external gravitational field is considered. The energy-momentum tensor is obtained and the gravitational form factors of the $\rho$-meson are calculated up to next-to-leading order in the chiral expansion. This amounts to considering tree-level and one-loop order diagrams. The chiral expansion of the form factors at zero momentum transfer as well as of the slope parameters is worked out. Also, the long-range behaviour of the energy and internal force distributions is obtained and analysed.