Vector-Vector Scattering on the Lattice
Fernando Romero-L\'opez, Carsten Urbach, Akaki Rusetsky

TL;DR
This paper extends the Lüscher formalism to analyze the scattering of two vector particles with spin on the lattice, applying it to Scalar QED in the Higgs phase where gauge bosons gain mass.
Contribution
It introduces a formalism for vector-vector scattering with spin on the lattice, expanding the applicability of Lüscher's method to new particle interactions.
Findings
Extended Lüscher formalism to include spin interactions.
Application to Scalar QED in the Higgs phase.
Framework for analyzing massive gauge boson scattering.
Abstract
In this work we present an extension of the L\"uscher formalism to include the interaction of particles with spin, focusing on the scattering of two vector particles. The derived formalism will be applied to Scalar QED in the Higgs Phase, where the U(1) gauge boson acquires mass.
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