Lorentz and CPT Violation in Scalar-Mediated Potentials

TL;DR

This paper investigates how Lorentz and CPT violation in effective field theories alter scalar-mediated Yukawa potentials, affecting low-energy fermion scattering through novel momentum, spin, and background tensor interactions.

Contribution

It introduces new forms of Lorentz violation that specifically modify scalar-spinor Yukawa interactions and their impact on nonrelativistic potentials.

Findings

Modified Yukawa potentials involve new momentum and spin combinations.

Lorentz-violating backgrounds alter fermion scattering processes.

Potential implications for tests of fundamental symmetries.

Abstract

In Lorentz- and CPT-violating effective field theories involving scalar and spinor fields, there exist forms of Lorentz violation that modify only the scalar-spinor Yukawa interaction vertices. These affect low-energy fermion and antifermion scattering processes through modifications to the nonrelativistic Yukawa potentials. The modified potentials involve novel combinations of momentum, spin, and Lorentz-violating background tensors.