Casimir-Polder interactions with massive photons: implications for BSM physics

TL;DR

This paper derives how massive photons modify Casimir-Polder interactions between neutral systems, exploring implications for beyond Standard Model physics and providing corrections for various theoretical models.

Contribution

It introduces a compact expression for massive photon-mediated Casimir-Polder interactions and analyzes their implications for BSM physics scenarios.

Findings

Derived a general formula for massive photon Casimir-Polder interactions.

Reduced to standard Casimir-Polder in the massless photon limit.

Computed corrections for extra dimension and scale-invariant models.

Abstract

We present the derivation of the Casimir-Polder interactions mediated by a massive photon between two neutral systems described in terms of their atomic polarizability tensors. We find a compact expression for the leading term at large distances between the two systems. Our result reduces, in the mass-less photon limit, to the standard Casimir-Polder. We discuss implications of our findings with respect to recent scenarios of physics beyond the standard model such as universal extra dimensions, Randall-Sundrum and scale-invariant models. For each model we compute the correction to the Casimir-Polder interaction in terms of the free parameters.