Revisiting spin-dependent forces mediated by new bosons: Potentials in the coordinate-space representation for macroscopic- and atomic-scale experiments

Abstract

The exchange of spin-0 or spin-1 bosons between fermions or spin-polarised macroscopic objects gives rise to various spin-dependent potentials. We derive the coordinate-space non-relativistic potentials induced by the exchange of such bosons, including contact terms that can play an important role in atomic-scale phenomena, and correct for errors and omissions in the literature. We summarise the properties of the potentials and their relevance for various types of experiments. These potentials underpin the interpretation of experiments that search for new bosons, including spectroscopy, torsion-pendulum measurements, magnetometry, parity nonconservation and electric dipole moment experiments.

Probing new physics with long-range neutrino interactions: an effective field theory approach

“…Throughout this work however we consider a SM weak vector interaction at one vertex and an arbitrary scalar, vector or tensor-like interaction at the other. These fermion bilinears are therefore not used in this work, but are relevant for axion-mediated longrange potentials [33,38,191]. The products of vector-like fermion bilinears are…”

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