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arXiv · 2212.02525

Soft-collinear gravity with fermionic matter

Martin Beneke·Patrick Hager·Dominik Schwienbacher
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Abstract

We extend the effective field theory for soft and collinear gravitons to interactions with fermionic matter fields. The full theory features a local Lorentz symmetry in addition to the usual diffeomorphisms, which requires incorporating the former into the soft-collinear gravity framework. The local Lorentz symmetry gives rise to Wilson lines in the effective theory that strongly resemble those in SCET for non-abelian gauge interactions, whereas the diffeomorphisms can be treated in the same fashion as in the case of scalar matter. The basic structure of soft-collinear gravity, which features a homogeneous soft background field, giving rise to a covariant derivative and multipole-expanded covariant Riemann-tensor interactions, remains unaltered and generalises in a natural way to fermion fields.

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Martin Beneke, Patrick Hager, Dominik Schwienbacher. 2022-12-05. Soft-collinear gravity with fermionic matter. https://doi.org/10.1007/jhep03(2023)076

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