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Soft-collinear gravity with fermionic matter

A bstract 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....

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Bibliographic Details
Published in:The journal of high energy physics 2023-03, Vol.2023 (3), p.76-27, Article 76
Main Authors: Beneke, Martin, Hager, Patrick, Schwienbacher, Dominik
Format: Article
Language:English
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2023)076