Topics in gravity SCET: the diff Wilson lines and reparametrization invariance

Abstract

Two topics in soft collinear effective theory (SCET) for gravitational interactions are explored. First, the collinear Wilson lines---necessary building blocks for maintaining multiple copies of diffeomorphism invariance in gravity SCET---are extended to all orders in the SCET expansion parameter $\lambda$, where it has only been known to $O(\lambda )$ in the literature. Second, implications of reparametrization invariance (RPI) for the structure of gravity SCET lagrangians are studied. The utility of RPI is illustrated by an explicit example in which $O({\lambda }^2)$ hard interactions of a collinear graviton are completely predicted by RPI from its $O(\lambda )$ hard interactions. It is also pointed out that the multiple diffeomorphism invariances and RPI together require certain relations among $O(\lambda )$ terms, thereby reducing the number of $O(\lambda )$ terms that need to be fixed by matching onto the full theory in the first place.

arXiv commentMinor additions included, accepted for publication in Phys. ReV. D

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Cited by in corpus (2)

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