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Topics in soft collinear effective theory for gravity: The diffeomorphism invariant Wilson lines and reparametrization invariance

Topics in soft collinear effective theory for gravity: The diffeomorphism invariant Wilson lines and reparametrization invariance

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 $\ensuremath{\lambda}$, where it has only been known to $O(\ensuremath{\lambda})$ in the …