Theory Group Special Seminar, 22 February 2018

Gilly Elor, University of Oregon

Soft-Collinear Supersymmetry

abstract

Soft-Collinear Effective Theory (SCET) is a framework for modeling the infrared structure of theories whose long distance behavior is dominated by soft and collinear divergences. I will demonstrate that SCET can be made compatible with supersymmetry (SUSY), and discuss the novel formalisms required to expose this congruence. Explicitly, the effective Lagrangian for N=1 SUSY Yang-Mills is shown to be a complete description for the infrared of this model. I will then introduce "collinear superspace" -- a slice of superspace derived from integrating out half the fermionic coordinates, which allows one to write the "SUSY-SCET" theory in terms of superfields. As a byproduct bootstrapping up to the full theory yields the first algorithmic approach for determining the SUSY Yang-Mills on-shell superspace action. Alternatively, Lagrangians in collinear superspace can be constructed from the bottom-up by using a new set of effective field theory rules for building superspace operators out of physical degrees of freedom. This work paves the way towards discovering the effective theory for the collinear limit of extended SUSY Yang-Mills, supergravity, and more.