Abstract
We study soft theorems at one loop in planar N=4 super Yang-Mills theory through finite order in the infrared regulator and to subleading order in the soft parameter {\delta}. In particular, we derive a universal constraint from dual superconformal symmetry, which we use to bootstrap subleading log {\delta} behaviour. Moreover, we determine the complete infrared-finite subleading soft contribution of n-point MHV amplitudes using momentum twistors. Finally, we compute the subleading log {\delta} behaviour of one-loop NMHV ratio functions at six and seven points, finding that universality holds within but not between helicity sectors.
Highlights
Scattering amplitudes of massless particles in quantum field theory have infrared divergences, which are known to cancel in inclusive cross-sections [1,2,3]
We study soft theorems at one loop in planar N = 4 super Yang-Mills theory through finite order in the infrared regulator and to subleading order in the soft parameter δ
We derive a universal constraint from dual superconformal symmetry, which we use to bootstrap subleading log δ behaviour
Summary
Scattering amplitudes of massless particles in quantum field theory have infrared divergences, which are known to cancel in inclusive cross-sections [1,2,3]. In [11] a simple universal form for the subleading and sub-subleading contributions for soft gravitons at tree level was discovered, which generalises to Yang-Mills theories [12]. These results are known to hold in arbitrary dimensions [13,14,15] courtesy of the CHY formalism [16]. In this paper we evaluate the first complete n-point one-loop correction to subleading soft behaviour in a non-abelian gauge theory, namely planar N = 4 super Yang-Mills (SYM).
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