A bstract In this paper, we study loop corrections to the recently proposed new soft theorems
of Cachazo and Strominger [1], for both gravity and gauge theory amplitudes. We first review
the proof of its tree-level validity based on BCFW recursion relations, which also establishes
an infinite series of universals soft functions for MHV amplitudes, and a generalization to
supersymmetric cases. For loop corrections, we focus on infrared finite, rational amplitudes
at one loop, and apply recursion relations with boundary or double-pole contributions. For …

In this paper, we study loop corrections to the recently proposed new soft theorems of
Cachazo-Strominger, for both gravity and gauge theory amplitudes. We first review the proof
of its tree-level validity based on BCFW recursion relations, which also establishes an
infinite series of universals soft functions for MHV amplitudes, and a generalization to
supersymmetric cases. For loop corrections, we focus on infrared finite, rational amplitudes
at one loop, and apply recursion relations with boundary or double-pole contributions. For …