Single Cut Integration

TL;DR

This paper introduces an analytic method for evaluating single cuts in one-loop integrands, extending existing double-cut techniques to extract meaningful amplitude information, especially for tadpole coefficient calculations.

Contribution

The paper develops a novel analytic approach for single-cut evaluation in one-loop integrands, expanding the double-cut formalism to improve amplitude computations.

Findings

Provides a new method for single cut evaluation

Extends double-cut formalism to single cuts

Facilitates computation of tadpole coefficients

Abstract

We present an analytic technique for evaluating single cuts for one-loop integrands, where exactly one propagator is taken to be on shell. Our method extends the double-cut integration formalism of one-loop amplitudes to the single-cut case. We argue that single cuts give meaningful information about amplitudes when taken at the integrand level. We discuss applications to the computation of tadpole coefficients.