Disperon QED

TL;DR

Disperon QED is a novel method combining dispersion relations, automation tools, and effective field theory to handle loop process data inputs in Monte Carlo simulations, demonstrated on $ee\to\pi\pi$.

Contribution

It introduces a general approach for incorporating complex loop data into Monte Carlo codes, applicable to various processes in particle physics.

Findings

Successfully applied to $ee\to\pi\pi$ process.

Handles hadronic vacuum polarisation insertions in two-loop calculations.

Emphasizes the method's applicability to more complex processes.

Abstract

We present disperon QED, a method to deal with data input in loop processes in Monte Carlo codes. It relies on dispersion relations, automated tools such as OpenLoops, effective field theory methods and a threshold subtraction. We motivate this method and apply it to the process $ee\to\pi\pi$ in McMule to deal with hadronic vacuum polarisation insertions in two-loop contributions as well as the vector form factor of the pion within the form-factor scalar QED approximation. The generality of this method for more complicated processes is emphasised.