Disperon QED

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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>e</mml:mi> <mml:mi>e</mml:mi> <mml:mo>→</mml:mo> <mml:mi>π</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:math> 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.

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Publication Details

Journal
SciPost Physics
Published
2026-04-17
DOI
https://doi.org/10.21468/scipostphys.20.4.116
Primary Topic
Particle physics theoretical and experimental studies
Type
article
Field-Weighted Citation Impact
0.00

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article

Disperon QED

Sophie Kollatzsch, Adrian Signer, Yizhou Fang, Max Zoller et al.
SciPost Physics
Particle physics theoretical and experimental studies
article

Disperon QED

Sophie Kollatzsch, Adrian Signer, Yizhou Fang, Max Zoller, Yannick Ulrich, Marco Rocco
article en

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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>e</mml:mi> <mml:mi>e</mml:mi> <mml:mo>→</mml:mo> <mml:mi>π</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:math> 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.

SciPost PhysicsVol. 20(4)
University of Liverpool (GB), University of Zurich (CH), Paul Scherrer Institute (CH), Istituto Nazionale di Fisica Nucleare, Sezione di Torino (IT), University of Turin (IT)
National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Openalex Percentile: Top 7%
Particle physics theoretical and experimental studies
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Disperon QED — Sophie Kollatzsch, Adrian Signer, et al. · SciPost Physics (2026) | TGRS Research Map | TGRS