Planar two-loop integrals for $\mathbf{μe}$ scattering in QED with finite lepton masses

Heller, Matthias

doi:10.48550/arxiv.2105.08046

Cited by 5 publications

(6 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A computation with full mass dependence is therefore envisaged. Analytic results for a subset of the planar master integrals have recently become available [111]. A numerical approach seems, however, more promising in this case.…”

Section: Mcmule Framework Accordinglymentioning

confidence: 99%

Muon-electron scattering at NNLO

Broggio

Engel

Ferroglia

et al. 2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We present the first calculation of the complete set of NNLO QED corrections for muon-electron scattering. This includes leptonic, non-perturbative hadronic, and photonic contributions. All fermionic corrections as well as the photonic subset that only corrects the electron or the muon line are included with full mass dependence. The genuine four-point two-loop topologies are computed as an expansion in the small electron mass, taking into account both, logarithmically enhanced as well as constant mass effects using massification. A fast and stable implementation of the numerically delicate real-virtual contribution is achieved by combining OpenLoops with next-to-soft stabilisation. All matrix elements are implemented in the McMule framework, which allows for the fully-differential calculation of any infrared-safe observable. This calculation is to be viewed in the context of the MUonE experiment requiring a background prediction at the level of 10 ppm. Our results thus represent a major milestone towards this ambitious precision goal.

show abstract

Section: Mcmule Framework Accordinglymentioning

confidence: 99%

Muon-electron scattering at NNLO

Broggio

Engel

Ferroglia

et al. 2023

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…This will allow to extend the SDE approach to cases where the letters L a in (2.15) assume a general algebraic form. Constructing analytic expressions in terms of GPLs beyond weight 2 by applying a more general procedure following the ideas of [39,40] is also possible, but it requires a significant amount of resources and it might well result to a proliferation of GPLs. A more practical and direct approach, introducing a one-dimensional integral representation will be presented in detail in section 4.…”

Section: Jhep05(2022)033mentioning

confidence: 99%

Two-loop non-planar hexa-box integrals with one massive leg

Kardos

Papadopoulos

Smirnov

et al. 2022

J. High Energ. Phys.

View full text Add to dashboard Cite

Based on the Simplified Differential Equations approach, we present results for the two-loop non-planar hexa-box families of master integrals. We introduce a new approach to obtain the boundary terms and establish a one-dimensional integral representation of the master integrals in terms of Generalised Polylogarithms, when the alphabet contains non-factorisable square roots. The results are relevant to the study of NNLO QCD corrections for W, Z and Higgs-boson production in association with two hadronic jets.

show abstract

“…Hence, being able to rationalise simultaneously all square roots is a sufficient condition that the result can be expressed in terms of multiple polylogarithms, but not a necessary condition. If a set of square roots cannot be rationalised simultaneously, other methods like symbol calculus [49,50] or introducing additional variables [51][52][53][54] may express the Feynman integrals in terms of multiple polylogarithms. Multiple square roots appear not only in the Feynman integrals associated to the H-graph, but also in Feynman integrals associated to other processes.…”

Section: 3mentioning

confidence: 99%

Feynman integrals for binary systems of black holes

Kreer

Runkel

Weinzierl

2022

SciPost Phys. Proc.

View full text Add to dashboard Cite

The initial phase of the inspiral process of a binary black-hole system can be described by perturbation theory. At the third post-Minkowskian order a two-loop double box graph, known as H-graph, contributes. In this talk we report how all master integrals of the H-graph with equal masses can be expressed up to weight four in terms of multiple polylogarithms. We also discuss techniques for the unequal mass case. The essential complication (and the focus of the talk) is the occurrence of several square roots.

show abstract

Planar two-loop integrals for $\mathbf{μe}$ scattering in QED with finite lepton masses

Cited by 5 publications

References 21 publications

Muon-electron scattering at NNLO

Muon-electron scattering at NNLO

Two-loop non-planar hexa-box integrals with one massive leg

Feynman integrals for binary systems of black holes

Contact Info

Product

Resources

About