Muon-Electron Scattering at Next-To-Next-To-Leading Order: The Hadronic Corrections

Fael, Matteo; Passera, M.

doi:10.1103/physrevlett.122.192001

Cited by 48 publications

(61 citation statements)

References 63 publications

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“…been computed recently in refs. [30,31]. Further theoretical progress in the calculation of NNLO corrections and resummation was presented at the MITP topical workshop "The evaluation of the leading hadronic contribution to the muon anomalous magnetic moment ", held in Mainz in February 2018.…”

Section: Jhep02(2019)155mentioning

confidence: 99%

Muon-electron scattering at NLO

Alacevich

Calame

Chiesa

et al. 2019

J. High Energ. Phys.

104

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We consider the process of muon-electron elastic scattering, which has been proposed as an ideal framework to measure the running of the electromagnetic coupling constant at space-like momenta and determine the leading-order hadronic contribution to the muon g−2 (MUonE experiment). We compute the next-to-leading (NLO) contributions due to QED and purely weak corrections and implement them into a fully differential Monte Carlo event generator, which is available for first experimental studies. We show representative phenomenological results of interest for the MUonE experiment and examine in detail the impact of the various sources of radiative corrections under different selection criteria, in order to study the dependence of the NLO contributions on the applied cuts. The study represents the first step towards the realisation of a high-precision Monte Carlo code necessary for data analysis.

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Section: Jhep02(2019)155mentioning

confidence: 99%

Muon-electron scattering at NLO

Alacevich

Calame

Chiesa

et al. 2019

J. High Energ. Phys.

104

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“…Finally, in section 5 we showed that the numerical evaluation of these irreducible diagrams gives results in agreement with the standard dispersive approach and -when the analytic expression of Π lep (q 2 ) is employed -in agreement with analytic two-loop vertex results in QED. A complete calculation of the hadronic corrections to µ-e scattering at NNLO with the dispersive approach will be presented soon [36]. valuable suggestions.…”

Section: Discussionmentioning

confidence: 99%

Hadronic corrections to μ-e scattering at NNLO with space-like data

Fael

2019

J. High Energ. Phys.

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The Standard Model prediction for µ-e scattering at Next-to-Next-to-Leading Order (NNLO) contains non-perturbative QCD contributions given by diagrams with a hadronic vacuum polarization insertion in the photon propagator. By taking advantage of the hyperspherical integration method, we show that the subset of hadronic NNLO corrections where the vacuum polarization appears inside a loop, the irreducible diagrams, can be calculated employing the hadronic vacuum polarization in the space-like region, without making use of the R ratio and time-like data. We present the analytic expressions of the kernels necessary to evaluate numerically the two types of irreducible diagrams: the two-loop vertex and box corrections. As a cross check, we evaluate these corrections numerically and we compare them with the results given by the traditional dispersive approach and with analytic two-loop vertex results in QED.

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“…To reach the target precision these corrections have to be known at a level of 10 ppm as well. The effect of hadronic corrections was recently addressed in [56,57] using two independent methods. At leading order also Z-exchange has to be taken into account.…”

Section: Muon-electron Scattering With M Mmentioning

confidence: 99%

“…Also at NNLO the correction due to hadronic and leptonic VP is included. These contributions are split up according to the classification of [57]. The diagrams where the VP factorises are implemented in em2emAA, em2emAR, and em2emAF.…”

Section: Running M M For Muon-electron Scatteringmentioning

confidence: 99%

QED at NNLO with McMule

et al. 2020

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McMule is a framework for fully differential higher-order QED calculations of scattering and decay processes involving leptons. It keeps finite lepton masses, which regularises collinear singularities. Soft singularities are treated with dimensional regularisation and using FKS^\ellℓ subtraction. We describe the implementation of the framework in Fortran 95, list the processes that are currently implemented, and give instructions on how to run the code. In addition, we present new phenomenological results for muon-electron scattering and lepton-proton scattering, including the dominant NNLO corrections. While the applications presented focus on MUonE, MUSE, and P2, the code can be used for a large number of planned and running experiments.

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Muon-Electron Scattering at Next-To-Next-To-Leading Order: The Hadronic Corrections

Cited by 48 publications

References 63 publications

Muon-electron scattering at NLO

Muon-electron scattering at NLO

Hadronic corrections to μ-e scattering at NNLO with space-like data

QED at NNLO with McMule

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