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Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in e^+ e^- collisions
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Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in e^+ e^- collisions
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We present the results of Phase I of an ongoing review of Monte Carlo tools relevant for low-energy hadronic cross sections. This includes a detailed comparison of Monte Carlo codes for electron-positron scattering into a muon pair, pion pair, and electron pair, for scan and radiative-return experiments. After discussing the various approaches that are used and effects that are included, we show differential cross sections obtained with AfkQed, BabaYaga@NLO, KKMC, MCGPJ, McMule, Phokhara, and Sherpa, for scenarios that are inspired by experiments providing input for the dispersive evaluation of the hadronic vacuum polarisation.
Forward citations
Cited by 12 Pith papers
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Tensor decomposition of $e^+e^-\to\pi^+\pi^-\gamma$ to higher orders in the dimensional regulator
First beyond-NLO tensor decomposition and higher-order analytic one-loop amplitudes for e+e- to pi+pi-gamma, paired with a fast numerical five-point integral evaluator.
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Radiative return at NLOPS accuracy
First implementation of NLO corrections matched to a parton shower for the radiative processes e+e−→π+π−γ and e+e−→μ+μ−γ, including ISR, FSR and their interference.
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Next-to-leading order FsQED corrections to radiative pion pair production
FsQED NLO structure-dependent corrections to radiative pion-pair production are at the permille (mass) to percent (angular/AFB) level, agree with GVMD, and are now in BabaYaga@NLO.
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Hadronic vacuum polarization in hydrogen-like atoms and ions amid the interplay of recoil and finite-size effects
The hVP contribution to the HFS in muonic hydrogen is 2.153(11) µeV, deviating from previous evaluations by ~10x the anticipated experimental precision, due to corrected recoil and finite-size interplay.
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First look at the evaluation of two-loop Feynman integrals for radiative return processes
Planar two-loop four-point master integrals for massive radiative-return QED, including elliptic and nested-root sectors, are reduced to polynomial-in-ε differential equations that evaluate stably in the physical region.
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Radiative correction to the charge asymmetry in $e^{+}e^{-}\to\mu^{+}\mu^{-}$ process
Calculates NNLO QED corrections to the C-odd differential cross section in e+e−→μ+μ−, completing the analytical NNLO calculation together with a cited earlier paper.
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Muon $g$$-$2: correlation-induced uncertainties in precision data combinations
A general framework quantifies correlation-induced uncertainties in precision data combinations and applies it to e+e- to hadrons cross sections for muon g-2 HVP determinations.
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Disperon QED
Disperon QED is a new technique that feeds experimental data into higher-order QED loop calculations in Monte Carlo generators via dispersion relations and threshold subtraction.
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PrecisionSM: an annotated database for low-energy $e^+e^-$ hadronic cross sections
PrecisionSM is a new annotated database of low-energy e+e- hadronic cross sections for use in data-driven calculations of the muon anomalous magnetic moment a_mu.
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Combined Analysis of Lattice QCD and Experimental Data on the Pion Transition Form Factor
Feasibility study of combined LQCD and experimental data on pion TFF via modified z-expansion fit reports up to 3x uncertainty reduction in singly-virtual limit but only 1.5x improvement for the pion-pole g-2 contribution.
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The anomalous magnetic moment of the muon in the Standard Model: an update
The updated SM prediction for the muon anomalous magnetic moment is 116592033(62)×10^{-11}, showing no tension with the experimental average of 38(63)×10^{-11}.
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Muon lifetime and Fermi constant: an update
Updated Δq = (−4 384 678 ± 34)×10^{-9} reduces theory error on the muon lifetime by an order of magnitude and gives G_F = 1.166 378 59(59)×10^{-5} GeV^{-2}.
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