Abstract:Precision tests of the Standard Theory require theoretical predictions taking into account higher-order quantum corrections. Among these vacuum polarisation plays a predominant role. Vacuum polarisation originates from creation and annihilation of virtual particle-antiparticle states. Leptonic vacuum polarisation can be computed from quantum electrodynamics. Hadronic vacuum polarisation cannot because of the non-perturbative nature of QCD at low energy. The problem is remedied by establishing dispersion relati… Show more
“…The anomalous magnetic moment of the muon a µ = (g − 2) µ /2 represents a formidable test of the Standard Model (SM) of particle physics [1,2]. There is a persisting tension between the measured value, as provided by the BNL-E821 experiment with an accuracy of 0.54 ppm [3], and the SM prediction, which presently exceeds the 3σ level [4][5][6][7]. This discrepancy could be ascribed to some uncontrolled experimental or theoretical systematics or could signal the presence of New Physics beyond the SM.…”
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.
“…The anomalous magnetic moment of the muon a µ = (g − 2) µ /2 represents a formidable test of the Standard Model (SM) of particle physics [1,2]. There is a persisting tension between the measured value, as provided by the BNL-E821 experiment with an accuracy of 0.54 ppm [3], and the SM prediction, which presently exceeds the 3σ level [4][5][6][7]. This discrepancy could be ascribed to some uncontrolled experimental or theoretical systematics or could signal the presence of New Physics beyond the SM.…”
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.
“…5 of [1]). [7], DHMZ10 [41], DHMZ16 [22,44], HLMNT11 [43] and DHea09 [42]. The DHMZ10 (e + e − +τ) result is not including the ρ − γ mixing correction, i.e.…”
Section: Nlo and Nnlo Hvp Effectsmentioning
confidence: 97%
“…Similarly, the important region between 1.2 GeV to 2.4 GeV has been improved a lot by the BaBar exclusive channel measurements in the ISR mode [19][20][21][22]. Recent data sets collected are: [23,24], and e Above 2 GeV fairly accurate BES-II data [28] are available.…”
Abstract. I present a status report of the hadronic vacuum polarization effects for the muon g−2, to be considered as an update of [1]. The update concerns recent new inclusive R measurements from KEDR in the energy range 1.84 to 3.72 GeV. For the leading order contributions I find a 1 Overview: hadronic effects in g − 2.This review of the hadronic vacuum polarization (HVP) contributions to the muon g − 2 is to be considered as a complement to the theory reviews by Marc Knecht and Massimiliano Procura which focus on the hadronic light-by-light (HLbL) part and the reviews on hadronic cross sections by Graziano Venanzoni, Simon Eidelman and Achim Denig in these Proceedings.The present experimental muon g − 2 result from Brookhaven (BNL) a [2] soon will be improved by the new muon g − 2 experiments at Fermilab and J-PARC. The Fermilab experiment will be able to reduce the error by a factor 4, the J-PARC experiment will provide an important cross check with a very different technique [3]. It means that the new muon g − 2 experiments are expected to establish a possible new physics contribution at the level ∆a µ = a exp µ − a the µ = 6.7 σ provided theory remains as it is today and the central value does not move significantly. If we achieve a reduction of the hadronic uncertainty by factor 2 we would arrive at ∆a µ = 11.6 σ. That's what we hope to achieve. , which is representing a +0.90 ±0.25 ppm effect.
“…3, we discuss an alternative evaluation by including τ data and taking into account the known isospin-breaking corrections, followed by a summary in Sec. 4 The LO HVP contribution to a had μ is calculated using the dispersion relation [7] as Figure 2. Cross section for the process e + e − → hadrons versus centre-of-mass energy √ s. The blue band represents the combined experimental measurements with their uncertainty.…”
Section: Introductionmentioning
confidence: 99%
“…Cross section for the process e + e − → hadrons versus centre-of-mass energy √ s. The blue band represents the combined experimental measurements with their uncertainty. The red line shows the perturbative QCD prediction, the data points show the inclusive measurements from the BES experiment [9] (figure taken from [4]). …”
Abstract. Recent calculations of the hadronic vacuum polarisation contribution are reviewed. The focus is put on the leading-order contribution to the muon magnetic anomaly involving e + e − annihilation cross section data as input to a dispersion relation approach. Alternative calculation including tau data is also discussed. The τ data are corrected for various isospin-breaking sources which are explicitly shown source by source.
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