An alternative evaluation of the leading-order hadronic contribution to the muon g-2 with MUonE

We propose an alternative method to extract the leading-order hadronic contribution to the muon g-2, \(a_{\mu}^\text{HLO}\), with the MUonE experiment. In contrast to the traditional method based on the integral of the hadronic contribution to the running of the effective fine-structure constant \(\...

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Bibliographic Details
Published in:arXiv.org 2023-11
Main Authors: Ignatov, Fedor, Riccardo Nunzio Pilato, Teubner, Thomas, Venanzoni, Graziano
Format: Article
Language:English
Subjects:
Fine structure
Hadrons
Kinematics
Mathematical analysis
Momentum transfer
Muons
Parameterization
Polynomials
Quantum chromodynamics
Online Access:Get full text
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Summary:We propose an alternative method to extract the leading-order hadronic contribution to the muon g-2, \(a_{\mu}^\text{HLO}\), with the MUonE experiment. In contrast to the traditional method based on the integral of the hadronic contribution to the running of the effective fine-structure constant \(\Delta\alpha_{had}\) in the space-like region, our approach relies on the computation of the derivatives of \(\Delta\alpha_{had}(t)\) at zero squared momentum transfer \(t\). We show that this approach allows to extract \(\sim 99\%\) of the total value of \(a_{\mu}^\text{HLO}\) from the MUonE data, while the remaining \(\sim 1\%\) can be computed combining perturbative QCD and data on \(e^+e^-\) annihilation to hadrons. This leads to a competitive evaluation of \(a_{\mu}^\text{HLO}\) which is robust against the parameterization used to model \(\Delta\alpha_{had}(t)\) in the MUonE kinematic region, thanks to the analyticity properties of \(\Delta\alpha_{had}(t)\), which can be expanded as a polynomial at \(t\sim 0\).
ISSN:2331-8422