Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$

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Main Authors: Di Luzio, Luca, Keshavarzi, Alexander, Masiero, Antonio, Paradisi, Paride
Format: Preprint
Published: 2024
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author Di Luzio, Luca
Keshavarzi, Alexander
Masiero, Antonio
Paradisi, Paride
author_facet Di Luzio, Luca
Keshavarzi, Alexander
Masiero, Antonio
Paradisi, Paride
contents The hadronic vacuum polarization (HVP) contributions to the muon $g$$-$$2$ are the crucial quantity to resolve whether new physics is present or not in the comparison between the Standard Model (SM) prediction and experimental measurements at Fermilab. They are commonly and historically determined via dispersion relations using a vast catalogue of experimentally measured, low-energy $e^+e^-\to \,\rm{hadrons}$ cross section data as input. These dispersive estimates result in a SM prediction that exhibits a muon $g$$-$$2$ discrepancy of more than $5σ$ when compared to experiment. However, recent lattice QCD evaluations of the HVP and a new hadronic cross section measurement from the CMD-3 experiment favor a no-new-physics scenario and, therefore, exhibit a common tension with the previous $e^+e^-\to \,\rm{hadrons}$ data. This study explores the current and future implications of these two scenarios on other observables that are also sensitive to the HVP contributions in the hope that they may provide independent tests of the current tensions observed in the muon $g$$-$$2$.
format Preprint
id arxiv_https___arxiv_org_abs_2408_01123
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$
Di Luzio, Luca
Keshavarzi, Alexander
Masiero, Antonio
Paradisi, Paride
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
The hadronic vacuum polarization (HVP) contributions to the muon $g$$-$$2$ are the crucial quantity to resolve whether new physics is present or not in the comparison between the Standard Model (SM) prediction and experimental measurements at Fermilab. They are commonly and historically determined via dispersion relations using a vast catalogue of experimentally measured, low-energy $e^+e^-\to \,\rm{hadrons}$ cross section data as input. These dispersive estimates result in a SM prediction that exhibits a muon $g$$-$$2$ discrepancy of more than $5σ$ when compared to experiment. However, recent lattice QCD evaluations of the HVP and a new hadronic cross section measurement from the CMD-3 experiment favor a no-new-physics scenario and, therefore, exhibit a common tension with the previous $e^+e^-\to \,\rm{hadrons}$ data. This study explores the current and future implications of these two scenarios on other observables that are also sensitive to the HVP contributions in the hope that they may provide independent tests of the current tensions observed in the muon $g$$-$$2$.
title Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
url https://arxiv.org/abs/2408.01123