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author Bazavov, Alexei
Clarke, David A.
Davies, Christine
DeTar, Carleton
El-Khadra, Aida X.
Gámiz, Elvira
Gottlieb, Steven
Grebe, Anthony V.
Hostetler, Leon
Jay, William I.
Jeong, Hwancheol
Kronfeld, Andreas S.
Lahert, Shaun
Laiho, Jack
Lepage, G. Peter
Lynch, Michael
Lytle, Andrew T.
McNeile, Craig
Neil, Ethan T.
Peterson, Curtis T.
Simone, James N.
Sitison, Jacob W.
Van de Water, Ruth S.
Vaquero, Alejandro
author_facet Bazavov, Alexei
Clarke, David A.
Davies, Christine
DeTar, Carleton
El-Khadra, Aida X.
Gámiz, Elvira
Gottlieb, Steven
Grebe, Anthony V.
Hostetler, Leon
Jay, William I.
Jeong, Hwancheol
Kronfeld, Andreas S.
Lahert, Shaun
Laiho, Jack
Lepage, G. Peter
Lynch, Michael
Lytle, Andrew T.
McNeile, Craig
Neil, Ethan T.
Peterson, Curtis T.
Simone, James N.
Sitison, Jacob W.
Van de Water, Ruth S.
Vaquero, Alejandro
contents We present complete results for the hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment $a_μ$ in the short- and intermediate-distance window regions, which account for roughly 10% and 35% of the total HVP contribution to $a_μ$, respectively. In particular, we perform lattice-QCD calculations for the isospin-symmetric connected and disconnected contributions, as well as corrections due to strong isospin-breaking. For the short-distance window observables, we investigate the so-called log-enhancement effects as well as the significant oscillations associated with staggered quarks in this region. For the dominant, isospin-symmetric light-quark connected contribution, we obtain $a^{ll,\,{\mathrm{SD}}}_μ(\mathrm{conn.}) = 48.139(11)_{\mathrm{stat}}(91)_{\mathrm{syst}}[92]_{\mathrm{total}} \times 10^{-10}$ and $a^{ll,\,{\mathrm{W}}}_μ(\mathrm{conn.}) = 206.90(14)_{\mathrm{stat}}(61)_{\mathrm{syst}}[63]_{\mathrm{total}} \times 10^{-10}$. We use Bayesian model averaging to fully estimate the covariance matrix between the individual contributions. Our determinations of the complete window contributions are $a^{\mathrm{SD}}_μ = 69.05(1)_{\mathrm{stat}}(21)_{\mathrm{syst}}[21]_{\mathrm{total}} \times 10^{-10}$ and $a^{\mathrm{W}}_μ = 236.45(17)_{\mathrm{stat}}(83)_{\mathrm{syst}}[85]_{\mathrm{total}} \times 10^{-10}$. This work is part of our ongoing effort to compute all contributions to HVP with an overall uncertainty at the few permille level.
format Preprint
id arxiv_https___arxiv_org_abs_2411_09656
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hadronic vacuum polarization for the muon $g-2$ from lattice QCD: Complete short and intermediate windows
Bazavov, Alexei
Clarke, David A.
Davies, Christine
DeTar, Carleton
El-Khadra, Aida X.
Gámiz, Elvira
Gottlieb, Steven
Grebe, Anthony V.
Hostetler, Leon
Jay, William I.
Jeong, Hwancheol
Kronfeld, Andreas S.
Lahert, Shaun
Laiho, Jack
Lepage, G. Peter
Lynch, Michael
Lytle, Andrew T.
McNeile, Craig
Neil, Ethan T.
Peterson, Curtis T.
Simone, James N.
Sitison, Jacob W.
Van de Water, Ruth S.
Vaquero, Alejandro
High Energy Physics - Lattice
High Energy Physics - Experiment
High Energy Physics - Phenomenology
We present complete results for the hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment $a_μ$ in the short- and intermediate-distance window regions, which account for roughly 10% and 35% of the total HVP contribution to $a_μ$, respectively. In particular, we perform lattice-QCD calculations for the isospin-symmetric connected and disconnected contributions, as well as corrections due to strong isospin-breaking. For the short-distance window observables, we investigate the so-called log-enhancement effects as well as the significant oscillations associated with staggered quarks in this region. For the dominant, isospin-symmetric light-quark connected contribution, we obtain $a^{ll,\,{\mathrm{SD}}}_μ(\mathrm{conn.}) = 48.139(11)_{\mathrm{stat}}(91)_{\mathrm{syst}}[92]_{\mathrm{total}} \times 10^{-10}$ and $a^{ll,\,{\mathrm{W}}}_μ(\mathrm{conn.}) = 206.90(14)_{\mathrm{stat}}(61)_{\mathrm{syst}}[63]_{\mathrm{total}} \times 10^{-10}$. We use Bayesian model averaging to fully estimate the covariance matrix between the individual contributions. Our determinations of the complete window contributions are $a^{\mathrm{SD}}_μ = 69.05(1)_{\mathrm{stat}}(21)_{\mathrm{syst}}[21]_{\mathrm{total}} \times 10^{-10}$ and $a^{\mathrm{W}}_μ = 236.45(17)_{\mathrm{stat}}(83)_{\mathrm{syst}}[85]_{\mathrm{total}} \times 10^{-10}$. This work is part of our ongoing effort to compute all contributions to HVP with an overall uncertainty at the few permille level.
title Hadronic vacuum polarization for the muon $g-2$ from lattice QCD: Complete short and intermediate windows
topic High Energy Physics - Lattice
High Energy Physics - Experiment
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2411.09656