Hadronic vacuum polarization in the muon $g-2$: The short-distance contribution from lattice QCD

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Abstract
<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>We present results for the short-distance window observable of the hadronic vacuum polarization contribution to the muon <jats:italic>g</jats:italic> – 2, computed via the time-momentum representation (TMR) in lattice QCD. A key novelty of our calculation is the reduction of discretization effects by a suitable subtraction applied to the TMR kernel function, which cancels the leading <jats:inline-formula><jats:tex-math>$${x}_{0}^{4}$$</jats:tex-math></jats:inline-formula>-behaviour at short distances. To compensate for the subtraction, one must substitute a term that can be reliably computed in perturbative QCD. We apply this strategy to our data for the vector current collected on ensembles generated with 2 + 1 flavours of O(<jats:italic>a</jats:italic>)-improved Wilson quarks at six values of the lattice spacing and pion masses in the range 130 – 420 MeV. Our estimate at the physical point contains a full error budget and reads <jats:inline-formula><jats:tex-math>$${\left({a}_{\mu }^{{\text{hvp}}}\right)}^{{\text{SD}}}$$</jats:tex-math></jats:inline-formula> = 68<jats:italic>.</jats:italic>85(14)<jats:sub>stat</jats:sub> (42)<jats:sub>syst</jats:sub>·10<jats:sup><jats:italic>−</jats:italic>10</jats:sup>, which corresponds to a relative precision of 0.7%. We discuss the implications of our result for the observed tensions between lattice and data-driven evaluations of the hadronic vacuum polarization.</jats:p>
Autoren
  • Simon Kuberski
  • Marco Cè
  • Georg von Hippel
  • Harvey B Meyer
  • Konstantin Ottnad
  • Andreas Risch
  • Hartmut Wittig
DOI
10.1007/jhep03(2024)172
eISSN
1029-8479
Ausgabe der Veröffentlichung
3
Zeitschrift
Journal of High Energy Physics
Sprache
en
Artikelnummer
172
Online publication date
2024
Status
Published online
Herausgeber
Springer Science and Business Media LLC
Herausgeber URL
http://dx.doi.org/10.1007/jhep03(2024)172
Datum der Datenerfassung
2024
Titel
Hadronic vacuum polarization in the muon g − 2: the short-distance contribution from lattice QCD
Ausgabe der Zeitschrift
2024

Datenquelle: Crossref

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Author's licence
InCopyright
Autoren
  • Simon Kuberski
  • Marco Cè
  • Georg von Hippel
  • Harvey B Meyer
  • Konstantin Ottnad
  • Andreas Risch
  • Hartmut Wittig
Hosting institution
Universitätsbibliothek Mainz
Sammlungen
  • JGU-Publikationen
Resource version
Published version
DOI
10.1007/JHEP03(2024)172
File(s) embargoed
false
Open access
true
ISSN
1029-8479
Zeitschrift
Journal of high energy physics
Schlüsselwörter
  • 530 Physik
  • 530 Physics
Sprache
eng
Notes
37 pages, 10 figures, 9 tables
Open access status
Open Access
Paginierung
172
Datum der Veröffentlichung
2024
Public URL
https://openscience.ub.uni-mainz.de/handle/20.500.12030/10275
Herausgeber
Springer
Datum der Datenerfassung
2024
Datum, an dem der Datensatz öffentlich gemacht wurde
2024
Zugang
Public
Titel
Hadronic vacuum polarization in the muon muon g − 2 : the short-distance contribution from lattice QCD
Ausgabe der Zeitschrift
2024

Files

hadronic_vacuum_polarization_-20240401192027607.pdf

Datenquelle: OPENSCIENCE.UB

Abstract
We present results for the short-distance window observable of the hadronic vacuum polarization contribution to the muon $g-2$, computed via the time-momentum representation (TMR) in lattice QCD. A key novelty of our calculation is the reduction of discretization effects by a suitable subtraction applied to the TMR kernel function, which cancels the leading $x_0^4$-behaviour at short distances. To compensate for the subtraction, one must substitute a term that can be reliably computed in perturbative QCD. We apply this strategy to our data for the vector current collected on ensembles generated with $2+1$ flavours of O($a$)-improved Wilson quarks at six values of the lattice spacing and pion masses in the range $130-420\,$MeV. Our estimate at the physical point contains a full error budget and reads $(a_\mu^{\rm hvp})^{\rm SD}=68.85(14)_{\rm stat}\,(42)_{\rm syst}\cdot10^{-10}$, which corresponds to a relative precision of 0.7\%. We discuss the implications of our result for the observed tensions between lattice and data-driven evaluations of the hadronic vacuum polarization.
Autoren
  • Simon Kuberski
  • Marco Cè
  • Georg von Hippel
  • Harvey B Meyer
  • Konstantin Ottnad
  • Andreas Risch
  • Hartmut Wittig
Autoren-URL
http://arxiv.org/abs/2401.11895v1
Schlüsselwörter
  • hep-lat
  • hep-lat
  • hep-ph
Notes
37 pages, 10 figures, 9 tables
Datum der Veröffentlichung
2024
Datum der Datenerfassung
2024
Datum, an dem der Datensatz öffentlich gemacht wurde
2024
Titel
Hadronic vacuum polarization in the muon $g-2$: The short-distance contribution from lattice QCD

Files

2401.11895v1.pdf

Datenquelle: arXiv

Autoren
  • Simon Kuberski
  • Marco Cè
  • Georg von Hippel
  • Harvey B Meyer
  • Konstantin Ottnad
  • Andreas Risch
  • Hartmut Wittig
Autoren-URL
http://arxiv.org/abs/2401.11895v1
DOI
10.1007/JHEP03(2024)172
Datum der Veröffentlichung
2024
Herausgeber URL
https://link.springer.com/article/10.1007/JHEP03(2024)172?utm_source=rct_congratemailt&utm_medium=email&utm_campaign=oa_20240401&utm_content=10.1007/JHEP03(2024)172
Datum der Datenerfassung
2024
Titel
Hadronic vacuum polarization in the muon $g-2$: The short-distance contribution from lattice QCD

Datenquelle: Manual

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