Hadronic vacuum polarization in the muon $g-2$: The short-distance contribution from lattice QCD
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910304713048064 |
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| author | Kuberski, Simon Cè, Marco von Hippel, Georg Meyer, Harvey B. Ottnad, Konstantin Risch, Andreas Wittig, Hartmut |
| author_facet | Kuberski, Simon Cè, Marco von Hippel, Georg Meyer, Harvey B. Ottnad, Konstantin Risch, Andreas Wittig, Hartmut |
| contents | 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 $(a_μ^{\rm hvp})^{\rm SD}=68.85(14)_{\rm stat}\,(42)_{\rm syst}\cdot10^{-10}$, 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_11895 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hadronic vacuum polarization in the muon $g-2$: The short-distance contribution from lattice QCD Kuberski, Simon Cè, Marco von Hippel, Georg Meyer, Harvey B. Ottnad, Konstantin Risch, Andreas Wittig, Hartmut High Energy Physics - Lattice High Energy Physics - Phenomenology 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 $(a_μ^{\rm hvp})^{\rm SD}=68.85(14)_{\rm stat}\,(42)_{\rm syst}\cdot10^{-10}$, 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. |
| title | Hadronic vacuum polarization in the muon $g-2$: The short-distance contribution from lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2401.11895 |