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 \({\left({a}_{\mu }^{{\text{hvp}}}\right)}^{{\text{SD}}}\) = 68.85(14)stat (42)syst·10−10, 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.
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Acknowledgments
We thank Rainer Sommer for discussions on the cutoff effects of correlators at short distances and Kohtaroh Miura for his contribution to the computation of finite-size effects. Calculations for this project have been performed on the HPC clusters Clover and HIMster-II at Helmholtz Institute Mainz and Mogon-II at Johannes Gutenberg-Universitat (JGU) Mainz, on the HPC systems JUQUEEN and JUWELS and on the GCS Supercomputers HAZELHEN and HAWK at Hochstleistungsrechenzentrum Stuttgart (HLRS). The authors gratefully acknowledge the support of the Gauss Centre for Supercomputing (GCS) and the John von Neumann-Institut fur Computing (NIC) for projects HMZ21, HMZ23 at JSC and project GCS-HQCD at HLRS. This work has been supported by Deutsche Forschungsgemeinschaft (German Research Foundation, DFG) through Project HI 2048/1-2 (Project No. 399400745) and through the Cluster of Excellence “Precision Physics, Fundamental Interactions and Structure of Matter” (PRISMA+ EXC 2118/1), funded within the German Excellence strategy (Project No. 39083149). This project has received funding from the European Union’s Horizon Europe research and innovation programme under the Marie Skłodowska-Curie grant agreement No 101106243. The research of M.C. is funded through the MUR program for young researchers “Rita Levi Montalcini”. We are grateful to our colleagues in the CLS initiative for sharing ensembles.
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Kuberski, S., Cè, M., von Hippel, G. et al. Hadronic vacuum polarization in the muon g − 2: the short-distance contribution from lattice QCD. J. High Energ. Phys. 2024, 172 (2024). https://doi.org/10.1007/JHEP03(2024)172
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DOI: https://doi.org/10.1007/JHEP03(2024)172