PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Vacuum correlators at short distances from lattice QCD
T. Harris*, M. Cè, H. B. Meyer, A. Toniato and C. Török
Full text: pdf
Pre-published on: May 16, 2022
Published on:
Abstract
We propose a method to help control cutoff effects in the short-distance
contribution to integrated correlation functions, such as the hadronic vacuum
polarization (HVP), using the corresponding screening correlators computed at finite
temperature.
The strategy is investigated with Wilson fermions at leading order, which
reveals a logarithmically-enhanced lattice artifact in the short-distance
contribution, whose coefficient is determined at this order.
We then perform a numerical study with $N_\mathrm{f}=2$ O($a$)-improved Wilson
fermions and a temperature $T\approx250$~MeV, with lattice spacings down to
$a\approx0.03$~fm, which suggests good control can be achieved on the short-distance
contribution to the HVP and the Adler function at
large virtuality.
Finally, we put forward a scheme to compute the complete HVP
function at arbitrarily large virtualities using a step-scaling
in the temperature.
DOI: https://doi.org/10.22323/1.396.0572
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