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2021

Vacuum correlators at short distances from lattice QCD

Harris, Tim, Cè, Marco, Meyer, Harvey B. et al.

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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 $T\approx250~\mathrm{MeV}$, with lattice spacings down to $a\approx0.03~\mathrm{fm}$, 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.

Vacuum correlators at short distances from lattice QCD · Around

Built on

“The Chroma software system for lattice QCD”
Robert. Edwards and Balint Joo · 2004
Earlier work this paper cites.
“On cutoff effects in lattice QCD from short to long distances”
Michele Della, Rainer Sommer and Shinji Takeda · 2009
Earlier work this paper cites.
“Lattice QCD with open boundary conditions and twisted-mass reweighting”
Martin L\"uscher and Stefan Schaefer · 2012
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