Gradient flow renormalization: from lattice QCD to the precision frontier

ORAL

Abstract

Gradient flow is a continuous smearing operation that can be interpreted as a real-space Wilsonian renormalization group transformation. As such, gradient flow can be used to predict the non-perturbative running of the QCD gauge coupling and quark masses using techniques from lattice quantum field theory. I report on recent efforts from the Fermilab Lattice and MILC collaborations targeting a sub-percent determination of the strong coupling constant at the pole mass of the Z boson from lattice QCD simulations using gradient flow. I close off with a discussion of parallel efforts targeting MS-bar quark masses at 2 GeV using similar techniques.

*This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, Scientific Discovery through Advanced Computing (SciDAC) program.

Presenters

  • Curtis T Peterson

    • Michigan State University

Authors

  • Curtis T Peterson

    • Michigan State University
  • Alexei Bazavov

    • Michigan State University
  • Yash Mandlecha

    • Michigan State University
  • Mingwei Dai

    • University of Illinois Urbana-Champaign
  • Akhil Chauhan

    • University of Illinois Urbana-Champaign
  • Aida X El-Khadra

    • University of Illinois Urbana-Champaign
    • University of Illinois at Urbana-Champaign
  • Leon Hostetler

    • Indiana University
  • Steven Gottlieb

    • Indiana University
    • Indiana University Bloomington
  • Anna Hasenfratz

    • University of Colorado Boulder
  • Ethan T Neil

    • University of Colorado Boulder
    • University of Colorado, Boulder
  • Andreas Kronfeld

    • Fermi National Accelerator Laboratory
    • Fermi National Accelerator Laboratory (Fermilab)
  • James N Simone

    • Fermi National Accelerator Laboratory
  • Carleton DeTar

    • University of Utah