Hadronic vacuum polarization using gradient flow

2020/07/31 by Robert V. Harlander, Fabian Lange, Tobias Neumann
Physics and Astronomy · #Hadron #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Operator (biology) #Operator product expansion #Particle physics theoretical and experimental studies #Polarization (electrochemistry) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Vacuum polarization #Vacuum state #hep-lat #hep-ph

paper · pdf · doi:10.1007/jhep08(2020)109

published as JHEP 08 (2020) 109 · 30 pages, 1 ancillary file. v2: Added minor clarifications and references; fixed some typos, most notably in Eq. (4.12)

openalex created_date 2020/07/10 · openalex publication_date 2020/08/01 · arxiv created 2021/08/25 · arxiv updated 2021/08/26 · openalex updated_date 2026/08/05

Abstract

A bstract The gradient-flow operator product expansion for QCD current correlators including operators up to mass dimension four is calculated through NNLO. This paves an alternative way for efficient lattice evaluations of hadronic vacuum polarization functions. In addition, flow-time evolution equations for flowed composite operators are derived. Their explicit form for the non-trivial dimension-four operators of QCD is given through order α_s³. <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>α</mml:mi> <mml:mi>s</mml:mi> <mml:mn>3</mml:mn> </mml:msubsup> <mml:mo>.</mml:mo> </mml:math>

Citations

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