• Open Access

Finite-Volume Effects in (g2)μHVP,LO

Maxwell T. Hansen and Agostino Patella
Phys. Rev. Lett. 123, 172001 – Published 22 October 2019

Abstract

An analytic expression is derived for the leading-order finite-volume effects arising in lattice QCD calculations of the hadronic-vacuum-polarization contribution to the muon’s magnetic moment aμHVP,LO(g2)μHVP,LO/2. For calculations in a finite spatial volume with periodicity L, aμHVP,LO(L) admits a transseries expansion with exponentially suppressed L scaling. Using a Hamiltonian approach, we show that the leading finite-volume correction scales as exp[MπL] with a prefactor given by the (infinite-volume) Compton amplitude of the pion, integrated with the muon-mass-dependent kernel. To give a complete quantitative expression, we decompose the Compton amplitude into the spacelike pion form factor Fπ(Q2) and a multiparticle piece. We determine the latter through next-to leading order in chiral perturbation theory and find that it contributes negligibly and through a universal term that depends only on the pion decay constant, with all additional low-energy constants dropping out of the integral.

  • Figure
  • Received 3 May 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.172001

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
  1. Properties
Particles & Fields

Authors & Affiliations

Maxwell T. Hansen1,* and Agostino Patella2,†

  • 1Theoretical Physics Department, CERN, 1211 Geneva 23, Switzerland
  • 2Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, D-12489 Berlin, Germany

  • *maxwell.hansen@cern.ch
  • agostino.patella@physik.hu-berlin.de

Article Text

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Issue

Vol. 123, Iss. 17 — 25 October 2019

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