skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Using infinite-volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment

Abstract

In our previous work, the connected and leading disconnected hadronic light-by-light contributions to the muon anomalous magnetic moment (g — 2) have been computed using lattice QCD ensembles corresponding to physical pion mass generated by the RBC/UKQCD Collaboration. However, the calculation is expected to suffer from a significant finite-volume error that scales like 1/L 2 where L is the spatial size of the lattice. In this paper, we demonstrate that this problem is cured by treating the muon and photons in infinite-volume, continuum QED, resulting in a weighting function that is precomputed and saved with affordable cost and sufficient accuracy. We present numerical results for the case when the quark loop is replaced by a muon loop, finding the expected exponential approach to the infinite volume limit and consistency with the known analytic result. Here, we have implemented an improved weighting function which reduces both discretization and finite-volume effects arising from the hadronic part of the amplitude.

Authors:
 [1];  [2];  [3];  [4];  [4];  [4];  [4]
  1. Univ. of Connecticut, Storrs, CT (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Columbia Univ., New York, NY (United States)
  3. Nagoya Univ., Nagoya (Japan)
  4. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1408711
Alternate Identifier(s):
OSTI ID: 1375827
Report Number(s):
BNL-114451-2017-JA
Journal ID: ISSN 2470-0010; PRVDAQ; KA2041012; TRN: US1703307
Grant/Contract Number:  
SC0012704; AC02-06CH11357; FG02-92ER40716; SC0011941
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; g-2; muon; quark; lattice; QCD; magnetic; hadronic

Citation Formats

Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, Jung, Chulwoo, and Lehner, Christoph. Using infinite-volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.034515.
Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, Jung, Chulwoo, & Lehner, Christoph. Using infinite-volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment. United States. doi:10.1103/PhysRevD.96.034515.
Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, Jung, Chulwoo, and Lehner, Christoph. Tue . "Using infinite-volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment". United States. doi:10.1103/PhysRevD.96.034515. https://www.osti.gov/servlets/purl/1408711.
@article{osti_1408711,
title = {Using infinite-volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment},
author = {Blum, Thomas and Christ, Norman and Hayakawa, Masashi and Izubuchi, Taku and Jin, Luchang and Jung, Chulwoo and Lehner, Christoph},
abstractNote = {In our previous work, the connected and leading disconnected hadronic light-by-light contributions to the muon anomalous magnetic moment (g — 2) have been computed using lattice QCD ensembles corresponding to physical pion mass generated by the RBC/UKQCD Collaboration. However, the calculation is expected to suffer from a significant finite-volume error that scales like 1/L2 where L is the spatial size of the lattice. In this paper, we demonstrate that this problem is cured by treating the muon and photons in infinite-volume, continuum QED, resulting in a weighting function that is precomputed and saved with affordable cost and sufficient accuracy. We present numerical results for the case when the quark loop is replaced by a muon loop, finding the expected exponential approach to the infinite volume limit and consistency with the known analytic result. Here, we have implemented an improved weighting function which reduces both discretization and finite-volume effects arising from the hadronic part of the amplitude.},
doi = {10.1103/PhysRevD.96.034515},
journal = {Physical Review D},
issn = {2470-0010},
number = 3,
volume = 96,
place = {United States},
year = {2017},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD
journal, January 2015


The BAGEL assembler generation library
journal, December 2009


Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment
journal, January 2016


( g − 2) μ and α( M 2 Z ) re-evaluated using new precise data
journal, June 2011

  • Hagiwara, Kaoru; Liao, Ruofan; Martin, Alan D.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 38, Issue 8
  • DOI: 10.1088/0954-3899/38/8/085003

The analytical value of the electron light-light graphs contribution to the muon (g−2) in QED
journal, March 1993


Cuba—a library for multidimensional numerical integration
journal, June 2005


Heavy mass expansion, light-by-light scattering through pointlike quanta, and the anomalous magnetic moment of the muon
journal, August 2003


Lattice QCD Calculation of Hadronic Light-by-Light Scattering
journal, November 2015


Review of Particle Physics
journal, July 2012


Connected and Leading Disconnected Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment with a Physical Pion Mass
journal, January 2017


Tenth-order electron anomalous magnetic moment: Contribution of diagrams without closed lepton loops
journal, February 2015


Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
journal, June 2014


Final report of the E821 muon anomalous magnetic moment measurement at BNL
journal, April 2006


The analytic value of the light-light vertex graph contributions to the electron g −2 in QED
journal, August 1991


Reevaluation of the hadronic contributions to the muon g−2 and to $\alpha (M^{2}_{Z})$
journal, January 2011


New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
journal, March 2008


    Works referencing / citing this record:

    Revised and improved value of the QED tenth-order electron anomalous magnetic moment
    journal, February 2018


    High energy physics and cosmology at the unification frontier: Opportunities and challenges in the coming years
    journal, July 2018


    Kaon-box contribution to the anomalous magnetic moment of the muon
    journal, March 2020


    Revised and improved value of the QED tenth-order electron anomalous magnetic moment
    journal, February 2018


    High energy physics and cosmology at the unification frontier: Opportunities and challenges in the coming years
    journal, July 2018