Connected and leading disconnected hadronic lightbylight contribution to the muon anomalous magnetic moment with a physical pion mass
We report a lattice QCD calculation of the hadronic lightbylight contribution to the muon anomalous magnetic moment at a physical pion mass. The calculation includes the connected diagrams and the leading, quarklinedisconnected diagrams. We incorporate algorithmic improvements developed in our previous work. The calculation was performed on the 48 ^{3} × 96 ensemble generated with a physical pion mass and a 5.5 fm spatial extent by the RBC and UKQCD Collaborations using the chiral, domain wall fermion formulation. We find a ^{HLbL} _{μ} = 5.35(1.35) × 10 ^{–10}, where the error is statistical only. The finitevolume and finite latticespacing errors could be quite large and are the subject of ongoing research. Finally, the omitted disconnected graphs, while expected to give a correction of order 10%, also need to be computed.
 Authors:

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 Univ. of Connecticut, Storrs, CT (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
 Columbia Univ., New York, NY (United States)
 Nagoya Univ., Nagoya (Japan); RIKEN, Saitama (Japan)
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Publication Date:
 Report Number(s):
 BNL1137262017JA
Journal ID: ISSN 00319007; PRLTAO; KA2401012
 Grant/Contract Number:
 SC00112704; FG0292ER40716; SC0011941; AC0206CH11357; AC0298CH10886
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 118; Journal Issue: 2; Journal ID: ISSN 00319007
 Publisher:
 American Physical Society (APS)
 Research Org:
 Brookhaven National Laboratory (BNL), Upton, NY (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice; QCD; pion; quark; muon
 OSTI Identifier:
 1354628
 Alternate Identifier(s):
 OSTI ID: 1339018
Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, Jung, Chulwoo, and Lehner, Christoph. Connected and leading disconnected hadronic lightbylight contribution to the muon anomalous magnetic moment with a physical pion mass. United States: N. p.,
Web. doi:10.1103/PhysRevLett.118.022005.
Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, Jung, Chulwoo, & Lehner, Christoph. Connected and leading disconnected hadronic lightbylight contribution to the muon anomalous magnetic moment with a physical pion mass. United States. doi:10.1103/PhysRevLett.118.022005.
Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, Jung, Chulwoo, and Lehner, Christoph. 2017.
"Connected and leading disconnected hadronic lightbylight contribution to the muon anomalous magnetic moment with a physical pion mass". United States.
doi:10.1103/PhysRevLett.118.022005. https://www.osti.gov/servlets/purl/1354628.
@article{osti_1354628,
title = {Connected and leading disconnected hadronic lightbylight contribution to the muon anomalous magnetic moment with a physical pion mass},
author = {Blum, Thomas and Christ, Norman and Hayakawa, Masashi and Izubuchi, Taku and Jin, Luchang and Jung, Chulwoo and Lehner, Christoph},
abstractNote = {We report a lattice QCD calculation of the hadronic lightbylight contribution to the muon anomalous magnetic moment at a physical pion mass. The calculation includes the connected diagrams and the leading, quarklinedisconnected diagrams. We incorporate algorithmic improvements developed in our previous work. The calculation was performed on the 483 × 96 ensemble generated with a physical pion mass and a 5.5 fm spatial extent by the RBC and UKQCD Collaborations using the chiral, domain wall fermion formulation. We find aHLbLμ = 5.35(1.35) × 10–10, where the error is statistical only. The finitevolume and finite latticespacing errors could be quite large and are the subject of ongoing research. Finally, the omitted disconnected graphs, while expected to give a correction of order 10%, also need to be computed.},
doi = {10.1103/PhysRevLett.118.022005},
journal = {Physical Review Letters},
number = 2,
volume = 118,
place = {United States},
year = {2017},
month = {1}
}