Determination of m¯b / m¯c and m¯b from nf = 4 lattice QCD + QED

Hatton, D., Davies, C.T.H. , Koponen, J., Lepage, G.P. and Lytle, A.T. (2021) Determination of m¯b / m¯c and m¯b from nf = 4 lattice QCD + QED. Physical Review D, 103(11), 114508. (doi: 10.1103/PhysRevD.103.114508)

Abstract

We extend HPQCD’s earlier n f = 2 + 1 + 1 lattice-QCD analysis of the ratio of ¯¯¯¯¯¯ MS masses of the b and c quark to include results from finer lattices (down to 0.03 fm) and a new calculation of QED contributions to the mass ratio. We find that ¯ m b ( μ ) / ¯ m c ( μ ) = 4.586 ( 12 ) at renormalization scale μ = 3     GeV . This result is nonperturbative. Combining it with HPQCD’s recent lattice QCD + QED determination of ¯ m c ( 3     GeV ) gives a new value for the b -quark mass: ¯ m b ( 3     GeV ) = 4.513 ( 26 )     GeV . The b -mass corresponds to ¯ m b ( ¯ m b , n f = 5 ) = 4.202 ( 21 )     GeV . These results are the first based on simulations that include QED.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Lytle, Dr Andrew and Hatton, Dr Daniel and Koponen, Dr Jonna and Davies, Professor Christine
• Authors: Hatton, D., Davies, C.T.H., Koponen, J., Lepage, G.P., and Lytle, A.T.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Physical Review D
• Publisher: American Physical Society
• ISSN: 2470-0010
• ISSN (Online): 2470-0029
• Published Online: 14 June 2021
• Copyright Holders: Copyright © 2021 American Physical Society
• First Published: First published in Physical Review D 103(11): 114508
• Publisher Policy: Reproduced under a Creative Commons License

Project Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
162894		Precision results for particle physics from lattice QCD: Computing resources and software support for the UKQCD physics programme.	Christine Davies	Science and Technology Facilities Council (STFC)	ST/H00887X/1	P&S - Physics & Astronomy