Calculation of the heavy-hadron axial couplings g1, g2, and g3 using lattice QCD

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In a recent paper [arXiv:1109.2480] we have reported on a lattice QCD calculation of the heavy-hadron axial couplings g{sub 1}, g{sub 2}, and g{sub 3}. These quantities are low-energy constants of heavy-hadron chiral perturbation theory (HH{chi}PT) and are related to the B*B{pi}, {Sigma}{sub b}*{Sigma}{sub b}{pi}, and {Sigma}{sub b}{sup (*)}{Lambda}{sub b}{pi} couplings. In the following, we discuss important details of the calculation and give further results. To determine the axial couplings, we explicitly match the matrix elements of the axial current in QCD with the corresponding matrix elements in HH{chi}PT. We construct the ratios of correlation functions used to calculate the ... continued below

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114508 (32 pages)

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Will Detmold, David Lin, Stefan Meinel June 1, 2012.

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In a recent paper [arXiv:1109.2480] we have reported on a lattice QCD calculation of the heavy-hadron axial couplings g{sub 1}, g{sub 2}, and g{sub 3}. These quantities are low-energy constants of heavy-hadron chiral perturbation theory (HH{chi}PT) and are related to the B*B{pi}, {Sigma}{sub b}*{Sigma}{sub b}{pi}, and {Sigma}{sub b}{sup (*)}{Lambda}{sub b}{pi} couplings. In the following, we discuss important details of the calculation and give further results. To determine the axial couplings, we explicitly match the matrix elements of the axial current in QCD with the corresponding matrix elements in HH{chi}PT. We construct the ratios of correlation functions used to calculate the matrix elements in lattice QCD, and study the contributions from excited states. We present the complete numerical results and discuss the data analysis in depth. In particular, we demonstrate the convergence of SU(4|2) HH{chi}PT for the axial current matrix elements at pion masses up to about 400 MeV and show the impact of the nonanalytic loop contributions. Finally, we present additional predictions for strong and radiative decay widths of charm and bottom baryons.

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114508 (32 pages)

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  • Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology; Journal Volume: 85; Journal Issue: 11

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  • Report No.: JLAB-THY-11-1459
  • Report No.: DOE/OR/23177-1866
  • Report No.: arXiv:1203.3378
  • Grant Number: AC05-06OR23177
  • Office of Scientific & Technical Information Report Number: 1043292
  • Archival Resource Key: ark:/67531/metadc833749

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Office of Scientific & Technical Information Technical Reports

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  • June 1, 2012

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  • May 19, 2016, 3:16 p.m.

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  • Aug. 3, 2016, 6:18 p.m.

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Will Detmold, David Lin, Stefan Meinel. Calculation of the heavy-hadron axial couplings g1, g2, and g3 using lattice QCD, article, June 1, 2012; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc833749/: accessed June 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.