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Title: Isovector and isoscalar tensor charges of the nucleon from lattice QCD

Abstract

Here, we present results for the isovector and flavor diagonal tensor charges g u–d T, g u T, g d T, and g s T needed to probe novel tensor interactions at the TeV scale in neutron and nuclear β-decays and the contribution of the quark electric dipole moment (EDM) to the neutron EDM. The lattice QCD calculations were done using nine ensembles of gauge configurations generated by the MILC collaboration using the HISQ action with 2+1+1 dynamical flavors. These ensembles span three lattice spacings a ≈ 0.06, 0.09 and 0.12 fm and three quark masses corresponding to the pion masses M π ≈ 130, 220 and 310 MeV. Using estimates from these ensembles, we quantify all systematic uncertainties and perform a simultaneous extrapolation in the lattice spacing, volume and light quark masses for the connected contributions. The final estimates of the connected nucleon (proton) tensor charge for the isovector combination is g u–d T = 1.020(76) in the MS¯ scheme at 2 GeV. The additional disconnected quark loop contributions needed for the flavor-diagonal matrix elements are calculated using a stochastic estimator employing the truncated solver method with the all-mode-averaging technique. We find that the size of the disconnected contributionmore » is smaller than the statistical error in the connected contribution. This allows us to bound the disconnected contribution and include it as an additional uncertainty in the flavor-diagonal charges. After a continuum extrapolation, we find g u T = 0.774(66), g d T = –0.233(28) and g u+d T = 0.541(67). The strangeness tensor charge, that can make a significant contribution to the neutron EDM due to the large ratio m s/m u,d, is g s T = 0.008(9) in the continuum limit.« less

Authors:
 [1];  [1];  [2];  [1];  [3];  [4];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Washington, Seattle, WA (United States)
  3. John von Neumann Institute for Computing, DESY, Zeuthen (Germany)
  4. Univ. of California, Berkeley, CA (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1248743
Alternate Identifier(s):
OSTI ID: 1225679
Report Number(s):
LA-UR-15-23801
Journal ID: ISSN 1550-7998; PRVDAQ
Grant/Contract Number:  
AC52-06NA25396; AC02-05CH11231; KA-1401020; FG02-97ER4014
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 92; Journal Issue: 9; Journal ID: ISSN 1550-7998
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics; Nucleon charges, Disconnected quark loops, quark EDM

Citation Formats

Bhattacharya, Tanmoy, Cirigliano, Vincenzo, Cohen, Saul D., Gupta, Rajan, Joseph, Anosh, Lin, Huey -Wen, and Yoon, Boram. Isovector and isoscalar tensor charges of the nucleon from lattice QCD. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.92.094511.
Bhattacharya, Tanmoy, Cirigliano, Vincenzo, Cohen, Saul D., Gupta, Rajan, Joseph, Anosh, Lin, Huey -Wen, & Yoon, Boram. Isovector and isoscalar tensor charges of the nucleon from lattice QCD. United States. doi:10.1103/PhysRevD.92.094511.
Bhattacharya, Tanmoy, Cirigliano, Vincenzo, Cohen, Saul D., Gupta, Rajan, Joseph, Anosh, Lin, Huey -Wen, and Yoon, Boram. Sun . "Isovector and isoscalar tensor charges of the nucleon from lattice QCD". United States. doi:10.1103/PhysRevD.92.094511. https://www.osti.gov/servlets/purl/1248743.
@article{osti_1248743,
title = {Isovector and isoscalar tensor charges of the nucleon from lattice QCD},
author = {Bhattacharya, Tanmoy and Cirigliano, Vincenzo and Cohen, Saul D. and Gupta, Rajan and Joseph, Anosh and Lin, Huey -Wen and Yoon, Boram},
abstractNote = {Here, we present results for the isovector and flavor diagonal tensor charges gu–dT, guT, gdT, and gsT needed to probe novel tensor interactions at the TeV scale in neutron and nuclear β-decays and the contribution of the quark electric dipole moment (EDM) to the neutron EDM. The lattice QCD calculations were done using nine ensembles of gauge configurations generated by the MILC collaboration using the HISQ action with 2+1+1 dynamical flavors. These ensembles span three lattice spacings a ≈ 0.06, 0.09 and 0.12 fm and three quark masses corresponding to the pion masses Mπ ≈ 130, 220 and 310 MeV. Using estimates from these ensembles, we quantify all systematic uncertainties and perform a simultaneous extrapolation in the lattice spacing, volume and light quark masses for the connected contributions. The final estimates of the connected nucleon (proton) tensor charge for the isovector combination is gu–dT = 1.020(76) in the MS¯ scheme at 2 GeV. The additional disconnected quark loop contributions needed for the flavor-diagonal matrix elements are calculated using a stochastic estimator employing the truncated solver method with the all-mode-averaging technique. We find that the size of the disconnected contribution is smaller than the statistical error in the connected contribution. This allows us to bound the disconnected contribution and include it as an additional uncertainty in the flavor-diagonal charges. After a continuum extrapolation, we find guT = 0.774(66), gdT = –0.233(28) and gu+dT = 0.541(67). The strangeness tensor charge, that can make a significant contribution to the neutron EDM due to the large ratio ms/mu,d, is gsT = 0.008(9) in the continuum limit.},
doi = {10.1103/PhysRevD.92.094511},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 9,
volume = 92,
place = {United States},
year = {2015},
month = {11}
}

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Works referenced in this record:

Probing novel scalar and tensor interactions from (ultra)cold neutrons to the LHC
journal, March 2012


Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007


Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013


Flavor symmetry and the static potential with hypercubic blocking
journal, July 2001


Nucleon charges and electromagnetic form factors from 2 + 1 + 1 -flavor lattice QCD
journal, May 2014


Charmed-baryon spectroscopy from lattice QCD with N f = 2 + 1 + 1 flavors
journal, November 2012


The Chroma Software System for Lattice QCD
journal, March 2005


Solving lattice QCD systems of equations using mixed precision solvers on GPUs
journal, September 2010


Nucleon form factors with 2 + 1 flavor dynamical domain-wall fermions
journal, June 2009


Effective noise reduction techniques for disconnected loops in Lattice QCD
journal, September 2010

  • Bali, Gunnar S.; Collins, Sara; Schäfer, Andreas
  • Computer Physics Communications, Vol. 181, Issue 9
  • DOI: 10.1016/j.cpc.2010.05.008

New class of variance-reduction techniques using lattice symmetries
journal, November 2013


A general method for non-perturbative renormalization of lattice operators
journal, July 1995


Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
journal, July 2009


The nucleon electric dipole form factor from dimension-six time-reversal violation
journal, January 2011


Adaptive Multigrid Algorithm for the Lattice Wilson-Dirac Operator
journal, November 2010


Padé- Z 2 estimator of determinants
journal, February 1998


Flavour-singlet pseudoscalar and scalar mesons
journal, April 2000


Efficient methods for Monte Carlo inversion of quark matrices
journal, April 1994


Improving stochastic estimator techniques for disconnected diagrams
journal, April 1998


Practical all-to-all propagators for lattice QCD
journal, November 2005

  • Foley, Justin; Juge, K. Jimmy; Ó Cais, Alan
  • Computer Physics Communications, Vol. 172, Issue 3
  • DOI: 10.1016/j.cpc.2005.06.008

Disconnected quark loop contributions to nucleon observables in lattice QCD
journal, February 2014


Nucleon scalar and tensor charges from lattice QCD with light Wilson quarks
journal, December 2012


Nucleon isovector structure functions in ( 2 + 1 )-flavor QCD with domain wall fermions
journal, July 2010


Nucleon isovector couplings from N f = 2 lattice QCD
journal, March 2015


Nucleon structure with two flavors of dynamical domain-wall fermions
journal, July 2008


First extraction of valence transversities in a collinear framework
journal, March 2013

  • Bacchetta, Alessandro; Courtoy, A.; Radici, Marco
  • Journal of High Energy Physics, Vol. 2013, Issue 3
  • DOI: 10.1007/JHEP03(2013)119

Simultaneous extraction of transversity and Collins functions from new semi-inclusive deep inelastic scattering and e + e data
journal, May 2013


Hadron electric dipole moments from CP-odd operators of dimension five via QCD sum rules: the vector meson
journal, January 2000


Nucleon tensor charges and electric dipole moments
journal, April 2015


Three loop tensor current anomalous dimension in QCD
journal, August 2000


QCD corrections to quark (chromo)electric dipole moments in high-scale supersymmetry
journal, December 2013

  • Fuyuto, Kaori; Hisano, Junji; Nagata, Natsumi
  • Journal of High Energy Physics, Vol. 2013, Issue 12
  • DOI: 10.1007/JHEP12(2013)010

Reevaluation of neutron electric dipole moment with QCD sum rules
journal, June 2012


Improved Experimental Limit on the Electric Dipole Moment of the Neutron
journal, September 2006


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    Review of the electric dipole moment of light nuclei
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    Review of the electric dipole moment of light nuclei
    journal, April 2017