Flavor diagonal tensor charges of the nucleon from ( 2 + 1 + 1 )-flavor lattice QCD

Gupta, Rajan; Yoon, Boram; Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Jang, Yong-Chull; Lin, Huey-Wen

doi:10.1103/PhysRevD.98.091501

Title: Flavor diagonal tensor charges of the nucleon from ( $2 + 1 + 1$ )-flavor lattice QCD

Abstract

We present state-of-the-art results for the matrix elements of flavor diagonal tensor operators within the nucleon state. The calculation of the dominant connected contribution is done using eleven ensembles of gauge configurations generated by the MILC collaboration using the HISQ action with 2+1+1 dynamical flavors. The calculation of the disconnected contributions is done using seven (six) ensembles for the strange (light) quarks. These high statistics simulations allowed us to address various systematic uncertainties. A simultaneous fit in the lattice spacing and the light-quark mass is used to extract the tensor charges for the proton in the continuum limit and at MPi = 135 MeV: guT = 0:784(28), gdT= -0:204(11) and gsT= -0:0027(16). Implications of these results for constraining the quark electric dipole moments and their contributions to the neutron electric dipole moment are discussed.

Authors:: Gupta, Rajan; Yoon, Boram; Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Jang, Yong-Chull; Lin, Huey-Wen

Publication Date:: Mon Nov 12 00:00:00 EST 2018

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Org.:: PNDME Collaboration

OSTI Identifier:: 1481814

Alternate Identifier(s):: OSTI ID: 1482954; OSTI ID: 1484890

Report Number(s):: LA-UR-18-28007; BNL-209650-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 091501

Grant/Contract Number:: AC02-05CH11231; AC05-00OR22725; AC52-06NA25396; 89233218CNA000001; SC0012704

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 98 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic, Nuclear and Particle Physics; Tensor charges, Lattice QCD; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice; QCD; nucleon; mass; quark; flavors; tensor; algorithm; matrix; operators

Citation Formats


                    Gupta, Rajan, Yoon, Boram, Bhattacharya, Tanmoy, Cirigliano, Vincenzo, Jang, Yong-Chull, and Lin, Huey-Wen. Flavor diagonal tensor charges of the nucleon from ( 2 + 1 + 1 )-flavor lattice QCD.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.98.091501.

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                    Gupta, Rajan, Yoon, Boram, Bhattacharya, Tanmoy, Cirigliano, Vincenzo, Jang, Yong-Chull, & Lin, Huey-Wen. Flavor diagonal tensor charges of the nucleon from ( 2 + 1 + 1 )-flavor lattice QCD.  United States.  https://doi.org/10.1103/PhysRevD.98.091501

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                    Gupta, Rajan, Yoon, Boram, Bhattacharya, Tanmoy, Cirigliano, Vincenzo, Jang, Yong-Chull, and Lin, Huey-Wen. Mon .  
"Flavor diagonal tensor charges of the nucleon from ( 2 + 1 + 1 )-flavor lattice QCD".  United States.  https://doi.org/10.1103/PhysRevD.98.091501.

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@article{osti_1481814,

  title        = {Flavor diagonal tensor charges of the nucleon from ( 2 + 1 + 1 )-flavor lattice QCD},

  author       = {Gupta, Rajan and Yoon, Boram and Bhattacharya, Tanmoy and Cirigliano, Vincenzo and Jang, Yong-Chull and Lin, Huey-Wen},

  abstractNote = {We present state-of-the-art results for the matrix elements of flavor diagonal tensor operators within the nucleon state. The calculation of the dominant connected contribution is done using eleven ensembles of gauge configurations generated by the MILC collaboration using the HISQ action with 2+1+1 dynamical flavors. The calculation of the disconnected contributions is done using seven (six) ensembles for the strange (light) quarks. These high statistics simulations allowed us to address various systematic uncertainties. A simultaneous fit in the lattice spacing and the light-quark mass is used to extract the tensor charges for the proton in the continuum limit and at MPi = 135 MeV: guT = 0:784(28), gdT= -0:204(11) and gsT= -0:0027(16). Implications of these results for constraining the quark electric dipole moments and their contributions to the neutron electric dipole moment are discussed.},

  doi          = {10.1103/PhysRevD.98.091501},

  journal      = {Physical Review. D.},

  number       = 9,

  volume       = 98,

  place        = {United States},

  year         = {Mon Nov 12 00:00:00 EST 2018},

  month        = {Mon Nov 12 00:00:00 EST 2018}

}

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FIG. 1: The data for the unrenormalized disconnected contributions of the light $g^{l,disc}_T$ (top two rows) and strange $g^{ s;disc}_T$ (bottom two rows) quarks. The ground state estimate is given by the solid black line within the gray band. It is obtained as the average over data at multiple $t$more »

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Title: Flavor diagonal tensor charges of the nucleon from ( 2 + 1 + 1 )-flavor lattice QCD

Abstract

Citation Formats

Figures / Tables:

First Monte Carlo Global Analysis of Nucleon Transversity with Lattice QCD Constraints journal, April 2018

First Extraction of Transversity from a Global Analysis of Electron-Proton and Proton-Proton Data journal, May 2018

Singlet versus nonsinglet perturbative renormalization of fermion bilinears journal, December 2016

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Aspects of Split Supersymmetry journal, March 2005

Nucleon scalar and tensor charges using lattice QCD simulations at the physical value of the pion mass journal, June 2017

Split supersymmetry journal, November 2004

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A new look at the statistical model identification journal, December 1974

Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations journal, October 2017

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Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron journal, December 2013

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Search for natural and split supersymmetry in proton-proton collisions at s = 13 $$ \sqrt{s}=13 $$ TeV in final states with jets and missing transverse momentum journal, May 2018

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Isovector charges of the nucleon from 2 + 1 + 1 -flavor lattice QCD journal, August 2018

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The Chroma Software System for Lattice QCD journal, March 2005

Title: Flavor diagonal tensor charges of the nucleon from ( $2 + 1 + 1$ )-flavor lattice QCD

First Monte Carlo Global Analysis of Nucleon Transversity with Lattice QCD Constraints
journal, April 2018

First Extraction of Transversity from a Global Analysis of Electron-Proton and Proton-Proton Data
journal, May 2018

Singlet versus nonsinglet perturbative renormalization of fermion bilinears
journal, December 2016

Isovector and isoscalar tensor charges of the nucleon from lattice QCD
journal, November 2015

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

Aspects of Split Supersymmetry
journal, March 2005

Nucleon scalar and tensor charges using lattice QCD simulations at the physical value of the pion mass
journal, June 2017

Split supersymmetry
journal, November 2004

Axial, scalar, and tensor charges of the nucleon from $2 + 1 + 1$ -flavor Lattice QCD
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A new look at the statistical model identification
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Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations
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Improved limit on the electric dipole moment of the electron
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Axial-vector form factors of the nucleon from lattice QCD
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Search for natural and split supersymmetry in proton-proton collisions at s = 13 $$ \sqrt{s}=13 $$ TeV in final states with jets and missing transverse momentum
journal, May 2018

Erratum: Nucleon scalar and tensor charges using lattice QCD simulations at the physical value of the pion mass [Phys. Rev. D 95 , 114514 (2017)]
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journal, March 2007

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journal, March 2005