Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the Φ meson

Chakraborty, Bipasha; Davies, C. T.  H.; Donald, G. C.; Koponen, J.; Lepage, G. P.

doi:10.1103/PhysRevD.96.074502

Title: Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the $Φ$ meson

Abstract

Here, we compare correlators for pseudoscalar and vector mesons made from valence strange quarks using the clover quark and highly improved staggered quark (HISQ) formalisms in full lattice QCD. We use fully nonperturbative methods to normalise vector and axial vector current operators made from HISQ quarks, clover quarks and from combining HISQ and clover fields. This allows us to test expectations for the renormalisation factors based on perturbative QCD, with implications for the error budget of lattice QCD calculations of the matrix elements of clover-staggered $$b$$-light weak currents, as well as further HISQ calculations of the hadronic vacuum polarisation. We also compare the approach to the (same) continuum limit in clover and HISQ formalisms for the mass and decay constant of the $$\phi$$ meson. Our final results for these parameters, using single-meson correlators and neglecting quark-line disconnected diagrams are: $$m_{\phi} =$$ 1.023(5) GeV and $$f_{\phi} = $$ 0.238(3) GeV in good agreement with experiment. These results come from calculations in the HISQ formalism using gluon fields that include the effect of $$u$$, $$d$$, $$s$$ and $$c$$ quarks in the sea with three lattice spacing values and $$m_{u/d}$$ values going down to the physical point.

Authors:

Chakraborty, Bipasha ^[1]; Davies, C. T. H. ^[2]; Donald, G. C. ^[3]; Koponen, J. ^[4]; Lepage, G. P. ^[5]

Univ. of Glasgow, Scotland (United Kingdom). School of Physics and Astronomy; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Univ. of Glasgow, Scotland (United Kingdom). School of Physics and Astronomy
Univ. of Regensburg (Germany). Inst. for Theoretical Physics
Univ. of Glasgow, Scotland (United Kingdom). School of Physics and Astronomy; National Inst. of Nuclear Physics (INFN), Rome (Italy)
Cornell Univ., Ithaca, NY (United States). Lab. of Elementary-Particle Physics

Publication Date:: 2017-10-02

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

Contributing Org.:: HPQCD Collaboration

OSTI Identifier:: 1399365

Alternate Identifier(s):: OSTI ID: 1395916

Report Number(s):: JLAB-THY-17-2447; DOE/OR/23177-4123; arXiv:1703.05552
Journal ID: ISSN 2470-0010; PRVDAQ

Grant/Contract Number:: AC05-06OR23177

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 96; Journal Issue: 7; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Chakraborty, Bipasha, Davies, C. T.  H., Donald, G. C., Koponen, J., and Lepage, G. P. Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the Φ meson.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevD.96.074502.

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                    Chakraborty, Bipasha, Davies, C. T.  H., Donald, G. C., Koponen, J., & Lepage, G. P. Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the Φ meson.  United States.  https://doi.org/10.1103/PhysRevD.96.074502

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                    Chakraborty, Bipasha, Davies, C. T.  H., Donald, G. C., Koponen, J., and Lepage, G. P. Mon .  
"Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the Φ meson".  United States.  https://doi.org/10.1103/PhysRevD.96.074502.  https://www.osti.gov/servlets/purl/1399365.

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@article{osti_1399365,

  title        = {Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the Φ meson},

  author       = {Chakraborty, Bipasha and Davies, C. T.  H. and Donald, G. C. and Koponen, J. and Lepage, G. P.},

  abstractNote = {Here, we compare correlators for pseudoscalar and vector mesons made from valence strange quarks using the clover quark and highly improved staggered quark (HISQ) formalisms in full lattice QCD. We use fully nonperturbative methods to normalise vector and axial vector current operators made from HISQ quarks, clover quarks and from combining HISQ and clover fields. This allows us to test expectations for the renormalisation factors based on perturbative QCD, with implications for the error budget of lattice QCD calculations of the matrix elements of clover-staggered $b$-light weak currents, as well as further HISQ calculations of the hadronic vacuum polarisation. We also compare the approach to the (same) continuum limit in clover and HISQ formalisms for the mass and decay constant of the $\phi$ meson. Our final results for these parameters, using single-meson correlators and neglecting quark-line disconnected diagrams are: $m_{\phi} =$ 1.023(5) GeV and $f_{\phi} = $ 0.238(3) GeV in good agreement with experiment. These results come from calculations in the HISQ formalism using gluon fields that include the effect of $u$, $d$, $s$ and $c$ quarks in the sea with three lattice spacing values and $m_{u/d}$ values going down to the physical point.},

  doi          = {10.1103/PhysRevD.96.074502},

  journal      = {Physical Review D},

  number       = 7,

  volume       = 96,

  place        = {United States},

  year         = {2017},

  month        = {10}

}

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Conference Bailey, Jon A. ; Du, D. ; El-Khadra, A. X. ; ... - PoS

By combining experimentally measured partial branching fractions for the semileptonic decays D to K l nu and D to pi l nu with lattice calculations of the form factors f_+^{D to K}(q^2) and f_+^{D to pi}(q^2), one can extract the CKM matrix elements |V_{cs}| and |V_{cd}|. We are calculating the form factors by using Fermilab charm and asqtad staggered light and strange quarks on 2+1 flavor asqtad staggered ensembles generated by the MILC Collaboration. We vary the light valence quark masses from 0.4m_s to 0.05m_s (m_s is the strange sea-quark mass), and the lattice spacings, from about 0.12 fm tomore »« less
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We use overlap fermions as valence quarks to calculate meson masses in a wide quark mass range on the 2 + 1 -flavor domain-wall fermion gauge configurations generated by the RBC and UKQCD Collaborations. The well-defined quark masses in the overlap fermion formalism and the clear valence quark mass dependence of meson masses observed from the calculation facilitate a direct derivation of physical current quark masses through a global fit to the lattice data, which incorporates O(more »« less
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https://doi.org/10.1103/PhysRevD.100.094508

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Title: Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the Φ meson

Abstract

Citation Formats

Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks journal, October 2014

V c s from D s → ϕ ℓ ν semileptonic decay and full lattice QCD journal, October 2014

Renormalisation and off-shell improvement in lattice perturbation theory journal, January 2001

Review of Particle Physics journal, October 2016

High-precision c and b masses, and QCD coupling from current-current correlators in lattice and continuum QCD journal, August 2010

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

Relativistic heavy quark effective action journal, October 2007

B -meson decay constants from 2 + 1 -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks journal, March 2015

Toward the excited isoscalar meson spectrum from lattice QCD journal, November 2013

B → π ℓ ν and B s → K ℓ ν form factors and | V u b | from 2 + 1 -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks journal, April 2015

One-loop matching factors for staggered bilinear operators with improved gauge actions journal, June 2010

Update: Precision D s decay constant from full lattice QCD using very fine lattices journal, December 2010

Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions journal, February 2004

Improved nonrelativistic QCD for heavy-quark physics journal, November 1992

Precise B , B s , and B c meson spectroscopy from full lattice QCD journal, January 2011

High-precision quark masses and QCD coupling from n f = 4 lattice QCD journal, March 2015

Strange and charm quark contributions to the anomalous magnetic moment of the muon journal, June 2014

Update of | V c b | from the B ¯ → D * ℓ ν ¯ form factor at zero recoil with three-flavor lattice QCD journal, June 2014

B → π ℓ ν at zero recoil from lattice QCD with physical u / d quarks journal, February 2016

High-precision scale setting in lattice QCD journal, September 2012

Radiative corrections to the lattice gluon action for highly improved staggered quarks and the effect of such corrections on the static potential journal, April 2009

B - and D -meson decay constants from three-flavor lattice QCD journal, June 2012

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

Non-perturbative determination of the axial current normalization constant in 0(a) improved lattice QCD journal, April 1997

Hadronic vacuum polarization contribution to a μ from full lattice QCD journal, August 2017

Application of heavy-quark effective theory to lattice QCD. III. Radiative corrections to heavy-heavy currents journal, May 2002

One loop renormalization of lattice nonrelativistic QCD currents for semileptonic B → D ( * ) decays to order p → / M journal, September 2000

Matching lattice and continuum axial-vector and vector currents with nonrelativistic QCD and highly improved staggered quarks journal, February 2013

Application of heavy-quark effective theory to lattice QCD. II. Radiative corrections to heavy-light currents journal, May 2002

| V u b | from B → π ℓ ν decays and ( 2 + 1 )-flavor lattice QCD journal, July 2015

Constrained curve fitting journal, March 2002

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

The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea journal, March 2012

Perturbative calculation of improvement coefficients to O ( g 2 a ) for bilinear quark operators in lattice QCD journal, October 1998

One-loop matching of the heavy-light A 0 and V 0 currents with nonrelativistic QCD heavy and improved naive light quarks journal, April 2004

High-precision f B s and heavy quark effective theory from relativistic lattice QCD journal, February 2012

Exclusive D s semileptonic branching fraction measurements journal, July 2015

Massive fermions in lattice gauge theory journal, April 1997

High-Precision Determination of the π , K , D , and D s Decay Constants from Lattice QCD journal, February 2008

Calculation of B 0 → K * 0 μ + μ − and B s 0 → ϕ μ + μ − Observables Using Form Factors from Lattice QCD journal, May 2014

Leptonic-Decay-Constant Ratio f K + / f π + from Lattice QCD with Physical Light Quarks journal, April 2013

Study of the decay D s + → K + K − e + ν e journal, September 2008

B -Meson Decay Constants from Improved Lattice Nonrelativistic QCD with Physical u , d , s , and c Quarks journal, May 2013

V u s from π and K decay constants in full lattice QCD with physical u , d , s , and c quarks journal, October 2013

Precision tests of the J / ψ from full lattice QCD: Mass, leptonic width, and radiative decay rate to η c journal, November 2012

Two-loop renormalization of vector, axial-vector, and tensor fermion bilinears on the lattice journal, May 2009

Heavy-light mesons with staggered light quarks journal, March 2003

B -meson decay constants: A more complete picture from full lattice QCD journal, June 2015

Viability of lattice perturbation theory journal, September 1993

Precise determination of the lattice spacing in full lattice QCD journal, February 2010

Perturbative corrections for staggered four-fermion operators journal, April 1994

Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD journal, April 2016

Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks journal, March 1999

Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice conference, June 2010

Review of Particle Physics text, January 2008

Review of Particle Physics text, January 2018

Review of Particle Physics text, January 2012

Radiative corrections to the lattice gluon action for highly improved staggered quarks (HISQ) and the effect of such corrections on the static potential text, January 2008

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

Precise determination of the lattice spacing in full lattice QCD text, January 2009

One-loop matching factors for staggered bilinear operators with improved gauge actions text, January 2010

The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea text, January 2011

Toward the excited isoscalar meson spectrum from lattice QCD text, January 2013

Strange and charm quark contributions to the anomalous magnetic moment of the muon text, January 2014

B-meson decay constants: a more complete picture from full lattice QCD text, January 2015

Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions text, January 2003

Relativistic Heavy Quark Effective Action text, January 2006

Perturbative Corrections for Staggered Four-Fermion Operators text, January 1993

Massive Fermions in Lattice Gauge Theory text, January 1996

Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks text, January 1998

Exclusive semileptonic decays of D and Ds mesons in the covariant confining quark model journal, July 2019

Neutral B -meson mixing from full lattice QCD at the physical point journal, November 2019

Renormalizing vector currents in lattice QCD using momentum-subtraction schemes journal, December 2019

Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD journal, February 2020

Self-consistency and covariance of light-front quark models: Testing via P , V , and A meson decay constants, and P → P weak transition form factors journal, December 2018

Combined explanations of the b → s μ + μ − and b → c τ − ν ¯ anomalies: A general model analysis journal, January 2019

Left-right SU(4) vector leptoquark model for flavor anomalies journal, March 2019

Title: Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the $Φ$ meson

Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
journal, October 2014

$V_{c s}$ from $D_{s} \to ϕ ℓ ν$ semileptonic decay and full lattice QCD
journal, October 2014

Renormalisation and off-shell improvement in lattice perturbation theory
journal, January 2001

Review of Particle Physics
journal, October 2016

High-precision $c$ and $b$ masses, and QCD coupling from current-current correlators in lattice and continuum QCD
journal, August 2010

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

Relativistic heavy quark effective action
journal, October 2007

$B$ -meson decay constants from $2 + 1$ -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
journal, March 2015

Toward the excited isoscalar meson spectrum from lattice QCD
journal, November 2013

$B \to π ℓ ν$ and $B_{s} \to K ℓ ν$ form factors and $| V_{u b} |$ from $2 + 1$ -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
journal, April 2015

One-loop matching factors for staggered bilinear operators with improved gauge actions
journal, June 2010

Update: Precision $D_{s}$ decay constant from full lattice QCD using very fine lattices
journal, December 2010

Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions
journal, February 2004

Improved nonrelativistic QCD for heavy-quark physics
journal, November 1992

Precise $B$ , $B_{s}$ , and $B_{c}$ meson spectroscopy from full lattice QCD
journal, January 2011

High-precision quark masses and QCD coupling from $n_{f} = 4$ lattice QCD
journal, March 2015

Strange and charm quark contributions to the anomalous magnetic moment of the muon
journal, June 2014

Update of $| V_{c b} |$ from the $\bar{B} \to D^{*} ℓ \bar{ν}$ form factor at zero recoil with three-flavor lattice QCD
journal, June 2014

$B \to π ℓ ν$ at zero recoil from lattice QCD with physical $u / d$ quarks
journal, February 2016

High-precision scale setting in lattice QCD
journal, September 2012

Radiative corrections to the lattice gluon action for highly improved staggered quarks and the effect of such corrections on the static potential
journal, April 2009

$B$ - and $D$ -meson decay constants from three-flavor lattice QCD
journal, June 2012

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

Non-perturbative determination of the axial current normalization constant in 0(a) improved lattice QCD
journal, April 1997

Hadronic vacuum polarization contribution to $a_{μ}$ from full lattice QCD
journal, August 2017

Application of heavy-quark effective theory to lattice QCD. III. Radiative corrections to heavy-heavy currents
journal, May 2002

One loop renormalization of lattice nonrelativistic QCD currents for semileptonic $\vec{B} D^{(*)}$ decays to order $\vec{p} / M$
journal, September 2000

Matching lattice and continuum axial-vector and vector currents with nonrelativistic QCD and highly improved staggered quarks
journal, February 2013

Application of heavy-quark effective theory to lattice QCD. II. Radiative corrections to heavy-light currents
journal, May 2002

$| V_{u b} |$ from $B \to π ℓ ν$ decays and ( $2 + 1$ )-flavor lattice QCD
journal, July 2015

Constrained curve fitting
journal, March 2002

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

The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
journal, March 2012

Perturbative calculation of improvement coefficients to ${O (g}^{2} a)$ for bilinear quark operators in lattice QCD
journal, October 1998

One-loop matching of the heavy-light $A_{0}$ and $V_{0}$ currents with nonrelativistic QCD heavy and improved naive light quarks
journal, April 2004

High-precision $f_{B_{s}}$ and heavy quark effective theory from relativistic lattice QCD
journal, February 2012

Exclusive $D_{s}$ semileptonic branching fraction measurements
journal, July 2015

Massive fermions in lattice gauge theory
journal, April 1997

High-Precision Determination of the $π$ , $K$ , $D$ , and $D_{s}$ Decay Constants from Lattice QCD
journal, February 2008

Calculation of $B^{0} \to K^{* 0} μ^{+} μ^{-}$ and $B_{s}^{0} \to ϕ μ^{+} μ^{-}$ Observables Using Form Factors from Lattice QCD
journal, May 2014

Leptonic-Decay-Constant Ratio $f_{K^{+}} / f_{π^{+}}$ from Lattice QCD with Physical Light Quarks
journal, April 2013

Study of the decay $D_{s}^{+} \to K^{+} K^{-} e^{+} ν_{e}$
journal, September 2008

$B$ -Meson Decay Constants from Improved Lattice Nonrelativistic QCD with Physical $u$ , $d$ , $s$ , and $c$ Quarks
journal, May 2013

$V_{u s}$ from $π$ and $K$ decay constants in full lattice QCD with physical $u$ , $d$ , $s$ , and $c$ quarks
journal, October 2013

Precision tests of the $J / ψ$ from full lattice QCD: Mass, leptonic width, and radiative decay rate to $η_{c}$
journal, November 2012

Two-loop renormalization of vector, axial-vector, and tensor fermion bilinears on the lattice
journal, May 2009

Heavy-light mesons with staggered light quarks
journal, March 2003

$B$ -meson decay constants: A more complete picture from full lattice QCD
journal, June 2015

Viability of lattice perturbation theory
journal, September 1993

Precise determination of the lattice spacing in full lattice QCD
journal, February 2010

Perturbative corrections for staggered four-fermion operators
journal, April 1994

Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD
journal, April 2016

Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks
journal, March 1999

Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
conference, June 2010

Review of Particle Physics
text, January 2008

Review of Particle Physics
text, January 2018

Review of Particle Physics
text, January 2012

Radiative corrections to the lattice gluon action for highly improved staggered quarks (HISQ) and the effect of such corrections on the static potential
text, January 2008

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

Precise determination of the lattice spacing in full lattice QCD
text, January 2009

One-loop matching factors for staggered bilinear operators with improved gauge actions
text, January 2010

The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
text, January 2011

Toward the excited isoscalar meson spectrum from lattice QCD
text, January 2013

Strange and charm quark contributions to the anomalous magnetic moment of the muon
text, January 2014

B-meson decay constants: a more complete picture from full lattice QCD
text, January 2015

Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions
text, January 2003

Relativistic Heavy Quark Effective Action
text, January 2006

Perturbative Corrections for Staggered Four-Fermion Operators
text, January 1993

Massive Fermions in Lattice Gauge Theory
text, January 1996

Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks
text, January 1998

Exclusive semileptonic decays of D and Ds mesons in the covariant confining quark model
journal, July 2019

Neutral $B$ -meson mixing from full lattice QCD at the physical point
journal, November 2019

Renormalizing vector currents in lattice QCD using momentum-subtraction schemes
journal, December 2019

Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD
journal, February 2020

Self-consistency and covariance of light-front quark models: Testing via $P$ , $V$ , and $A$ meson decay constants, and $P \to P$ weak transition form factors
journal, December 2018

Combined explanations of the $b \to s μ^{+} μ^{-}$ and $b \to c τ^{-} \bar{ν}$ anomalies: A general model analysis
journal, January 2019

Left-right SU(4) vector leptoquark model for flavor anomalies
journal, March 2019

Neutral B-meson mixing from full lattice QCD at the physical point
text, January 2019

Left-Right SU(4) Vector Leptoquark Model for Flavor Anomalies
text, January 2018