Large- N c and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory

Nguyen, Son T.; Schindler, Matthias R.; Springer, Roxanne P.; Vanasse, Jared

doi:10.1103/PhysRevC.103.054004

Title: Large- $N_{c}$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory

Abstract

We extend, from operators with one derivative to operators with three derivatives, the analysis of two-body hadronic parity violation in a combined pionless effective field theory (EFT_π/) and large-N_c expansion, where N_c is the number of colors in quantum chromodynamics (QCD). In elastic scattering, these operators contribute to S–P and P–D wave transitions, with five operators and their accompanying low energy coefficients (LECs) characterizing the S–P transitions and six operators and LECs those in P–D transitions. We show that the large-N_c analysis separates them into leading order in N_c, next-to-leading order in N_c, etc. Relationships among EFT_π/ LECs emerge in the large-N_c expansion. We also discuss the renormalization group (RG) scale dependence of these LECs by considering two distinct limits: one in which large-N_c relationships among LECs hold but RG-related approximate expansions do not, and vice versa. Our analysis can complement lattice QCD calculations and help prioritize future parity-violating experiments.

Authors:

;

Publication Date:: Thu May 27 00:00:00 EDT 2021

Research Org.:: Duke Univ., Durham, NC (United States); Univ. of South Carolina, Columbia, SC (United States)

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

OSTI Identifier:: 1785037

Alternate Identifier(s):: OSTI ID: 1849608

Grant/Contract Number:: FG02-05ER41368; SC0019647

Resource Type:: Published Article

Journal Name:: Physical Review C

Additional Journal Information:: Journal Name: Physical Review C Journal Volume: 103 Journal Issue: 5; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics; Nuclear spin and parity; Nuclear structure and decay; Nucleon-nucleon interactions; Renormalization group; Many-body techniques

Citation Formats


                    Nguyen, Son T., Schindler, Matthias R., Springer, Roxanne P., and Vanasse, Jared. Large- N c and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory.  United States: N. p., 2021. 
Web.  doi:10.1103/PhysRevC.103.054004.

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                    Nguyen, Son T., Schindler, Matthias R., Springer, Roxanne P., & Vanasse, Jared. Large- N c and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory.  United States.  https://doi.org/10.1103/PhysRevC.103.054004

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                    Nguyen, Son T., Schindler, Matthias R., Springer, Roxanne P., and Vanasse, Jared. Thu .  
"Large- N c and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory".  United States.  https://doi.org/10.1103/PhysRevC.103.054004.

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@article{osti_1785037,

  title        = {Large- N c and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory},

  author       = {Nguyen, Son T. and Schindler, Matthias R. and Springer, Roxanne P. and Vanasse, Jared},

  abstractNote = {We extend, from operators with one derivative to operators with three derivatives, the analysis of two-body hadronic parity violation in a combined pionless effective field theory (EFTπ/) and large-Nc expansion, where Nc is the number of colors in quantum chromodynamics (QCD). In elastic scattering, these operators contribute to S–P and P–D wave transitions, with five operators and their accompanying low energy coefficients (LECs) characterizing the S–P transitions and six operators and LECs those in P–D transitions. We show that the large-Nc analysis separates them into leading order in Nc, next-to-leading order in Nc, etc. Relationships among EFTπ/ LECs emerge in the large-Nc expansion. We also discuss the renormalization group (RG) scale dependence of these LECs by considering two distinct limits: one in which large-Nc relationships among LECs hold but RG-related approximate expansions do not, and vice versa. Our analysis can complement lattice QCD calculations and help prioritize future parity-violating experiments.},

  doi          = {10.1103/PhysRevC.103.054004},

  journal      = {Physical Review C},

  number       = 5,

  volume       = 103,

  place        = {United States},

  year         = {Thu May 27 00:00:00 EDT 2021},

  month        = {Thu May 27 00:00:00 EDT 2021}

}

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Title: Large- N c and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory

Abstract

Citation Formats

Parity violation in proton-proton scattering at 13.6 MeV journal, February 1991

Light quark spin-flavor symmetry for baryons containing a heavy quark in large N QCD journal, October 1993

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Erratum: Large- N c limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory [Phys. Rev. C 93 , 025502 (2016)] journal, May 2018

Hadronic parity violation on the lattice journal, August 2002

Nuclear parity violation in effective field theory journal, February 2005

LARGE- N c BARYONS journal, December 1998

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Effective field theory of nuclear forces journal, January 1999

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Large- N QCD Baryon Dynamics—Exact Results from Its Relation to the Static Strong-Coupling Theory journal, January 1984

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Baryon-pion couplings from large-Nc QCD journal, October 1993

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Parity Violation in Proton-Proton Scattering at 221 MeV journal, December 2001

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Large- N c analysis of magnetic and axial two-nucleon currents in pionless effective field theory journal, May 2020

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Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon–nucleon scattering journal, December 2017

Serber symmetry, large N c , and Yukawa-like one-boson exchange potentials journal, July 2009

Circular polarization of γ quanta in absorption of neutrons by protons and isotopic structure of weak interactions journal, August 1965

Effective field theory of short-range forces journal, January 1999

A renormalisation-group treatment of two-body scattering journal, October 1999

The spin-flavor dependence of nuclear forces from large-N QCD journal, January 1996

E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS journal, December 2002

Low-Energy Universality in Atomic and Nuclear Physics journal, August 2009

Baryons in the expansion journal, November 1979

First Observation of P -odd γ Asymmetry in Polarized Neutron Capture on Hydrogen journal, December 2018

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Parity violation in proton-proton scattering at 221 MeV journal, September 2003

corrections to the baryon axial currents in QCD journal, October 1993

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The Effective Range of Nuclear Forces II. Photo-Disintegration of the Deuteron journal, March 1950

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Baryon hyperfine mass splittings large N QCD journal, October 1993

Time-reversal-invariance-violating nucleon-nucleon potential in the 1 / N c expansion journal, August 2016

A New Paradigm for Hadronic Parity Nonconservation and Its Experimental Implications journal, October 2017

Lattice QCD calculation of nuclear parity violation journal, February 2012

Title: Large- $N_{c}$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory

Parity violation in proton-proton scattering at 13.6 MeV
journal, February 1991

Light quark spin-flavor symmetry for baryons containing a heavy quark in large N QCD
journal, October 1993

Nucleon-nucleon effective field theory without pions
journal, July 1999

Erratum: Large- $N_{c}$ limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory [Phys. Rev. C 93 , 025502 (2016)]
journal, May 2018

Hadronic parity violation on the lattice
journal, August 2002

Nuclear parity violation in effective field theory
journal, February 2005

LARGE- N _c BARYONS
journal, December 1998

Spin-flavor structure of large $N_{c}$ baryons
journal, April 1995

Hadronic parity violation
journal, July 2013

Erratum: $\frac{1}{N_{c}}$ expansion for baryons
journal, March 1995

Effective field theory of nuclear forces
journal, January 1999

Precision calculation of cross section for big-bang nucleosynthesis
journal, October 2000

Nuclear Parity Violation from Lattice QCD
conference, July 2016

Large- $N$ QCD Baryon Dynamics—Exact Results from Its Relation to the Static Strong-Coupling Theory
journal, January 1984

Nucleon-nucleon interaction and large $N_{c}$ QCD
journal, March 2002

Baryon-pion couplings from large-Nc QCD
journal, October 1993

Wigner symmetry, large $N_{c}$ , and renormalized one-boson exchange potentials
journal, November 2008

Large- $N_{c}$ relationships among two-derivative pionless effective field theory couplings
journal, October 2018

Parity Violation in Proton-Proton Scattering at 221 MeV
journal, December 2001

Hadronic Parity Violation: A New View Through the Looking Glass
journal, November 2006

Dispersion approach to the investigation of the weak nucleon-nucleon interaction
journal, July 1971

Large- $N_{c}$ analysis of magnetic and axial two-nucleon currents in pionless effective field theory
journal, May 2020

Review of Particle Physics
journal, August 2018

Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon–nucleon scattering
journal, December 2017

Serber symmetry, large $N_{c}$ , and Yukawa-like one-boson exchange potentials
journal, July 2009

Circular polarization of γ quanta in absorption of neutrons by protons and isotopic structure of weak interactions
journal, August 1965

Effective field theory of short-range forces
journal, January 1999

A renormalisation-group treatment of two-body scattering
journal, October 1999

The spin-flavor dependence of nuclear forces from large-N QCD
journal, January 1996

E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS
journal, December 2002

Low-Energy Universality in Atomic and Nuclear Physics
journal, August 2009

Baryons in the expansion
journal, November 1979

First Observation of $P$ -odd $γ$ Asymmetry in Polarized Neutron Capture on Hydrogen
journal, December 2018

A new experimental study of the circular polarization of np capture γ-rays
journal, April 1984

NNLO corrections to nucleon–nucleon scattering and perturbative pions
journal, September 2000

Parity violation in proton-proton scattering at 221 MeV
journal, September 2003

corrections to the baryon axial currents in QCD
journal, October 1993

Nucleon-deuteron scattering from an effective field theory
journal, June 1998

A new expansion for nucleon-nucleon interactions
journal, April 1998

Parity-Violating Nucleon-Nucleon Force in the $1 / N_{c}$ Expansion
journal, February 2015

Isoscalar M1 and E2 amplitudes in np→dγ
journal, October 1999

Nucleon-nucleon scattering from effective field theory
journal, November 1996

Theory of the Effective Range in Nuclear Scattering
journal, July 1949

NN scattering $^{3} S_{1} -^{3} D_{1}$ mixing angle at next-to-next-to-leading order
journal, March 2000

The Effective Range of Nuclear Forces II. Photo-Disintegration of the Deuteron
journal, March 1950

Wigner Symmetry in the Limit of Large Scattering Lengths
journal, August 1999

Fully perturbative calculation of $n d$ scattering to next-to-next-to-leading order
journal, October 2013

The theory of parity violation in few-nucleon systems
journal, September 2013

Nuclear effective field theory: Status and perspectives
journal, June 2020

Large- $N_{c}$ limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory
journal, February 2016

A momentum subtraction scheme for two-nucleon effective field theory
journal, January 1999

Two-nucleon systems from effective field theory
journal, November 1998

$\frac{1}{N_{c}}$ expansion for baryons
journal, May 1994

Nucleon-nucleon interaction and isospin violation
book, January 1998

Nucleon-nucleon potential in the 1/Nc expansion
journal, July 1997

A planar diagram theory for strong interactions
journal, April 1974

Two parity-violating asymmetries from in pionless effective field theories
journal, November 2010

An effective-field-theory analysis of low-energy parity-violation in nucleon–nucleon scattering
journal, May 2009

Low Scale Saturation of Effective NN Interactions and Their Symmetries
journal, June 2016

Baryon hyperfine mass splittings large N QCD
journal, October 1993

Time-reversal-invariance-violating nucleon-nucleon potential in the $1 / N_{c}$ expansion
journal, August 2016

A New Paradigm for Hadronic Parity Nonconservation and Its Experimental Implications
journal, October 2017

Lattice QCD calculation of nuclear parity violation
journal, February 2012