Radiative corrections to neutron and nuclear beta decays revisited

doi:10.1103/PhysRevD.100.073008

Title: Radiative corrections to neutron and nuclear beta decays revisited

Abstract

The universal radiative corrections common to neutron and superallowed nuclear beta decays (also known as “inner” corrections) are revisited in light of a recent dispersion relation study that found +2.467(22)%, i.e., about 2.4σ larger than the previous evaluation. For comparison, we consider several alternative computational methods. All employ an updated perturbative QCD four-loop Bjorken sum rule defined QCD coupling supplemented with a nucleon form factor based Born amplitude to estimate axial-vector induced hadronic contributions. In addition, we now include hadronic contributions from low Q² loop effects based on duality considerations and vector meson resonance interpolators. Our primary result, 2.426(32)%, corresponds to an average of a light-front holographic QCD approach and a three-resonance interpolator fit. It reduces the dispersion relation discrepancy to approximately 1.1σ and thereby provides a consistency check. Consequences of our new radiative correction estimate, along with that of the dispersion relation result, for Cabibbo-Kobayashi-Maskawa unitarity are discussed. The neutron lifetime-gA connection is updated and shown to suggest a shorter neutron lifetime less than 879 s. We also find an improved bound on exotic, non–Standard Model, neutron decays or oscillations of the type conjectured as solutions to the neutron lifetime problem, BR(n → exotics) < 0.16%.

Authors:

; Marciano, William J.; Sirlin, Alberto

Publication Date:: 2019-10-21

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1571309

Alternate Identifier(s):: OSTI ID: 1574109

Report Number(s):: BNL-212325-2019-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 073008

Grant/Contract Number:: SC0012704

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 7; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; neutron; beta decay; QCD; inner SM; CKM

Citation Formats


                    Czarnecki, Andrzej, Marciano, William J., and Sirlin, Alberto. Radiative corrections to neutron and nuclear beta decays revisited.  United States: N. p., 2019. 
        Web.  doi:10.1103/PhysRevD.100.073008.

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                    Czarnecki, Andrzej, Marciano, William J., & Sirlin, Alberto. Radiative corrections to neutron and nuclear beta decays revisited.  United States.  doi:10.1103/PhysRevD.100.073008.

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                    Czarnecki, Andrzej, Marciano, William J., and Sirlin, Alberto. Mon .  
        "Radiative corrections to neutron and nuclear beta decays revisited".  United States.  doi:10.1103/PhysRevD.100.073008.

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@article{osti_1571309,

  title        = {Radiative corrections to neutron and nuclear beta decays revisited},

  author       = {Czarnecki, Andrzej and Marciano, William J. and Sirlin, Alberto},

  abstractNote = {The universal radiative corrections common to neutron and superallowed nuclear beta decays (also known as “inner” corrections) are revisited in light of a recent dispersion relation study that found +2.467(22)%, i.e., about 2.4σ larger than the previous evaluation. For comparison, we consider several alternative computational methods. All employ an updated perturbative QCD four-loop Bjorken sum rule defined QCD coupling supplemented with a nucleon form factor based Born amplitude to estimate axial-vector induced hadronic contributions. In addition, we now include hadronic contributions from low Q2 loop effects based on duality considerations and vector meson resonance interpolators. Our primary result, 2.426(32)%, corresponds to an average of a light-front holographic QCD approach and a three-resonance interpolator fit. It reduces the dispersion relation discrepancy to approximately 1.1σ and thereby provides a consistency check. Consequences of our new radiative correction estimate, along with that of the dispersion relation result, for Cabibbo-Kobayashi-Maskawa unitarity are discussed. The neutron lifetime-gA connection is updated and shown to suggest a shorter neutron lifetime less than 879 s. We also find an improved bound on exotic, non–Standard Model, neutron decays or oscillations of the type conjectured as solutions to the neutron lifetime problem, BR(n → exotics) < 0.16%.},

  doi          = {10.1103/PhysRevD.100.073008},

  journal      = {Physical Review D},

  number       = 7,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {10}

}

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DOI: 10.1103/PhysRevD.100.073008

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Works referenced in this record:

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Works referencing / citing this record:

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Physical Review C, Vol. 101, Issue 1
DOI: 10.1103/physrevc.101.015501

Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions
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Title: Radiative corrections to neutron and nuclear beta decays revisited

Abstract

Citation Formats

Toward a First-Principles Calculation of Electroweak Box Diagrams journal, May 2019

Radiative Corrections to the Fermi Part of Strangeness-Conserving β Decay journal, March 1968

Determination of αs and the nucleon spin decomposition using recent polarized structure function data journal, January 1995

Renormalization group improved perturbative QCD journal, September 1980

Padé approximants, Borel transforms and renormalons: the Bjorken sum rule as a case study journal, January 1996

General Properties of the Electromagnetic Corrections to the Beta Decay of a Physical Nucleon journal, December 1967

Radiative Corrections to Fermi Interactions journal, March 1959

Radiative corrections to GV/Gμ in simple extensions of the SU(2) × U(1) gauge model journal, March 1974

γ W Box Inside Out: Nuclear Polarizabilities Distort the Beta Decay Spectrum journal, July 2019

Addendum to “Charm and bottom quark masses: An update” journal, December 2017

Light-front hadron dynamics and AdS/CFT correspondence journal, March 2004

On the interface between perturbative and nonperturbative QCD journal, June 2016

Electromagnetic Corrections to the Weak Δ S = 0 Vector Coupling Constant journal, April 1967

Bjorken Limit in Perturbation Theory journal, May 1970

Review of Particle Physics journal, August 2018

Radiative corrections to β decay and the possibility of a fourth generation journal, January 1986

Light-front holographic QCD and emerging confinement journal, July 2015

Precise Determination of | V u s | from Lattice Calculations of Pseudoscalar Decay Constants journal, December 2004

Exotic decay channels are not the cause of the neutron lifetime anomaly journal, April 2019

Some considerations on the radiative corrections to muon and neutron decay journal, October 1962

Improved Calculation of Electroweak Radiative Corrections and the Value of V u d journal, January 2006

Radiative Corrections to Muon and Neutron Decay journal, October 1958

Measurement of the Weak Axial-Vector Coupling Constant in the Decay of Free Neutrons Using a Pulsed Cold Neutron Beam journal, June 2019

Analysis of neutron β-decay journal, March 1982

Neutron Lifetime and Axial Coupling Connection journal, May 2018

The generalized Crewther relation in QCD and its experimental consequences journal, April 1996

Applications of the Chiral U ( 6 ) ⊗ U ( 6 ) Algebra of Current Densities journal, August 1966

Anomalous algebras and neutrino sum rules journal, March 1975

Precision measurements and CKM unitarity journal, November 2004

High-energy neutrino-nucleon scattering, current algebra and partons journal, December 1969

Massless Propagators, R(s) and Multiloop QCD journal, April 2015

Electromagnetic effects in the decay of polarized neutrons journal, October 1971

Dark Matter Interpretation of the Neutron Decay Anomaly journal, May 2018

Version 3 of RunDec and CRunDec journal, March 2018

Experimental determination of the effective strong coupling constant journal, July 2007

Superallowed 0 + → 0 + nuclear β decays: 2014 critical survey, with precise results for V u d and CKM unitarity journal, February 2015

High precision determination of the Q 2 evolution of the Bjorken sum journal, July 2014

Reduced Hadronic Uncertainty in the Determination of V u d journal, December 2018

Dispersive evaluation of the inner radiative correction in neutron and nuclear β decay journal, July 2019

The QCD running coupling journal, September 2016

RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses journal, December 2000

Inequality for Backward Electron- and Muon-Nucleon Scattering at High Momentum Transfer journal, November 1967

Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling journal, July 2018

The αs3 corrections to the Bjorken sum rule for polarized electroproduction and to the Gross-Llewellyn Smith sum rule journal, April 1991

Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order α s 4 in a General Gauge Theory journal, March 2010

Current algebra formulation of radiative corrections in gauge theories and the universality of the weak interactions journal, July 1978

The singlet contribution to the Bjorken sum rule for polarized deep inelastic scattering journal, June 2013

α s 3 correction to the Bjorken sum rule journal, February 1991

Inelastic Scattering of Polarized Leptons from Polarized Nucleons journal, March 1970

Precision half-life measurement of P 29 journal, January 2020

Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions journal, January 2020

Toward a First-Principles Calculation of Electroweak Box Diagrams
journal, May 2019

Radiative Corrections to the Fermi Part of Strangeness-Conserving $β$ Decay
journal, March 1968

Determination of αs and the nucleon spin decomposition using recent polarized structure function data
journal, January 1995

Renormalization group improved perturbative QCD
journal, September 1980

Padé approximants, Borel transforms and renormalons: the Bjorken sum rule as a case study
journal, January 1996

General Properties of the Electromagnetic Corrections to the Beta Decay of a Physical Nucleon
journal, December 1967

Radiative Corrections to Fermi Interactions
journal, March 1959

Radiative corrections to GV/Gμ in simple extensions of the SU(2) × U(1) gauge model
journal, March 1974

$γ W$ Box Inside Out: Nuclear Polarizabilities Distort the Beta Decay Spectrum
journal, July 2019

Addendum to “Charm and bottom quark masses: An update”
journal, December 2017

Light-front hadron dynamics and AdS/CFT correspondence
journal, March 2004

On the interface between perturbative and nonperturbative QCD
journal, June 2016

Electromagnetic Corrections to the Weak $Δ S = 0$ Vector Coupling Constant
journal, April 1967

Bjorken Limit in Perturbation Theory
journal, May 1970

Review of Particle Physics
journal, August 2018

Radiative corrections to β decay and the possibility of a fourth generation
journal, January 1986

Light-front holographic QCD and emerging confinement
journal, July 2015

Precise Determination of $| V_{u s} |$ from Lattice Calculations of Pseudoscalar Decay Constants
journal, December 2004

Exotic decay channels are not the cause of the neutron lifetime anomaly
journal, April 2019

Some considerations on the radiative corrections to muon and neutron decay
journal, October 1962

Improved Calculation of Electroweak Radiative Corrections and the Value of $V_{u d}$
journal, January 2006

Radiative Corrections to Muon and Neutron Decay
journal, October 1958

Measurement of the Weak Axial-Vector Coupling Constant in the Decay of Free Neutrons Using a Pulsed Cold Neutron Beam
journal, June 2019

Analysis of neutron β-decay
journal, March 1982

Neutron Lifetime and Axial Coupling Connection
journal, May 2018

The generalized Crewther relation in QCD and its experimental consequences
journal, April 1996

Applications of the Chiral $U (6) \otimes U (6)$ Algebra of Current Densities
journal, August 1966

Anomalous algebras and neutrino sum rules
journal, March 1975

Precision measurements and CKM unitarity
journal, November 2004

High-energy neutrino-nucleon scattering, current algebra and partons
journal, December 1969

Massless Propagators, R(s) and Multiloop QCD
journal, April 2015

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journal, October 1971

Dark Matter Interpretation of the Neutron Decay Anomaly
journal, May 2018

Version 3 of RunDec and CRunDec
journal, March 2018

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journal, July 2007

Superallowed $0^{+} \to 0^{+}$ nuclear $β$ decays: 2014 critical survey, with precise results for $V_{u d}$ and CKM unitarity
journal, February 2015

High precision determination of the $Q^{2}$ evolution of the Bjorken sum
journal, July 2014

Reduced Hadronic Uncertainty in the Determination of $V_{u d}$
journal, December 2018

Dispersive evaluation of the inner radiative correction in neutron and nuclear $β$ decay
journal, July 2019

The QCD running coupling
journal, September 2016

RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
journal, December 2000

Inequality for Backward Electron- and Muon-Nucleon Scattering at High Momentum Transfer
journal, November 1967

Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
journal, July 2018

The αs3 corrections to the Bjorken sum rule for polarized electroproduction and to the Gross-Llewellyn Smith sum rule
journal, April 1991

Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order $α_{s}^{4}$ in a General Gauge Theory
journal, March 2010

Current algebra formulation of radiative corrections in gauge theories and the universality of the weak interactions
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The singlet contribution to the Bjorken sum rule for polarized deep inelastic scattering
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$α_{s}^{3}$ correction to the Bjorken sum rule
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Inelastic Scattering of Polarized Leptons from Polarized Nucleons
journal, March 1970

Precision half-life measurement of ${}^{29}P$
journal, January 2020

Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions
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