Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven

Cirigliano, V.; Dekens, W.; de Vries, J.; Graesser, M. L.; Mereghetti, E.

doi:10.1007/JHEP12(2017)082

Title: Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven

Abstract

Here, we analyze neutrinoless double beta decay (0νββ) within the framework of the Standard Model Effective Field Theory. Apart from the dimension-five Weinberg operator, the first contributions appear at dimension seven. We classify the operators and evolve them to the electroweak scale, where we match them to effective dimension-six, -seven, and -nine operators. In the next step, after renormalization group evolution to the QCD scale, we construct the chiral Lagrangian arising from these operators. We then develop a power-counting scheme and derive the two-nucleon 0νββ currents up to leading order in the power counting for each lepton-number-violating operator. We argue that the leading-order contribution to the decay rate depends on a relatively small number of nuclear matrix elements. We test our power counting by comparing nuclear matrix elements obtained by various methods and by different groups. We find that the power counting works well for nuclear matrix elements calculated from a specific method, while, as in the case of light Majorana neutrino exchange, the overall magnitude of the matrix elements can differ by factors of two to three between methods. We also calculate the constraints that can be set on dimension-seven lepton-number-violating operators from 0νββ experiments and study the interplaymore »« less

Authors:

^[1];

^[2]; de Vries, J. ^[3];

^[1];

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); New Mexico Consortium, Los Alamos, NM (United States)
Nikhef, Amsterdam (Netherlands)

Publication Date:: 2017-12-15

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); Dutch Organization for Scientific Research

OSTI Identifier:: 1416309

Report Number(s):: LA-UR-17-27799
Journal ID: ISSN 1029-8479; TRN: US1800913

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 12; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics; Neutrinoless double beta decay

Citation Formats


                    Cirigliano, V., Dekens, W., de Vries, J., Graesser, M. L., and Mereghetti, E. Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP12(2017)082.

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                    Cirigliano, V., Dekens, W., de Vries, J., Graesser, M. L., & Mereghetti, E. Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven.  United States.  https://doi.org/10.1007/JHEP12(2017)082

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                    Cirigliano, V., Dekens, W., de Vries, J., Graesser, M. L., and Mereghetti, E. Fri .  
"Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven".  United States.  https://doi.org/10.1007/JHEP12(2017)082.  https://www.osti.gov/servlets/purl/1416309.

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@article{osti_1416309,

  title        = {Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven},

  author       = {Cirigliano, V. and Dekens, W. and de Vries, J. and Graesser, M. L. and Mereghetti, E.},

  abstractNote = {Here, we analyze neutrinoless double beta decay (0νββ) within the framework of the Standard Model Effective Field Theory. Apart from the dimension-five Weinberg operator, the first contributions appear at dimension seven. We classify the operators and evolve them to the electroweak scale, where we match them to effective dimension-six, -seven, and -nine operators. In the next step, after renormalization group evolution to the QCD scale, we construct the chiral Lagrangian arising from these operators. We then develop a power-counting scheme and derive the two-nucleon 0νββ currents up to leading order in the power counting for each lepton-number-violating operator. We argue that the leading-order contribution to the decay rate depends on a relatively small number of nuclear matrix elements. We test our power counting by comparing nuclear matrix elements obtained by various methods and by different groups. We find that the power counting works well for nuclear matrix elements calculated from a specific method, while, as in the case of light Majorana neutrino exchange, the overall magnitude of the matrix elements can differ by factors of two to three between methods. We also calculate the constraints that can be set on dimension-seven lepton-number-violating operators from 0νββ experiments and study the interplay between dimension-five and -seven operators, discussing how dimension-seven contributions affect the interpretation of 0νββ in terms of the effective Majorana mass m ββ .},

  doi          = {10.1007/JHEP12(2017)082},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 12,

  volume       = 2017,

  place        = {United States},

  year         = {2017},

  month        = {12}

}

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Pastore, S.; Carlson, J.; Cirigliano, V.
Physical Review C, Vol. 97, Issue 1
DOI: 10.1103/physrevc.97.014606

Shell model study of using an effective field theory for disentangling several contributions to neutrinoless double- $β$ decay
journal, September 2018

Horoi, Mihai; Neacsu, Andrei
Physical Review C, Vol. 98, Issue 3
DOI: 10.1103/physrevc.98.035502

New Leading Contribution to Neutrinoless Double- $β$ Decay
journal, May 2018

Cirigliano, Vincenzo; Dekens, Wouter; de Vries, Jordy
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DOI: 10.1103/physrevlett.120.202001

Heavy Physics Contributions to Neutrinoless Double Beta Decay from QCD
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Nicholson, A.; Berkowitz, E.; Monge-Camacho, H.
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DOI: 10.1103/physrevlett.121.172501

A new leading contribution to neutrinoless double-beta decay
text, January 2018

Cirigliano, V.; Dekens, W.; de Vries, J.
arXiv
DOI: 10.48550/arxiv.1802.10097

A neutrinoless double beta decay master formula from effective field theory
text, January 2018

Cirigliano, V.; Dekens, W.; de Vries, J.
arXiv
DOI: 10.48550/arxiv.1806.02780

Renormalization Group Evolution of Dimension-seven Operators in Standard Model Effective Field Theory and Relevant Phenomenology
text, January 2019

Liao, Yi; Ma, Xiao-Dong
arXiv
DOI: 10.48550/arxiv.1901.10302

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Title: Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven

Abstract

Citation Formats

An electroweak basis for neutrinoless double β decay journal, August 2017

Disassembling the nuclear matrix elements of the neutrinoless ββ decay journal, March 2009

Probing new physics models of neutrinoless double beta decay with SuperNEMO journal, November 2010

Baryon number, lepton number, and operator dimension in the Standard Model journal, July 2016

Search for Neutrinoless Double-Beta Decay of Te 130 with CUORE-0 journal, September 2015

Chiral Two-Body Currents in Nuclei: Gamow-Teller Transitions and Neutrinoless Double-Beta Decay journal, August 2011

Review of Particle Physics journal, October 2016

Neutrino-Less Double beta Decay and Particle Physics journal, September 2011

Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology journal, August 2017

Double beta decay journal, January 1991

Results of the search for neutrinoless double- β decay in Mo 100 with the NEMO-3 experiment journal, October 2015

Systematic decomposition of the neutrinoless double beta decay operator journal, March 2013

Renormalization group evolution of dimension-seven baryon- and lepton-number-violating operators journal, November 2016

Baryon chiral perturbation theory using a heavy fermion lagrangian journal, February 1991

Neutrinoless double β-decay without Majorana neutrinos in supersymmetric theories journal, January 1987

Towards a superformula for neutrinoless double beta decay journal, May 1999

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review journal, March 2017

Chiral lagrangians and nuclear forces journal, October 1992

Left-Right Symmetry: From the LHC to Neutrinoless Double Beta Decay journal, April 2011

Pinning Down the Mechanism of Neutrinoless Double β Decay with Measurements in Different Nuclei journal, June 2007

Neutrinoless double-beta decay: A probe of physics beyond the Standard Model journal, February 2015

Search for Majorana Neutrinos Near the Inverted Mass Hierarchy Region with KamLAND-Zen journal, August 2016

Chiral Dynamics in Nucleons and Nuclei journal, June 1995

Reparameterisation invariance constraints on heavy particle effective field theories journal, July 1992

Isospin Breaking in the Nucleon Mass and the Sensitivity of β Decays to New Physics journal, January 2014

Chiral perturbation theory to one loop journal, November 1984

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

Results on Neutrinoless Double- β Decay of Ge 76 from Phase I of the GERDA Experiment journal, September 2013

Effective chiral lagrangians for nucleon-pion interactions and nuclear forces journal, September 1991

Long-range contributions to double beta decay revisited journal, June 2016

Baryon- and Lepton-Nonconserving Processes journal, November 1979

Pionic matrix elements in neutrinoless double- β decay journal, April 1999

Leptogenesis journal, September 2008

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

Nuclear forces from chiral lagrangians journal, November 1990

Multiple-isotope comparison for determining 0νββ mechanisms journal, March 2007

Neutrinoless double-beta decay and physics beyond the standard model journal, November 2012

Neutrinoless double β decay and effective field theory journal, August 2003

Neutrino electromagnetic interactions: A window to new physics journal, June 2015

Dominance of Pion Exchange in R -Parity-Violating Supersymmetric Contributions to Neutrinoless Double Beta Decay journal, January 1997

Effective lagrangian analysis of new interactions and flavour conservation journal, May 1986

Search of Neutrinoless Double Beta Decay with the GERDA Experiment journal, April 2016

Comment on “New Limits to the Infrared Background: Bounds on Radiative Neutrino Decay and on Contributions of Very Massive Objects to the Dark Matter Problem” journal, November 1998

Modern theory of nuclear forces journal, December 2009

Limit on Neutrinoless β β Decay of Xe 136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge 76 journal, February 2013

Neutrinoless double beta decay and chiral SU (3) journal, June 2017

Double Beta Decay and Majorana Neutrino journal, January 1985

A superformula for neutrinoless double beta decay II: the short range part journal, January 2001

Initial Results from the Majorana Demonstrator journal, September 2017

On the SUSY accompanied neutrino exchange mechanism of neutrinoless double beta decay journal, April 1996

Master formulae for ΔF=2 NLO-QCD factors in the Standard Model and beyond journal, July 2001

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

Dimension-six terms in the Standard Model Lagrangian journal, October 2010

Two-loop QCD anomalous dimensions of flavour-changing four-quark operators within and beyond the Standard Model journal, October 2000

Measurement of the double-beta decay half-life and search for the neutrinoless double-beta decay of Ca 48 with the NEMO-3 detector journal, June 2016

Model independent bounds on magnetic moments of Majorana neutrinos journal, November 2006

Classification of effective neutrino mass operators journal, December 2001

Chiral quarks and the non-relativistic quark model journal, March 1984

Improved Limits on ν ¯ e Emission from μ + Decay journal, May 2003

Phenomenological Lagrangians journal, April 1979

Additional nucleon current contributions to neutrinoless double β decay journal, October 1999

Theory of neutrinoless double-beta decay journal, September 2012

Updating neutrino magnetic moment constraints journal, February 2016

Neutrinoless double beta decay from lattice QCD conference, March 2017

Latest Results from NEMO-3 & Status of the SuperNEMO Experiment journal, September 2017

Double beta decay journal, November 2004

Double beta decay journal, January 1959

Multiple-isotope comparison for determining 0νββ mechanisms journal, January 2008

Double beta decay journal, June 1988

Double beta decay journal, December 1969

Modern Theory of Nuclear Forces text, January 2008

Theory of neutrinoless double beta decay text, January 2012

Isospin breaking in the nucleon mass and the sensitivity of beta decays to new physics text, January 2013

Neutrino electromagnetic interactions: a window to new physics preprint, January 2014

Updating neutrino magnetic moment constraints text, January 2015

Long-range contributions to double beta decay revisited text, January 2016

Baryon Number, Lepton Number, and Operator Dimension in the Standard Model text, January 2016

An electroweak basis for neutrinoless double β decay
journal, August 2017

Disassembling the nuclear matrix elements of the neutrinoless ββ decay
journal, March 2009

Probing new physics models of neutrinoless double beta decay with SuperNEMO
journal, November 2010

Baryon number, lepton number, and operator dimension in the Standard Model
journal, July 2016

Search for Neutrinoless Double-Beta Decay of ${}^{130}{Te}$ with CUORE-0
journal, September 2015

Chiral Two-Body Currents in Nuclei: Gamow-Teller Transitions and Neutrinoless Double-Beta Decay
journal, August 2011

Review of Particle Physics
journal, October 2016

Neutrino-Less Double beta Decay and Particle Physics
journal, September 2011

Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- $β$ Decay Phenomenology
journal, August 2017

Double beta decay
journal, January 1991

Results of the search for neutrinoless double- $β$ decay in ${}^{100}{Mo}$ with the NEMO-3 experiment
journal, October 2015

Systematic decomposition of the neutrinoless double beta decay operator
journal, March 2013

Renormalization group evolution of dimension-seven baryon- and lepton-number-violating operators
journal, November 2016

Baryon chiral perturbation theory using a heavy fermion lagrangian
journal, February 1991

Neutrinoless double β-decay without Majorana neutrinos in supersymmetric theories
journal, January 1987

Towards a superformula for neutrinoless double beta decay
journal, May 1999

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review
journal, March 2017

Chiral lagrangians and nuclear forces
journal, October 1992

Left-Right Symmetry: From the LHC to Neutrinoless Double Beta Decay
journal, April 2011

Pinning Down the Mechanism of Neutrinoless Double $β$ Decay with Measurements in Different Nuclei
journal, June 2007

Neutrinoless double-beta decay: A probe of physics beyond the Standard Model
journal, February 2015

Search for Majorana Neutrinos Near the Inverted Mass Hierarchy Region with KamLAND-Zen
journal, August 2016

Chiral Dynamics in Nucleons and Nuclei
journal, June 1995

Reparameterisation invariance constraints on heavy particle effective field theories
journal, July 1992

Isospin Breaking in the Nucleon Mass and the Sensitivity of $β$ Decays to New Physics
journal, January 2014

Chiral perturbation theory to one loop
journal, November 1984

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

Results on Neutrinoless Double- $β$ Decay of ${}^{76}{Ge}$ from Phase I of the GERDA Experiment
journal, September 2013

Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
journal, September 1991

Long-range contributions to double beta decay revisited
journal, June 2016

Baryon- and Lepton-Nonconserving Processes
journal, November 1979

Pionic matrix elements in neutrinoless double- $β$ decay
journal, April 1999

Leptogenesis
journal, September 2008

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

Nuclear forces from chiral lagrangians
journal, November 1990

Multiple-isotope comparison for determining 0νββ mechanisms
journal, March 2007

Neutrinoless double-beta decay and physics beyond the standard model
journal, November 2012

Neutrinoless double $β$ decay and effective field theory
journal, August 2003

Neutrino electromagnetic interactions: A window to new physics
journal, June 2015

Dominance of Pion Exchange in $R$ -Parity-Violating Supersymmetric Contributions to Neutrinoless Double Beta Decay
journal, January 1997

Effective lagrangian analysis of new interactions and flavour conservation
journal, May 1986

Search of Neutrinoless Double Beta Decay with the GERDA Experiment
journal, April 2016

Comment on “New Limits to the Infrared Background: Bounds on Radiative Neutrino Decay and on Contributions of Very Massive Objects to the Dark Matter Problem”
journal, November 1998

Modern theory of nuclear forces
journal, December 2009

Limit on Neutrinoless $β β$ Decay of ${}^{136}{Xe}$ from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in ${}^{76}{Ge}$
journal, February 2013

Neutrinoless double beta decay and chiral SU (3)
journal, June 2017

Double Beta Decay and Majorana Neutrino
journal, January 1985

A superformula for neutrinoless double beta decay II: the short range part
journal, January 2001

Initial Results from the Majorana Demonstrator
journal, September 2017

On the SUSY accompanied neutrino exchange mechanism of neutrinoless double beta decay
journal, April 1996

Master formulae for ΔF=2 NLO-QCD factors in the Standard Model and beyond
journal, July 2001

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

Dimension-six terms in the Standard Model Lagrangian
journal, October 2010

Two-loop QCD anomalous dimensions of flavour-changing four-quark operators within and beyond the Standard Model
journal, October 2000

Measurement of the double-beta decay half-life and search for the neutrinoless double-beta decay of ${}^{48}{Ca}$ with the NEMO-3 detector
journal, June 2016

Model independent bounds on magnetic moments of Majorana neutrinos
journal, November 2006

Classification of effective neutrino mass operators
journal, December 2001

Chiral quarks and the non-relativistic quark model
journal, March 1984

Improved Limits on ${\bar{ν}}_{e}$ Emission from $μ^{+}$ Decay
journal, May 2003

Phenomenological Lagrangians
journal, April 1979

Additional nucleon current contributions to neutrinoless double $β$ decay
journal, October 1999

Theory of neutrinoless double-beta decay
journal, September 2012

Updating neutrino magnetic moment constraints
journal, February 2016

Neutrinoless double beta decay from lattice QCD
conference, March 2017

Latest Results from NEMO-3 & Status of the SuperNEMO Experiment
journal, September 2017

Double beta decay
journal, November 2004

Double beta decay
journal, January 1959

Multiple-isotope comparison for determining 0νββ mechanisms
journal, January 2008

Double beta decay
journal, June 1988

Double beta decay
journal, December 1969

Modern Theory of Nuclear Forces
text, January 2008

Theory of neutrinoless double beta decay
text, January 2012

Isospin breaking in the nucleon mass and the sensitivity of beta decays to new physics
text, January 2013

Neutrino electromagnetic interactions: a window to new physics
preprint, January 2014

Updating neutrino magnetic moment constraints
text, January 2015

Long-range contributions to double beta decay revisited
text, January 2016

Baryon Number, Lepton Number, and Operator Dimension in the Standard Model
text, January 2016

Renormalization Group Evolution of Dimension-seven Baryon- and Lepton-number-violating Operators
preprint, January 2016

Neutrinoless double beta decay from lattice QCD
preprint, January 2016

Neutrinoless double beta decay and chiral $SU(3)$
text, January 2017