Improved lattice computation of proton decay matrix elements

Aoki, Yasumichi; Izubuchi, Taku; Shintani, Eigo; Soni, Amarjit

doi:10.1103/PhysRevD.96.014506

Title: Improved lattice computation of proton decay matrix elements

Journal Article · Fri Jul 14 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.96.014506· OSTI ID:1413938

Aoki, Yasumichi ^[1]; Izubuchi, Taku ^[2]; Shintani, Eigo ^[3]; Soni, Amarjit ^[4]

High Energy Accelerator Research Organization (KEK), Tsukuba (Japan); Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center and High Energy Theory Group
RIKEN Advanced Institute for Computational Science, Kobe (Japan)
Brookhaven National Lab. (BNL), Upton, NY (United States). High Energy Theory Group

In this paper, we present an improved result for the lattice computation of the proton decay matrix elements in N_f = 2 + 1 QCD. In this study, by adopting the error reduction technique of all-mode-averaging, a significant improvement of the statistical accuracy is achieved for the relevant form factor of proton (and also neutron) decay on the gauge ensemble of N_f= 2 + 1 domain-wall fermions with m_π = 0.34 – 0.69 GeV on a 2.7 fm³ lattice, as used in our previous work. We improve the total accuracy of matrix elements to 10–15% from 30–40% for p → πe⁺ or from 20–40% for p → K$$\bar{ν}$$. The accuracy of the low-energy constants α and β in the leading-order baryon chiral perturbation theory (BChPT) of proton decay are also improved. The relevant form factors of p → π estimated through the “direct” lattice calculation from the three-point function appear to be 1.4 times smaller than those from the “indirect” method using BChPT with α and β . It turns out that the utilization of our result will provide a factor 2–3 larger proton partial lifetime than that obtained using BChPT. Lastly, we also discuss the use of these parameters in a dark matter model.

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

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

Grant/Contract Number:: SC0012704

OSTI ID:: 1413938

Report Number(s):: BNL-114705-2017-JA; PRVDAQ; KA2401012; TRN: US1800594

Journal Information:: Physical Review D, Vol. 96, Issue 1; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 79 works

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References (65)

A scenario of heavy but visible baryonic dark matter Huo, Ran; Matsumoto, Shigeki; Tsai, Yue-Lin Sming Journal of High Energy Physics, Vol. 2016, Issue 9 https://doi.org/10.1007/JHEP09(2016)162	journal	September 2016
Threshold corrections to dimension-six proton decay operators in non-minimal SUSY SU (5) GUTs Bajc, Borut; Hisano, Junji; Kuwahara, Takumi Nuclear Physics B, Vol. 910 https://doi.org/10.1016/j.nuclphysb.2016.06.017	journal	September 2016
Unified Origin for Baryonic Visible Matter and Antibaryonic Dark Matter Davoudiasl, Hooman; Morrissey, David E.; Sigurdson, Kris Physical Review Letters, Vol. 105, Issue 21 https://doi.org/10.1103/PhysRevLett.105.211304	journal	November 2010
Continuum limit physics from $2 + 1$ flavor domain wall QCD Aoki, Y.; Arthur, R.; Blum, T. Physical Review D, Vol. 83, Issue 7 https://doi.org/10.1103/PhysRevD.83.074508	journal	April 2011
Yukawa sector of minimal SO(10) unification Babu, K. S.; Bajc, Borut; Saad, Shaikh Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)136	journal	February 2017
Chiral lagrangian for deep mine physics Claudson, Mark; Wise, Mark B.; Hall, Lawrence J. Nuclear Physics B, Vol. 195, Issue 2 https://doi.org/10.1016/0550-3213(82)90401-1	journal	February 1982
Proton decay matrix elements with domain-wall fermions Aoki, Y.; Dawson, C.; Noaki, J. Physical Review D, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevD.75.014507	journal	January 2007
Search for proton decay via $p \to ν K^{+}$ using $260 kiloton \cdot year$ data of Super-Kamiokande Abe, K.; Hayato, Y.; Iyogi, K. Physical Review D, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevD.90.072005	journal	October 2014
Covariant approximation averaging Shintani, Eigo; Arthur, Rudy; Blum, Thomas Physical Review D, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevD.91.114511	journal	June 2015
New class of SO(10) models for flavor Babu, K. S.; Bajc, Borut; Saad, Shaikh Physical Review D, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevD.94.015030	journal	July 2016
Proton lifetime bounds from chirally symmetric lattice QCD Aoki, Y.; Boyle, P.; Cooney, P. Physical Review D, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevD.78.054505	journal	September 2008
Domain wall QCD with near-physical pions Arthur, R.; Blum, T.; Boyle, P. A. Physical Review D, Vol. 87, Issue 9 https://doi.org/10.1103/PhysRevD.87.094514	journal	May 2013
New class of variance-reduction techniques using lattice symmetries Blum, Thomas; Izubuchi, Taku; Shintani, Eigo Physical Review D, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevD.88.094503	journal	November 2013
Lattice study of the nucleon excited states with domain wall fermions Sasaki, Shoichi; Blum, Tom; Ohta, Shigemi Physical Review D, Vol. 65, Issue 7 https://doi.org/10.1103/PhysRevD.65.074503	journal	March 2002
Proton decay matrix elements on the lattice Aoki, Y.; Shintani, E.; Soni, A. Physical Review D, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevD.89.014505	journal	January 2014
Nucleon wave functions from lattice-gauge theories Bowler, K. C.; Daniel, D.; Kieu, T. D. Nuclear Physics B, Vol. 296, Issue 2 https://doi.org/10.1016/0550-3213(88)90679-7	journal	January 1988
Nucleon matrix elements from lattice QCD with all-mode-averaging and a domain-decomposed solver: An exploratory study von Hippel, Georg; Rae, Thomas D.; Shintani, Eigo Nuclear Physics B, Vol. 914 https://doi.org/10.1016/j.nuclphysb.2016.11.003	journal	January 2017
Nucleon decay via dimension-6 operators in the E6 x SU(2)F x U(1)A SUSY GUT model Maekawa, N.; Muramatsu, Y. Progress of Theoretical and Experimental Physics, Vol. 2014, Issue 11 https://doi.org/10.1093/ptep/ptu150	journal	November 2014
Asymmetric dark matter Kaplan, David E.; Luty, Markus A.; Zurek, Kathryn M. Physical Review D, Vol. 79, Issue 11 https://doi.org/10.1103/PhysRevD.79.115016	journal	June 2009
A lattice computation of proton-decay amplitudes Gavela, M. B.; King, S. F.; Sachrajda, C. T. Nuclear Physics B, Vol. 312, Issue 2 https://doi.org/10.1016/0550-3213(89)90297-6	journal	January 1989
Operator Analysis of Nucleon Decay Wilczek, Frank; Zee, A. Physical Review Letters, Vol. 43, Issue 21 https://doi.org/10.1103/PhysRevLett.43.1571	journal	November 1979
Nucleon distribution amplitudes and proton decay matrix elements on the lattice Braun, Vladimir M.; Göckeler, Meinulf; Horsley, Roger Physical Review D, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevD.79.034504	journal	February 2009
Threshold corrections to baryon number violating operators in supersymmetric $SU (5)$ GUTs Hisano, Junji; Kuwahara, Takumi; Omura, Yuji Nuclear Physics B, Vol. 898 https://doi.org/10.1016/j.nuclphysb.2015.06.022	journal	September 2015
The super-GUT CMSSM revisited Ellis, John; Evans, Jason L.; Mustafayev, Azar The European Physical Journal C, Vol. 76, Issue 11 https://doi.org/10.1140/epjc/s10052-016-4437-6	journal	October 2016
Two loop unification of non-SUSY SO(10) GUT with TeV scalars Brennan, T. Daniel Physical Review D, Vol. 95, Issue 6 https://doi.org/10.1103/PhysRevD.95.065008	journal	March 2017
Renormalizable SU(5) unification Fileviez Pérez, Pavel; Murgui, Clara Physical Review D, Vol. 94, Issue 7 https://doi.org/10.1103/PhysRevD.94.075014	journal	October 2016
Effective Hamiltonian for nucleon decay Abbott, L. F.; Wise, Mark B. Physical Review D, Vol. 22, Issue 9 https://doi.org/10.1103/PhysRevD.22.2208	journal	November 1980
Resurrecting the minimal renormalizable supersymmetric SU(5) model Bajc, Borut; Lavignac, Stéphane; Mede, Timon Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)044	journal	January 2016
GUTzilla dark matter Harigaya, Keisuke; Lin, Tongyan; Lou, Hou Keong Journal of High Energy Physics, Vol. 2016, Issue 9 https://doi.org/10.1007/JHEP09(2016)014	journal	September 2016
Beyond the CMSSM without an accelerator: proton decay and direct dark matter detection Ellis, John; Evans, Jason L.; Luo, Feng The European Physical Journal C, Vol. 76, Issue 1 https://doi.org/10.1140/epjc/s10052-015-3842-6	journal	January 2016
Neutrino masses, grand unification, and baryon number violation de Gouvêa, André; Herrero-García, Juan; Kobach, Andrew Physical Review D, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevD.90.016011	journal	July 2014
SU(5) unification with TeV-scale leptoquarks Cox, Peter; Kusenko, Alexander; Sumensari, Olcyr Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)035	journal	March 2017
Baryon destruction by asymmetric dark matter Davoudiasl, Hooman; Morrissey, David E.; Sigurdson, Kris Physical Review D, Vol. 84, Issue 9 https://doi.org/10.1103/PhysRevD.84.096008	journal	November 2011
Nucleon decay via dimension-6 operators in anomalous $U (1)_{A}$ supersymmetric GUT Maekawa, Nobuhiro; Muramatsu, Yu Physical Review D, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevD.88.095008	journal	November 2013
Nucleon decay matrix elements from lattice QCD Aoki, S.; Fukugita, M.; Hashimoto, S. Physical Review D, Vol. 62, Issue 1 https://doi.org/10.1103/PhysRevD.62.014506	journal	June 2000
Proton decay and lattice QCD Hara, Yasuo; Itoh, Satoshi; Iwasaki, Yoichi Physical Review D, Vol. 34, Issue 11 https://doi.org/10.1103/PhysRevD.34.3399	journal	December 1986
Dark matter and gauge coupling unification in nonsupersymmetric SO(10) grand unified models Mambrini, Yann; Nagata, Natsumi; Olive, Keith A. Physical Review D, Vol. 91, Issue 9 https://doi.org/10.1103/PhysRevD.91.095010	journal	May 2015
SU(5) grand unification in pure gravity mediation Evans, Jason L.; Nagata, Natsumi; Olive, Keith A. Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.055027	journal	March 2015
Domain wall QCD with physical quark masses Blum, T.; Boyle, P. A.; Christ, N. H. Physical Review D, Vol. 93, Issue 7 https://doi.org/10.1103/PhysRevD.93.074505	journal	April 2016
Nonperturbative proton stability Martin, Adam; Stavenga, Gerben C. Physical Review D, Vol. 85, Issue 9 https://doi.org/10.1103/PhysRevD.85.095010	journal	May 2012
Erratum to “Threshold corrections to baryon number violating operators in supersymmetric SU(5) GUTs” [Nucl. Phys. B 898 (2015) 1–29] Hisano, Junji; Kuwahara, Takumi; Omura, Yuji Nuclear Physics B, Vol. 907 https://doi.org/10.1016/j.nuclphysb.2016.04.021	journal	June 2016
Nucleon Decay into a Dark Sector Davoudiasl, Hooman Physical Review Letters, Vol. 114, Issue 5 https://doi.org/10.1103/PhysRevLett.114.051802	journal	February 2015
Lattice QCD calculation of the proton decay matrix element in the continuum limit Tsutsui, N.; Aoki, S.; Fukugita, M. Physical Review D, Vol. 70, Issue 11 https://doi.org/10.1103/PhysRevD.70.111501	journal	December 2004
Baryon- and Lepton-Nonconserving Processes Weinberg, Steven Physical Review Letters, Vol. 43, Issue 21 https://doi.org/10.1103/PhysRevLett.43.1566	journal	November 1979
Search for Proton Decay via $p \to e^{+} π^{0}$ and $p \to μ^{+} π^{0}$ in a Large Water Cherenkov Detector Nishino, H.; Clark, S.; Abe, K. Physical Review Letters, Vol. 102, Issue 14 https://doi.org/10.1103/PhysRevLett.102.141801	journal	April 2009
Nucleon distribution amplitudes and proton decay matrix elements on the lattice Braun, Vladimir M.; Göckeler, Meinulf; Horsley, Roger Universität Regensburg https://doi.org/10.5283/epub.13552	text	January 2009
Nucleon Decay Matrix Elements from Lattice QCD Kuramashi, Yoshinobu Proceedings of the 2nd International Workshop, Neutrino Oscillations and Their Origin https://doi.org/10.1142/9789812810786_0029	conference	November 2011
Proton lifetime bounds from chirally symmetric lattice QCD Aoki, Y.; Boyle, P.; Cooney, P. arXiv https://doi.org/10.48550/arxiv.0806.1031	text	January 2008
Baryon Destruction by Asymmetric Dark Matter Davoudiasl, Hooman; Morrissey, David E.; Sigurdson, Kris arXiv https://doi.org/10.48550/arxiv.1106.4320	text	January 2011
Non-perturbative proton stability Martin, Adam; Stavenga, Gerben C. arXiv https://doi.org/10.48550/arxiv.1110.2188	text	January 2011
A new class of variance reduction techniques using lattice symmetries Blum, Thomas; Izubuchi, Taku; Shintani, Eigo arXiv https://doi.org/10.48550/arxiv.1208.4349	text	January 2012
Domain Wall QCD with Near-Physical Pions Collaboration, Rbc; Collaboration, Ukqcd; Arthur, R. arXiv https://doi.org/10.48550/arxiv.1208.4412	text	January 2012
Proton decay matrix elements on the lattice Aoki, Y.; Shintani, E.; Soni, A. arXiv https://doi.org/10.48550/arxiv.1304.7424	text	January 2013
Covariant approximation averaging Shintani, Eigo; Arthur, Rudy; Blum, Thomas arXiv https://doi.org/10.48550/arxiv.1402.0244	text	January 2014
Neutrino Masses, Grand Unification, and Baryon Number Violation de Gouvea, Andre; Herrero-Garcia, Juan; Kobach, Andrew arXiv https://doi.org/10.48550/arxiv.1404.4057	text	January 2014
Threshold Corrections to Baryon Number Violating Operators in Supersymmetric SU(5) GUTs Hisano, Junji; Kuwahara, Takumi; Omura, Yuji arXiv https://doi.org/10.48550/arxiv.1503.08561	text	January 2015
Two Loop Unification of Non-SUSY SO(10) GUT with TeV Scalars Brennan, T. Daniel arXiv https://doi.org/10.48550/arxiv.1503.08849	text	January 2015
A scenario of heavy but visible baryonic dark matter Huo, Ran; Matsumoto, Shigeki; Tsai, Yue-Lin Sming arXiv https://doi.org/10.48550/arxiv.1506.06929	text	January 2015
Resurrecting the minimal renormalizable supersymmetric SU(5) model Bajc, Borut; Lavignac, Stéphane; Mede, Timon arXiv https://doi.org/10.48550/arxiv.1509.06680	text	January 2015
Beyond the CMSSM without an Accelerator: Proton Decay and Direct Dark Matter Detection Ellis, John; Evans, Jason L.; Luo, Feng arXiv https://doi.org/10.48550/arxiv.1509.08838	text	January 2015
Nucleon matrix elements from lattice QCD with all-mode-averaging and a domain-decomposed solver: an exploratory study von Hippel, Georg; Rae, Thomas D.; Shintani, Eigo arXiv https://doi.org/10.48550/arxiv.1605.00564	text	January 2016
The Super-GUT CMSSM Revisited Ellis, John; Evans, Jason L.; Mustafayev, Azar arXiv https://doi.org/10.48550/arxiv.1608.05370	text	January 2016
A Lattice Study of the Nucleon Excited States with Domain Wall Fermions Sasaki, Shoichi; Blum, Tom; Ohta, Shigemi arXiv https://doi.org/10.48550/arxiv.hep-lat/0102010	text	January 2001
Lattice QCD calculation of the proton decay matrix element in the continuum limit Collaborations, Jlqcd; Tsutsui, N.; Aoki, S. arXiv https://doi.org/10.48550/arxiv.hep-lat/0402026	text	January 2004
Proton decay matrix elements with domain-wall fermions Aoki, Y.; Dawson, C.; Noaki, J. arXiv https://doi.org/10.48550/arxiv.hep-lat/0607002	text	January 2006

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