Improved lattice computation of proton decay matrix elements
Abstract
In this paper, we present an improved result for the lattice computation of the proton decay matrix elements in Nf = 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 Nf= 2 + 1 domain-wall fermions with mπ = 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.
- Authors:
-
- 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
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1413938
- Report Number(s):
- BNL-114705-2017-JA
Journal ID: ISSN 2470-0010; PRVDAQ; KA2401012; TRN: US1800594
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 1; 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; QCD; proton; decay; baryon; gluon; fermion; dark matter; chiral; perturbation
Citation Formats
Aoki, Yasumichi, Izubuchi, Taku, Shintani, Eigo, and Soni, Amarjit. Improved lattice computation of proton decay matrix elements. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.96.014506.
Aoki, Yasumichi, Izubuchi, Taku, Shintani, Eigo, & Soni, Amarjit. Improved lattice computation of proton decay matrix elements. United States. https://doi.org/10.1103/PhysRevD.96.014506
Aoki, Yasumichi, Izubuchi, Taku, Shintani, Eigo, and Soni, Amarjit. Fri .
"Improved lattice computation of proton decay matrix elements". United States. https://doi.org/10.1103/PhysRevD.96.014506. https://www.osti.gov/servlets/purl/1413938.
@article{osti_1413938,
title = {Improved lattice computation of proton decay matrix elements},
author = {Aoki, Yasumichi and Izubuchi, Taku and Shintani, Eigo and Soni, Amarjit},
abstractNote = {In this paper, we present an improved result for the lattice computation of the proton decay matrix elements in Nf = 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 Nf= 2 + 1 domain-wall fermions with mπ = 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.},
doi = {10.1103/PhysRevD.96.014506},
journal = {Physical Review D},
number = 1,
volume = 96,
place = {United States},
year = {Fri Jul 14 00:00:00 EDT 2017},
month = {Fri Jul 14 00:00:00 EDT 2017}
}
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