Improved lattice computation of proton decay matrix elements

Improved lattice computation of proton decay matrix elements 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 [1]. We improve the total accuracy of matrix elements to 10–15% from 30–40% for p→πe+ or from 20–40% for p→Kν¯. 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. We also discuss the use of these parameters in a dark matter model. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Improved lattice computation of proton decay matrix elements

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Improved lattice computation of proton decay matrix elements

Abstract

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 [1]. We improve the total accuracy of matrix elements to 10–15% from 30–40% for p→πe+ or from 20–40% for p→Kν¯. 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. We also discuss the use of these parameters in a dark matter model.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.014506
Publisher site
See Article on Publisher Site

Abstract

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 [1]. We improve the total accuracy of matrix elements to 10–15% from 30–40% for p→πe+ or from 20–40% for p→Kν¯. 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. We also discuss the use of these parameters in a dark matter model.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 1, 2017

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