2008/06/05 by Yasumichi Aoki, Y. Aoki, P. Boyle +11 · 6 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1103/physrevd.78.054505
published as Phys.Rev.D78:054505,2008 · 17 pages, 9 Figures
arxiv created 2008/06/05 · openalex publication_date 2008/09/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present results for the matrix elements relevant for proton decay in grand unified theories (GUTs). The calculation is performed at a fixed lattice spacing a^\ensuremath-1=1.73(3) GeV using 2+1 flavors of domain-wall fermions on lattices of size 163\ifmmode×\else\texttimes\fi32 and 243\ifmmode×\else\texttimes\fi64 with a fifth dimension of length 16. We use the indirect method which relies on an effective field theory description of proton decay, where we need to estimate the low-energy constants, \ensuremathα=\ensuremath-0.0112(25) GeV3 and \ensuremathβ=0.0120(26) GeV3. We relate these low-energy constants to the proton decay matrix elements using leading order chiral perturbation theory. These can then be combined with experimental bounds on the proton lifetime to bound parameters of individual GUTs.