Proton lifetime bounds from chirally symmetric lattice QCD

Details Proton lifetime bounds from chirally symmetric lattice QCD Proton lifetime bounds from chirally symmetric lattice QCD

2008-06-05

arxiv.org/abs/0806.1031v1

Phys.Rev.D78:054505,2008

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages, 9 Figures

Scientific paper

10.1103/PhysRevD.78.054505

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^{-1}=1.73(3) GeV using 2+1 flavors of domain wall fermions on lattices of size 16^3\times32 and 24^3\times64 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, \alpha = -0.0112(25) GeV^3 and \beta = 0.0120(26) GeV^3. 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.

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