Lattice QCD calculation of the proton decay matrix element in the continuum limit

Details Lattice QCD calculation of the proton decay matrix element in the continuum limit Lattice QCD calculation of the proton decay matrix element in the continuum limit

2004-02-23

arxiv.org/abs/hep-lat/0402026v1

Phys.Rev. D70 (2004) 111501

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 3 figures

Scientific paper

10.1103/PhysRevD.70.111501

We present a quenched lattice QCD calculation of the \alpha and \beta parameters of the proton decay matrix element. The simulation is carried out using the Wilson quark action at three values of the lattice spacing in the range a\approx 0.1-0.064 fm to study the scaling violation effect. We find only mild scaling violation when the lattice scale is determined by the nucleon mass. We obtain in the continuum limit, |\alpha(NDR,2GeV)|=0.0090(09)(^{+5}_{-19})GeV^3 and |\beta(NDR,2GeV)|=0.0096(09)(^{+6}_{-20})GeV^3 with \alpha and \beta in a relatively opposite sign, where the first error is statistical and the second is due to the uncertainty in the determination of the physical scale.

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