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

CP-PACS Collaboration

Tsutsui N

Aoki S

Fukugita M

Hashimoto S

Ishikawa Kenichi

Ishizuka N

Iwasaki Y

Kanaya K

Kaneko T

Kuramashi Y

Okawa Masanori

Onogi T

Taniguchi Y

Ukawa A

Yoshié T

Physical Review D

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[approximate]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,2 GeV)|=0.0090(09)(+5-19) GeV3 and |beta(NDR,2 GeV)|=0.0096(09)(+6-20) GeV3 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.

Physics [ 420 ]

eng

The American Physical Society

Copyright (c) 2004 The American Physical Society

[ISSN] 1550-7998

[DOI] http://dx.doi.org/10.1103/PhysRevD.70.111501 isVersionOf