@article{oai:tsukuba.repo.nii.ac.jp:00007771,
 author = {Tsutsui, N. and Aoki, S. and Fukugita, M. and Hashimoto, S. and Ishikawa, K-I. and Ishizuka, N. and Iwasaki, Y. and 岩崎, 洋一 and Kanaya, K. and Kaneko, T. and Kuramashi, Y. and Okawa, M. and Onogi, T. and Taniguchi, Y. and Ukawa, A. and 宇川, 彰 and Yoshie, T.},
 issue = {11},
 journal = {Physical review D},
 month = {Dec},
 note = {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≈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, |α(NDR, 2 GeV)| =0.0090(09)(+5-19) GeV^3 and |β(NDR, 2 GeV)| =0.0096(09)(+6-20) GeV^3 with α and β 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.},
 title = {Lattice QCD calculation of the proton decay matrix element in the continuum limit},
 volume = {70},
 year = {2004}
}