Lattice QCD calculation of the proton decay matrix element in the continuum limit
- High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801 (Japan)
- Institute of Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8571 (Japan)
- Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582 (Japan)
- Department of Physics, Hiroshima University, Higashi-Hiroshima, Hiroshima 739-8526 (Japan)
- Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)
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_equal}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, vertical bar {alpha}(NDR,2 GeV) vertical bar=0.0090(09)(+5-19) GeV{sup 3} and vertical bar{beta}(NDR,2 GeV)vertical bar=0.0096(09)(+6-20) GeV{sup 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.
- OSTI ID:
- 20698084
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 11; Other Information: DOI: 10.1103/PhysRevD.70.111501; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA). CP-PACS and JLQCD Collaborations; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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