Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-03-24
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 3 figures as eps-file. Invited talk at 2nd Workshop on Neutrino Oscillations and Their Origin (NOON 2000), Tokyo, Ja
Scientific paper
We present a GUT-model-independent calculation of hadron matrix elements for all dimension-six operators associated with baryon number violating processes using lattice QCD. Our results cover all the matrix elements required to estimate the partial lifetimes of (proton,neutron)$\to$($\pi,K,\eta$) +(${\bar \nu},e^+,\mu^+$) decay modes. We point out the necessity of disentangling two form factors that contribute to the matrix elements; previous calculations did not make the separation, which led to an underestimate of the physical matrix elements. With a correct separation, we find that the matrix elements have values 3-5 times larger than the smallest estimates employed in phenomenological analyses of the nucleon decays, which gives stronger constraints on GUT models. We also find that the values of the matrix elements are comparable with the tree-level predictions of chiral Lagrangian.
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