Application of flavor moonshine

Abstract

In our previous paper [1], we presented the application of Moonshine to the flavor physics based on the work of Cohn and Deutsch [2] and Bagger and West. Conway and S. Norton [3] and T.Eguchi, H.Ooguri and Y.Tachikawa[4]. We present here the extension of our previous paper [1] by including the supersymmetry and the modular symmetry. We calculate all the lepton masses and the quark masses and their super partner masses by using the one input particle mass for each family. The two valued modular function is defined in equation(7). We define the two valued modular function of degree K in equation (7). We use K = 1 two valued modular function for the charged leptons and k = 2 two valued modular function for the neutrino and for the up quarks and k = 3 two valued modular function for the down quarks. We emphasize that we have three particle masses which can be measured by the existing accelerators such as KEK B factory or CERN LHC. One is super electron mass "Me,s =847 MeV" which is slightly lower than the proton mass. The Super d, s and b quark masses are 0 GeV, 5.56 GeV, and 2193.4 GeV. Super down quark mass is 0 and super strange quark mass can be measured both in KEKB and in CERN LHC. The super bottom quark mass can be measured only in LHC.