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 and Bagger and Wess [2], J. Conway and S. Norton [3] and T.Eguchi, H.Ooguri and Y.Tachikawa [4] laid down the mathematical basics. We present here the extension of our previous paper [1] by including the supersymmetry in addition to the modular symmetry [1], [4]. 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 (3.7). We define the two valued modular function of degree K in equation (3.2). 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, where 2K is the level of the two valued modular function. 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 "M_{e,s} = 24.73MeV", which is approximately 25 times that of electron. The Super d, s and b quark masses are 0GeV, 89.165GeV, and 2964.7GeV. 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.
Related
- The conformal origin of the lepton flavor mixing matrix
- When can decoherence reveal a Majorana phase? A phase-covariance no-go theorem for two-flavor neutrino oscillations
- Symmetry topological field theory for flavor symmetry
- Flavor decomposition of electromagnetic multipole moments in [q1q2][q¯3c¯] tetraquarks: Light-quark analogs of Tcs1(2900)0 with JP=1+
- Charged Lepton Flavor Violation: A Theory Overview
BibTeX
@misc{sugawara2026application,
title = {{Application of flavor moonshine}},
author = {Hirotaka Sugawara},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.22744},
eprint = {2607.22744},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.22744},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Application of flavor moonshine
AU - Hirotaka Sugawara
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2607.22744
UR - https://arxiv.org/abs/2607.22744
AB - In our previous paper [1], we presented the application of Moonshine to the flavor physics based on the work of Cohn and Deutsch and Bagger and Wess [2], J. Conway and S. Norton [3] and T.Eguchi, H.Ooguri and Y.Tachikawa [4] laid down the mathematical basics. We present here the extension of our previous paper [1] by including the supersymmetry in addition to the modular symmetry [1], [4]. 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 (3.7). We define the two valued modular function of degree K in equation (3.2). 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, where 2K is the level of the two valued modular function. 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 "M_{e,s} = 24.73MeV", which is approximately 25 times that of electron. The Super d, s and b quark masses are 0GeV, 89.165GeV, and 2964.7GeV. 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.
ER -