A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model
Abstract
We present a modified version of the Koide formula from a scalar potential model or from a Yukawaon model, based on scalar fields set up in a nonet representation of the SU (3) flavor symmetry in the Standard Model. The Koide's character, which involves the Standard Model fermion mass ratios, is derived from the vacuum expectation value of the nonet field in either model. The scalar potential in the scalar potential model or the superpotential in the Yukawaon model is constructed with all terms invariant under symmetries. The resulting Koide's character, which is modified by two effective parameters, can fit the experimental mass data of charged leptons, up quarks and down quarks. It offers a natural interpretation of the Standard Model fermion mass spectrum.
 Publication:

Nuclear Physics B
 Pub Date:
 November 2021
 DOI:
 10.1016/j.nuclphysb.2021.115546
 arXiv:
 arXiv:2007.05878
 Bibcode:
 2021NuPhB.97215546L
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 17 pages. v2: The introduction is rewritten with a complete review. Section 2 and 3 are presented more clearly. v3: The distinction between mass singular values and eigenvalues is clarified. v4: Quark mass ratios excluding QCD renormalization factors are used to calculate the Koide's character for quarks in concluding remarks. Typos. Nucl.Phys.B prepublication version