Research Notes for Particle Physicists （研究ノート）

Mass Matrix and its Related Formulae

Version 2008.12.19 (pp.83; 335KB)

Abstract

For investigating a realistic model of the quarks and leptons, the phenomenological studies of the masses and mixings will provide a promissing clue. Many researchers have been reported along this line, and also, many useful formulae for the mass matrix calculations have found. The purpose of the present note is not to discuss the physics on such the mass matrix models, but to give a list of collected mass matrix formulae for convenience of the model-builders.

The first version: 2007.07.07

Updated version; 2008.08.21: Chap.1 revised; Chaps.2 & 13 added.

Typo in Eq.(4.2.10) was corrected. (08/09/03)

Typo in Eq.(3.3.5) was corrected. (08/09/29)

Sec.4.6 added. (08/10/31)

Typo in Eq.(13.5.6) was corrected. (08/11/06)

Eqs.(3.3.2) and (3.3.5) were corrected. (08/12/19)