3-10 August 2016
Chicago IL USA
US/Central timezone
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Renormalization of the mass matrix in a rephasing invariant parametrization

Aug 6, 2016, 6:00 PM
Riverwalk A/B

Riverwalk A/B

Poster Quark and Lepton Flavor Physics Poster Session


Shao-Hsuan Chiu (Chang Gung University, Taiwan)


It was pointed out that six rephasing invariant combinations can be constructed from elements of the CKM matrix $V$: $\Gamma_{ijk}=V_{1i}V_{2j}V_{3k}=R_{ijk}-iJ$, where $(i,j,k)$ is cyclic permutation of $(1,2,3)$, $R_{ijk}$ is the real part, and the common imaginary part $J$ is identified with the Jarlskog invariant. In terms of this rephasing invariant parametrization, the set of renormalization group equations (RGE) for the parameters of the mass matrix can be cast in a compact and simple form. In addition, these equations are shown to exhibit manifest symmetry under flavor permutation. We discuss approximate RGE invariants and solutions. Examples of numerical solutions are also provided.

Primary author

Shao-Hsuan Chiu (Chang Gung University, Taiwan)


T K Kuo (Purdue University)

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