用直接量測物理量表述CKM矩陣與夸克-輕子互補性研究

林修賢

doi:10.6342/NTU.2013.00615

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用直接量測物理量表述CKM矩陣與夸克-輕子互補性研究

Parameterizations of CKM Matrix and Quark-Lepton Complementarity using Direct Measurable Quantities

林修賢 , Masters　　Advisor：何小剛　　

英文 DOI： 10.6342/NTU.2013.00615

參數化； CP 破壞； CKM 矩陣；么正；夸克混合；輕子混合；二次參數不變性； parameterization ； CP violation ； CKM matrix ； unitarity ； quark mixing ； lepton mixing ； reparameterization invariance

Abstract │ Reference (249) │ Altmetrics

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In the most of parameterizations for Cabibbo-Kobayashi-Masjawa (CKM) matrix,the mixing angles and CP violating phase chosen are not direct measurable quantities and depend on parametrizations. Using the measurable quantities to
study the CKM matrix would be interesting. In this thesis, we propose to use experimentally measurable CP violating quantities, α, β or γ in the unitarity triangle as the phase in the CKM matrix, and construct explicit α, β and γ parameterizations. Approximate Wolfenstein-like expressions are also suggested. Since β is the most accurately measured among these three phase angles, we therefore consider the β parameterization the best one to use. Moreover, it is fascinating to research the connection between quark and lepton mixing. We also study the Quark-Lepton Complementarity (QLC) between mixing angles, the sum of an angle in quark mixing and the corresponding angle in lepton mixing is π/4. Experimentally in the CK parameterization, two such relations exist approximately. However, these QLC relations are accidental which only manifest themselves in the CK parameterization. We propose reparameterization invariant expressions for the complementarity relations
in terms of the magnitude of the elements in the quark and lepton mixing matrices. In the exact QLC limit, it is found that |Vus/Vud|+|Ve2/Ve1|+|Vus/Vud||Ve2/Ve1| = 1
and |Vcb/Vtb| + |Vμ3/Vτ3| + |Vcb/Vtb||Vμ3/Vτ3| = 1. Expressions with deviations from exact complementarity are obtained. Implications of these relations are also discussed.

Reference ( 249 ) 〈TOP〉

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[5] J. Beringer et al. [Particle Data Group], Phys. Rev. D86, 010001 (2012).
連結：

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