On the corner elements of the CKM and PMNS matrices
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On the corner elements of the CKM and PMNS matrices

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On the corner elements of the CKM and PMNS matrices

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Baker, Michael J.; Bordes Villagrasa, José M.; Chan, Hong-Mo; Tsou, Sheung Tsun
Aquest document és un/a article, creat/da en: 2013

Este documento está disponible también en : http://dx.doi.org/10.1209/0295-5075/102/41001
Recent experiments show that the top-right corner element (U-e3) of the PMNS matrix is small but nonzero, and suggest further via unitarity that it is smaller than the bottom-left corner element (U-tau 1). Here, it is shown that if to the assumption of a universal rank-one mass matrix, long favoured by phenomenologists, one adds that this matrix rotates with scale, then it follows that A) by inputting the mass ratios m(c)/m(t), m(s)/m(b), m(mu)/m(tau), and m(2)/m(3), i) the corner elements are small but nonzero, ii) V-ub < V-td, U-e3 < U-tau 1, iii) estimates result for the ratios V-ub/V-td and U-e3/U-tau 1, and B) by inputting further the experimental values of V-us, V-tb and U-e2, U-mu 3, iv) estimates result for the values of the corner elements themselves. All the inequalities and estimates obtained are consistent with present data within expectation for the approximations made.

    Baker, Michael J. Bordes Villagrasa, José M.. Hong-Mo, C. Tsun, T.S. 2013 On the corner elements of the CKM and PMNS matrices Europhysics Letters 102 4 41001
http://dx.doi.org/10.1209/0295-5075/102/41001
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