@Article{Baker_etal2013, author="Baker, M. J. and Bordes, J. and Hong-Mo, C. and Tsun, T. S.", title="On the corner elements of the CKM and PMNS matrices", journal="Europhysics Letters", year="2013", publisher="Epl Association, European Physical Society", volume="102", number="4", pages="41001--6pp", abstract="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.", optnote="WOS:000321118600014", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1511), last updated on Mon, 26 Aug 2013 10:36:12 +0000", issn="0295-5075", doi="10.1209/0295-5075/102/41001", opturl="http://arxiv.org/abs/1110.3951", opturl="https://doi.org/10.1209/0295-5075/102/41001", archivePrefix="arXiv", eprint="1110.3951", language="English" }