Volume 102, Number 4, May 2013
|Number of page(s)||6|
|Section||The Physics of Elementary Particles and Fields|
|Published online||11 June 2013|
On the corner elements of the CKM and PMNS matrices
1 Departament Fisica Teorica and IFIC, Centro Mixto CSIC, Universitat de Valencia - Calle Dr. Moliner 50, E-46100 Burjassot (Valencia), Spain, EU
2 Rutherford Appleton Laboratory - Chilton, Didcot, Oxon, OX11 0QX, UK, EU
3 Mathematical Institute, University of Oxford - 24-29 St. Giles', Oxford, OX1 3LB, UK, EU
Received: 7 April 2013
Accepted: 15 May 2013
Recent experiments show that the top-right corner element (Ue3) of the PMNS matrix is small but nonzero, and suggest further via unitarity that it is smaller than the bottom-left corner element (Uτ1). 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 mc/mt,ms/mb,mμ/mτ, and m2/m3, i) the corner elements are small but nonzero, ii) V ub < V td, Ue3 < Uτ1, iii) estimates result for the ratios V ub/V td and Ue3/Uτ1, and B) by inputting further the experimental values of V us,V tb and Ue2, Uμ3, 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.
PACS: 12.15.Ff – Quark and lepton masses and mixing / 14.60.Pq – Neutrino mass and mixing
© EPLA, 2013
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.