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RESEARCH PRODUCT
On the corner elements of the CKM and PMNS matrices
José BordesChan Hong-moMichael J. BakerTsou Sheung Tsunsubject
PhysicsParticle physicsUnitarityCabibbo–Kobayashi–Maskawa matrixGeneral Physics and AstronomyMass matrixPartícules (Física nuclear)CombinatoricsStrong CP ProblemMatrix (mathematics)Rotating Mass MatrixStrong CP problemFísica nuclearHiggs Decaydescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-05-01 |