Abstract
We show that the main features of the pattern of fermion masses and mixing can be expressed in terms of simple relations among weak-basis invariants. In the quark sector, we identify the weak-basis invariants which signal the observed alignment of the up and down quark mass matrices in flavour space. In the lepton sector, we indicate how a set of conditions on weak-basis invariants can lead to the observed pattern of leptonic mixing, including the recent measurement of Ue3 by the Daya Bay Collaboration. We also show the usefulness of these invariants in the study of specific ansätze for the flavour structure of fermion mass matrices.
Highlights
In the past few years there has been a remarkable progress in the determination of fermion masses and mixing [1], involving advances both in theory and experiment
The measurement of the angle γ is specially important since it provides clear evidence that the CabibboKobayashi-Maskawa (CKM) matrix [2] is complex, even if one allows for the presence of New Physics beyond the Standard Model (SM) [3]
We show that the main features of the pattern of fermion masses and mixing can be expressed in terms of simple relations involving only WB invariants
Summary
In the past few years there has been a remarkable progress in the determination of fermion masses and mixing [1], involving advances both in theory and experiment. The above redundancy in Yukawa couplings and fermion mass matrices motivates the use of WB invariants, i.e. functions of quark masses which do not change when one preforms a WB transformation. These WB invariants are very useful in the analysis of CP violation, where they have been derived from first principles [5] and have been applied to both the quark [6] and lepton [7] sectors, including leptogenesis, as well as to the Higgs sector [8].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
