#10 Raiders of the lost quarks - Fitting quark masses and quark mixings in the CP3 two-Higgs doublet model

In the Standard Model (SM) of particle physics, the six quark masses and their mixings, given by the Cabbibo-Kobayashi-Maskawa (CKM) matrix, are not predicted, rather they are input parameters. In more general models – such as the Two-Higgs Doublet Model (2HDM) – we must be certain that the predictions of the SM for the quark sector can be reproduced.

The 2HDM has too many free parameters, which is why it is complemented with extra symmetries. The CP3 symmetry reduces the number of free parameters in the quark sector to 12 – and in that sector we must fit 6 masses and 4 CKM parameters. Preliminary results have shown that all but one of those parameters can be fitted. 

This project consists in developing new numerical fitting strategies to attempt a complete fit of the quark sector, starting with an overview of the model and explanation of the procedures necessary to fit quark mass matrices and the CKM matrix. If successful, it may well lead to a journal publication.

Requirements: Good numerical skills (Python or Matlab, for instance)