Two-zeros textures implications on quark mass matrices
Abstract
A numerical analysis is performed on elements of quark mass matrices considering that they have a two-zeros texture structure. The free parameters of the texture model used are bounded by imposing that the experimental values from the V_{CKM} matrix are reproduced, using a chi-squared criterion. In turn, a genetic algorithm is implemented to find, numerically, values of the parameters that meet such a chi-squared criterion. The numerical values found by the algorithm are analyzed and a relationship is proposed for the elements of the quark mass matrices.
Downloads
References
Fritzsch, H. (1977). Calculating the cabibbo angle. Physics Letters B, 70:436 – 440.
Fritzsch, H. and Xing, Z. (2003). Four zero texture of hermitian quark mass matrices and current experimental tests. Phys. Lett. B, 555:63–70.
Glashow, S. L. (1961). Partial symmetries of weak interactions. Nucl. Phys., 22:579–588.
Huang, G. and Zhou, S. (2021). Precise values of running quark and lepton masses in the standard model. Phys. Rev. D, 103:016010.
Weinberg, S. (1967). A model of leptons. Phys. Rev. Lett., 19:1264–1266. Zyla, P. et al. (2020). Review of particle physics. Prog. Theor. Exp. Phys., 2020(8).
Z.Z Xing, H. Z. and Zhou, S. (2008). Updated values of running quark and lepton masses. Phys. Rev. D, 77:113016.
