arXiv subjects
Publications and source records attributed to J. J. Godina Nava.
Power Series Solution method has been used traditionally for to solve Linear Differential Equations, in Ordinary and Partial form. But this method has been limited to this kind of problems. We present the solution of problems of Non Linear Partial Differential equations of Physical Mathematical using power series.
We study a model with two Higgs doublets where FCNC are allowed at tree-level. In this model, the interactions of charged Higgs with fermions ($H^\pm f \bar{f'}$), include a term that is not proportional to the fermion masses, which we constraint using the following low-energy processes: i) tau decays ($τ\to ν_τ eν_e, ν_τμν_μ, ν_τπ$), ii) leptonic decays of pseudoscalar mesons ($π, K \to \ellν_{\ell}$) and iii) semileptonic b-decays. With these constraints it is possible to make predictions; we illustrate this by presenting the rates for the (FCNC) decay $c\to u+γ$, the (second class-current) decay $τ\to ν_τ+ ηπ$, and also the theoretical value of the neutron life-time.
We study the effects of charged tensor weak currents on the strangeness-changing decays of the $τ$ lepton. First, we use the available information on the $K^+_{e3}$ form factors to obtain BR$(τ^- \rightarrow K^-π^0 ν_τ)\sim {\cal O}(10^{-4})$ when the $Kπ$ system is produced in an antisymmetric tensor configuration. Then, we propose a mechanism for the direct production of the $K_2^*(1430)$ in $τ$ decays. Using the current upper limit on this decay we set a bound on the symmetric tensor interactions.