arXiv subjects

J. C. Gómez-Izquierdo

Publications and source records attributed to J. C. Gómez-Izquierdo.

4 recordsLinked to original sources

arXiv2020

Cálculo de la integral escalar a un lazo $A(m^2)$ mediante el teorema del residuo

Radiative corrections in the phenomenology of particle physics lead to great predictions on the observables of the Standard Model (SM) which are in good agreement with different measurements on Particle Accelerators and Detectors and in the case of numeric predictions on Quantum Chromodynamics (QCD) and its study in the lattice for the low energy regime. This is a pedagogical paper in which we calculate the one loop scalar integral $A(m^2)$, that arises in the simplest radiative correction calculation, by means of the dimensional regularization. As main result, we perform also the evaluation of this integral by using the Residue Theorem on complex variable. In addition, the equivalence between the two procedures is shown through Gamma function properties.

hep-ph↗

arXiv2016

The Breaking $μ\leftrightarrow τ$ Symmetry through the ${\bf Q}_{6}$ Flavour Group

In a supersymmetric scenario, we study masses and mixings for leptons through the ${\bf Q}_{6}$ flavour symmetry. In the simplest case, the ${\bf M}_ν$ effective neutrino mass matrix, that comes from the type I see-saw mechanism, breaks the $μ\leftrightarrow τ$ interchange symmetry. As consequence, the reactor and atmospheric angles deviate from $0^{\circ}$ and $45^{\circ}$, respectively. At first glance, the model might accommodate very well the reactor and atmospheric angles in good agreement with the experimental data.

hep-ph↗

arXiv2015

$Q_{6}$ As The Flavour Symmetry in a Non-minimal SUSY $SU(5)$ Model

We present a non-minimal renormalizable SUSY $SU(5)$~model, with extended Higgs sector and right-handed neutrinos, where the flavour sector exhibits a $Q_{6}$ flavour symmetry. We analysed the simplest version of this model, in which R-parity is conserved and the right-handed neutrino masses in the flavour doublet are considered with and without degeneration. We find the generic form of the mass matrices both in the quark and lepton sectors. We reproduce, according to current data, the mixing in the CKM matrix. In the leptonic sector, in the general case where the right-handed neutrino masses are not degenerate, we find that the values for the solar, atmospheric, and reactor mixing angles are in very good agreement with the experimental data, both for a normal and an inverted hierarchy. In the particular case where the right handed neutrinos masses are degenerate, the model predicts a strong inverted hierarchy spectrum and a sum rule among the neutrino masses. In this case the atmospheric and solar angles are in very good agreement with experimental data, and the reactor one is different from zero, albeit too small ($θ^{\ell^{th}}_{13} \sim 3.38 $). This value constitues a lower bound for $θ_{13}$ in the general case. We also find the range of values for the neutrino masses in each case.

hep-ph↗

arXiv2006

Fixing the Solar Neutrino Parameters with Sterile Neutrinos

Neutrino mixing matrix appears to be close to bimaximal mixing, but for the solar mixing angle which is definitively smaller than forty five degrees. Whereas it seems quite easy to understand bimaximal mixing with the use of new global symmetries, as in models using $L_e - L_μ- L_τ$, understanding the about to eleven degrees of deviation in the observed solar angle seems less simple. We suggest that such a deviation could be due to a light sterile neutrino that mixes with the active sector. The mass scale needed to produce the effect has to be smaller than atmospheric scale, and it would introduce a new mass squared difference which should be smaller than the solar scale. We present a toy model that exemplifies these features.

hep-ph↗