arXiv subjects

Enrique Diaz

Publications and source records attributed to Enrique Diaz.

3 recordsLinked to original sources

arXiv2025

Exploring the energy landscape of the Thomson problem: local minima and stationary states

We conducted a comprehensive numerical investigation of the energy landscape of the Thomson problem for systems up to $N=150$. Our results show the number of distinct configurations grows exponentially with $N$, but significantly faster than previously reported. Furthermore, we find that the average energy gap between independent configurations at a given $N$ decays exponentially with $N$, dramatically increasing the computational complexity for larger systems. Finally, we developed a novel approach that reformulates the search for stationary points in the Thomson problem (or similar systems) as an equivalent minimization problem using a specifically designed potential. Leveraging this method, we performed a detailed exploration of the solution landscape for $N\leq24$ and estimated the growth of the number of stationary states to be exponential in $N$.

cond-mat.soft↗

arXiv2025

Inflationary observables in $F(R)$ gravity

We present phenomenological signatures for a modified gravity model f(R), constructed with linear, quadratic, cubic and quartic terms. The obtained signatures satisfy current phenomenological bounds reported by PLANCK and BICEP3. Furthermore, two of the model solutions $σ_1$ and $σ_2$ seem to favor a much lower value for the tensor-to-scalar ratio $0.0005<r_{σ_1}<0.0015$ and $r_{σ_2}<0.00015$ than the current reported experimental bounds. The results we obtained are quantitatively similar to those presented in previous studies for $R^3$ models.

gr-qc↗

arXiv2016

Flavor Violating Higgs signals in the Texturized Two-Higgs Doublet Model (2HDM-Tx)

Flavor violating Higgs signals, such as the top FCNC decay $t\to ch^0$ and the LFV Higgs decay $h^0\to τμ$, have been studied at the LHC. These signals can arise within the general Two-Higgs doublet model (THDM), where each Higgs doublet couples to all fermions types through Yukawa matrices $Y^f_1$ and $Y^f_2$. The Yukawa matrices can be assumed to have the same form or they could have different structures. In this paper we study the case when both $Y^f_1$ and $Y^f_2$ have completely different forms, but in such a way that they complement to produce a specific hermitian mass matrix. We find that for specific four-zero textures, the Flavor Violating Higgs couplings depend only on the free parameters $\tan β$, $γ_f$ and the fermion masses. We use the current bounds on the low energy processes, to derive constraints on the Heavy Higgs boson mass, $\tan β$ and $γ_f$. Then, we use these constraints to evaluate the LFV Higgs decays, which reach Branching ratios that could be tested at the LHC.

hep-ph↗