Lagrangian reduction of forced discrete mechanical systems

In this paper we propose a process of Lagrangian reduction and reconstruction for symmetric discrete-time mechanical systems acted on by external forces, where the symmetry group action on the configuration manifold turns it into a principal bundle. We analyze the evolution of momentum maps and Poisson structures under different conditions

Limits to gauge coupling in the dark sector set by the non-observation of instanton-induced decay of Super-Heavy Dark Matter in the Pierre Auger Observatory data

We investigate instanton-induced decay processes of super-heavy dark matter particles $X$ produced during the inflationary epoch. Using data collected at the Pierre Auger Observatory we derive a bound on the reduced coupling constant of gauge interactions in the dark sector: $\alpha_X^{\rm eff} \lesssim 0.09$, for $10^{10} < M_X/{\rm GeV} < 10^{16}$. We show that this upper limit on $\alpha_X^{\rm eff}$ is complementary to that obtained from the non-observation of tensor modes in the cosmic microwave background

Limits to gauge coupling in the dark sector set by the non-observation of instanton-induced decay of Super-Heavy Dark Matter in the Pierre Auger Observatory data

We investigate instanton-induced decay processes of super-heavy dark matter particles $X$ produced during the inflationary epoch. Using data collected at the Pierre Auger Observatory we derive a bound on the reduced coupling constant of gauge interactions in the dark sector: $\alpha_X^{\rm eff} \lesssim 0.09$, for $10^{10} < M_X/{\rm GeV} < 10^{16}$. We show that this upper limit on $\alpha_X^{\rm eff}$ is complementary to that obtained from the non-observation of tensor modes in the cosmic microwave background

Limits to gauge coupling in the dark sector set by the non-observation of instanton-induced decay of Super-Heavy Dark Matter in the Pierre Auger Observatory data

We investigate instanton-induced decay processes of super-heavy dark matter particles $X$ produced during the inflationary epoch. Using data collected at the Pierre Auger Observatory we derive a bound on the reduced coupling constant of gauge interactions in the dark sector: $\alpha_X^{\rm eff} \lesssim 0.09$, for $10^{10} < M_X/{\rm GeV} < 10^{16}$. We show that this upper limit on $\alpha_X^{\rm eff}$ is complementary to that obtained from the non-observation of tensor modes in the cosmic microwave background

Limits to gauge coupling in the dark sector set by the non-observation of instanton-induced decay of Super-Heavy Dark Matter in the Pierre Auger Observatory data

We investigate instanton-induced decay processes of super-heavy dark matter particles $X$ produced during the inflationary epoch. Using data collected at the Pierre Auger Observatory we derive a bound on the reduced coupling constant of gauge interactions in the dark sector: $\alpha_X^{\rm eff} \lesssim 0.09$, for $10^{10} < M_X/{\rm GeV} < 10^{16}$. We show that this upper limit on $\alpha_X^{\rm eff}$ is complementary to that obtained from the non-observation of tensor modes in the cosmic microwave background