The search for supersymmetric partners at Large Hadron Collider revealed
negative result. Though, strictly speaking, it does not exclude low energy
supersymmetry, but still it leads to strong constraints of the parameter space.
Therefore the search for supersymmetric particles at higher energies becomes of
interest. It is shown that in $R^2$-modified cosmology heavy particles with the
interaction strength typical for supersymmetry could be promising candidates
for carriers of dark matter. We consider the heating of the Universe at the
post-inflationary stage via particle production by oscillating curvature scalar
(scalaron). The bounds on the masses of dark matter particles are obtained for
different dominant decay modes of the scalaron. Possible impact of superheavy
particle decays on the spectrum of ultra high energy cosmic rays is discussed.

The Search for Supersymmetric Partners at Large Hadron Collider Revealed Negative Result

The search for supersymmetric partners at the Large Hadron Collider (LHC) has yielded a negative result. This means that, strictly speaking, low energy supersymmetry is not excluded, but it does impose strong constraints on the parameter space. As a result, the search for supersymmetric particles at higher energies has become of interest.

Potential Roadmap for Future Research

1. Exploring $R^2$-Modified Cosmology

In $R^2$-modified cosmology, heavy particles with an interaction strength typical for supersymmetry could be promising candidates for carriers of dark matter. Further investigation is needed in this area to understand the implications and possibilities.

Potential Challenges:

  • Determining the specific properties and behaviors of the heavy particles in $R^2$-modified cosmology.
  • Developing experimental techniques to detect and study these particles.

Potential Opportunities:

  • Advancing our understanding of the nature of dark matter and its potential connection to supersymmetry.
  • Creating new theoretical frameworks to explain the observed phenomena.

2. Heating of the Universe via Particle Production by Oscillating Curvature Scalar (Scalaron)

We should consider the heating of the Universe at the post-inflationary stage through particle production by the oscillating curvature scalar, also known as the scalaron. By understanding how this process occurs and its effect on the evolution of the Universe, we can gain insights into the nature of dark matter and its potential carriers.

Potential Challenges:

  • Modeling the interaction between the scalaron and other particles accurately.
  • Quantifying the heating process and its implications on the early Universe.

Potential Opportunities:

  • Uncovering new mechanisms for the production of dark matter particles.
  • Connecting the post-inflationary stage and the evolution of the Universe to the properties of dark matter.

3. Impact of Superheavy Particle Decays on Ultra High Energy Cosmic Rays

We should also consider the possible impact of superheavy particle decays on the spectrum of ultra high energy cosmic rays. By studying the effects and characteristics of these decays, we can gain insights into the properties and behaviors of dark matter particles.

Potential Challenges:

  • Determining the specific decay modes of superheavy particles and their implications on cosmic rays.
  • Developing observational techniques to study cosmic rays and detect any signatures of superheavy particle decays.

Potential Opportunities:

  • Identifying connections between the spectrum of ultra high energy cosmic rays and the properties of dark matter particles.
  • Providing evidence for the existence and characteristics of dark matter through cosmic ray observations.

Overall, while the search for supersymmetric partners at the LHC has yielded a negative result, it has opened up exciting avenues for future research. Exploring $R^2$-modified cosmology, studying the heating of the Universe through scalaron particle production, and investigating the impact of superheavy particle decays on cosmic rays all present challenges and opportunities for advancing our understanding of dark matter and its connections to fundamental physics.

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