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This study introduces a new R-parity violation (RPV) paradigm where RPV operators originate from the Kähler potential, not the superpotential. This naturally explains small RPV magnitudes and suggests new LHC search strategies.

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Area of Science:

  • Particle Physics
  • High Energy Physics
  • Supersymmetry

Background:

  • R-parity violation (RPV) is a key concept in supersymmetric theories.
  • Standard RPV models face challenges explaining the small magnitudes of RPV operators.
  • Existing searches for RPV phenomena at the Large Hadron Collider (LHC) may need refinement.

Purpose of the Study:

  • To propose a novel theoretical framework for RPV.
  • To investigate the origin and properties of RPV operators in this new paradigm.
  • To explore the phenomenological implications for low-energy constraints and collider searches.

Main Methods:

  • Developing a new paradigm where R-parity is conserved in the visible sector but broken in the supersymmetry-breaking sector.
  • Dynamically mediating the breaking to the visible sector via nonrenormalizable operators originating from the Kähler potential.
  • Analyzing low-energy constraints from baryon-number violating processes, proton decay, and flavor-changing neutral currents.
  • Identifying and characterizing new nonholomorphic RPV operators.

Main Results:

  • RPV operators naturally arise from the Kähler potential, suppressed by the supersymmetry-breaking scale.
  • A new class of nonholomorphic RPV operators is identified, often dominating over standard RPV operators.
  • The proposed framework can satisfy existing low-energy constraints, particularly when combined with solutions to the Standard Model flavor puzzle.
  • Distinct collider signatures are predicted due to the chiral nature of the new RPV operators.

Conclusions:

  • The presented paradigm offers a compelling explanation for the smallness of RPV effects.
  • New nonholomorphic RPV operators represent a significant theoretical development.
  • Current LHC search strategies for RPV phenomena require modification to accommodate these new signatures.