ABSTRACT
The paper extends Excursion Set Theory to next-to-next-to-leading order (NNLO) using a path integral perturbation theory to achieve sub-percent accuracy at junction masses, crucial for upcoming cosmological surveys.
PAPER · PDF
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Key findings
Proposes a systematic NNLO extension of EST for precision cosmology.
Introduces a three-tier hierarchy for first-crossing probability, perturbative expansion, and junction matching.
Derives explicit NNLO corrections to the multipliclicity function.
Plans validation against N-body simulations for improved accuracy.
Limitations & open questions
The NNLO method's computational complexity and practical implementation challenges are not fully discussed.