A Kontorovich-Lebedev-Fourier space is built for (d+1)-dimensional de Sitter correlators from the Casimir operator of SO(1,d+1), producing rational propagators and Feynman rules that turn tree and loop diagrams into spectral integrals and orthogonality relations.
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A Kontorovitch-Lebedev-Fourier momentum space is constructed for de Sitter QFT where the dS frequency labels unitary representations, making equations algebraic and propagators simple like in flat space.
A parity-split IBP system for n-propagator families in de Sitter space is identified, along with a conjecture that dlog-form differential equations extend to dS integrands with Hankel functions, verified for the one-loop bubble.
Different dimensional regularization schemes agree with each other and with unitarity; new analytic eta regulators simplify the work and fix the imaginary part of one-loop coefficients by the logarithmic running of the real part under scale invariance and Bunch-Davies conditions.
Right-handed neutrino loops in inflation with seesaw mechanism generate enhanced cosmological collider signatures via a chemical potential from a dimension-5 operator, softening Boltzmann suppression and amplifying oscillatory non-Gaussianity for the dominant helicity mode.
In dynamical Chern-Simons inflation the parity-odd trispectrum is a double copy of the mixed bispectrum and parity-odd power spectrum via a prior factorization formula.
citing papers explorer
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Kontorovich-Lebedev-Fourier Space for de Sitter Correlators
A Kontorovich-Lebedev-Fourier space is built for (d+1)-dimensional de Sitter correlators from the Casimir operator of SO(1,d+1), producing rational propagators and Feynman rules that turn tree and loop diagrams into spectral integrals and orthogonality relations.
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De Sitter Momentum Space
A Kontorovitch-Lebedev-Fourier momentum space is constructed for de Sitter QFT where the dS frequency labels unitary representations, making equations algebraic and propagators simple like in flat space.
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Loop integrals in de Sitter spacetime: The parity-split IBP system and $\mathrm{d}\log$-form differential equations
A parity-split IBP system for n-propagator families in de Sitter space is identified, along with a conjecture that dlog-form differential equations extend to dS integrands with Hankel functions, verified for the one-loop bubble.
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Unitary and Analytic Renormalisation of Cosmological Correlators
Different dimensional regularization schemes agree with each other and with unitarity; new analytic eta regulators simplify the work and fix the imaginary part of one-loop coefficients by the logarithmic running of the real part under scale invariance and Bunch-Davies conditions.
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Cosmological Collider Signatures from Right-Handed Neutrino Loop
Right-handed neutrino loops in inflation with seesaw mechanism generate enhanced cosmological collider signatures via a chemical potential from a dimension-5 operator, softening Boltzmann suppression and amplifying oscillatory non-Gaussianity for the dominant helicity mode.
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A Match Made in Heaven: Linking Observables in Inflationary Cosmology
In dynamical Chern-Simons inflation the parity-odd trispectrum is a double copy of the mixed bispectrum and parity-odd power spectrum via a prior factorization formula.