Prior-Averaged Ranking of Low-Order Monomial Potentials in Low-Temperature Warm Inflation
Abstract
We compare the relative prior-averaged weights of the monomial potentials Vp(ϕ)=λpϕp/p, with p=2,3,4, in low-temperature warm inflation with the dissipative coefficient fixed to Υ=CϕT3/ϕ2. The dissipative form, background equations, primordial-spectrum prescription, and compressed observable likelihood are held fixed while the monomial power is varied. For each branch, the warm background equations, including radiation backreaction, are solved numerically, and the broadened likelihood for (As,ns,r0.05) is integrated over the adopted prior domain to obtain Zeff(As,ns,r). For the reference configuration N*=55, σr=0.005, and the viability-conditioned prior A, we obtain Δln Zeff(p=2)=−32.18 and Δln Zeff(p=3)=−6.99 relative to p=4. The same ranking is retained for the specific variations of N*, the prior domains, the random seeds, and the smoothing width of the upper-bound penalty examined here. A representative quartic trajectory gives ns=0.96420, r0.05=0.02663, Q*=4.68×10−3, and T*/H*=10.67. Its scalar spectrum is evaluated using the assumed Bose--Einstein occupation prescription. A component test at this representative point indicates that the occupation term contributes more to the scalar enhancement than the fitted dissipative growth factor. Thus, within the compressed-likelihood setup, the adopted thermal-occupation prescription, and the adopted viability-conditioned priors, the prior-averaged ranking is p=4>p=3≫ p=2.
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BibTeX
@misc{peng2026prioraveraged,
title = {{Prior-Averaged Ranking of Low-Order Monomial Potentials in Low-Temperature Warm Inflation}},
author = {Xin Peng and Xiang Cheng and Wei Cheng and Yi-Rong Ma and Yu Pan and Jun Zeng},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.07958},
eprint = {2606.07958},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.07958},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Prior-Averaged Ranking of Low-Order Monomial Potentials in Low-Temperature Warm Inflation
AU - Xin Peng
AU - Xiang Cheng
AU - Wei Cheng
AU - Yi-Rong Ma
AU - Yu Pan
AU - Jun Zeng
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2606.07958
UR - https://arxiv.org/abs/2606.07958
AB - We compare the relative prior-averaged weights of the monomial potentials V_p(ϕ)=λ_pϕ^p/p, with p=2,3,4, in low-temperature warm inflation with the dissipative coefficient fixed to Υ=C_ϕT^3/ϕ^2. The dissipative form, background equations, primordial-spectrum prescription, and compressed observable likelihood are held fixed while the monomial power is varied. For each branch, the warm background equations, including radiation backreaction, are solved numerically, and the broadened likelihood for (A_s,n_s,r_0.05) is integrated over the adopted prior domain to obtain Z_eff^(A_s,n_s,r). For the reference configuration N_*=55, σ_r=0.005, and the viability-conditioned prior A, we obtain Δln Z_eff(p=2)=−32.18 and Δln Z_eff(p=3)=−6.99 relative to p=4. The same ranking is retained for the specific variations of N_*, the prior domains, the random seeds, and the smoothing width of the upper-bound penalty examined here. A representative quartic trajectory gives n_s=0.96420, r_0.05=0.02663, Q_*=4.68×10^−3, and T_*/H_*=10.67. Its scalar spectrum is evaluated using the assumed Bose--Einstein occupation prescription. A component test at this representative point indicates that the occupation term contributes more to the scalar enhancement than the fitted dissipative growth factor. Thus, within the compressed-likelihood setup, the adopted thermal-occupation prescription, and the adopted viability-conditioned priors, the prior-averaged ranking is p=4>p=3≫ p=2.
ER -