Comparison of Effective Dissipation Channels in Warm Higgs Inflation from Warm Background Evolution

Abstract

Within the framework of warm Higgs inflation, a systematic comparison is carried out among seven effective dissipation channels (EDC) constructed from combinations of the three basic dissipation channels, namely the low temperature (LT), high temperature (HT), and threshold (Th) channels. Adopting a unified treatment of warm background evolution, complexity penalization, and boundary consistency checks, the comparison is performed in terms of their distributions of the best fit points in ($n_s$, $r$) plane, relative BIC hierarchy, channel dominance patterns, and warmness indicators. The results show that, except for the pure HT EDC $\hat{I}{\yen }_{010}$, the best fit points of the other six EDC are clustered within a small region of the ($n_s$, $r$) plane, around $n_s\approx 0.965$ and $r\approx (3.68\to 3.74)\times 10^{-3}$. In contrast, $\hat{I}{\yen }_{010}$ is displaced from this main cluster, with a representative best fit point near $n_s=0.9552$ and $r=6.0\times 10^{-3}$. Under both the unified scan and the 1200-point refined rescoring, the pure LT EDC $\hat{I}{\yen }_{100}$ remains top-ranked, while $\hat{I}{\yen }_{011}$ and $\hat{I}{\yen }_{111}$ remain disfavored, indicating that the overall hierarchy is stable under the present boundary check criterion. Warmness diagnostics further show that $\hat{I}{\yen }_{100}$ corresponds to $Q_{\ast }\approx 35.7$ and $T_{\ast }/H_{\ast }\approx 1.90\times 10^3$, placing it in the strong warm regime, whereas $\hat{I}{\yen }_{011}$ gives $T_{\ast }/H_{\ast }\approx 0.31$, already below the warmness threshold. The channel fractions, boundary checks, and constrained internal-mixing probes consistently indicate that the best fit points of the multi-channel EDC do not form a stable internally mixed region, but instead lie closer to a single channel dominated regime.

21 pages, 5 figures