The paper delivers the first complete non-redundant dimension-six operator basis for SMEFT at finite temperature using the Hilbert series on R^3 x S^1.
Cosmological phase transitions at three loops: the final verdict on perturbation theory
5 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We complete the perturbative program for equilibrium thermodynamics of cosmological first-order phase transitions by determining the finite-temperature effective potential of gauge-Higgs theories at next-to-next-to-next-to-next-to-leading order (N$^4$LO). The computation of the three-loop effective potential required to reach this order is extended to generic models in dimensionally reduced effective theories in a companion article. Our N$^4$LO result is the last perturbative order before confinement renders electroweak gauge-Higgs theories non-perturbative at four loops. By contrasting our analysis with non-perturbative lattice results, we find a remarkable agreement. As a direct application for predictions of gravitational waves produced by a first-order transition, our computation provides the final fully perturbative results for the phase transition strength and speed of sound.
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2026 5representative citing papers
Polyakov loop contributions to the thermal effective potential soften electroweak phase transitions, disfavoring first-order transitions and suppressing gravitational-wave signals.
Precision study of dark sector phase transitions finds PTA-favored parameters near EFT breakdown with disfavored GW signals after higher-order corrections.
Computes dimension-six operators in finite-temperature massive scalar QED via heat kernel methods and evaluates their combined effect with the Polyakov loop on first-order phase transition thermodynamics.
Real scalar singlet extension of SM permits strong first-order EWPT for singlet masses up to ~1 TeV; HL-LHC tests large fraction of space while FCC offers discovery reach.
citing papers explorer
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Finite-temperature operator basis on $\mathbb{R}^3 \times S^1$ for SMEFT
The paper delivers the first complete non-redundant dimension-six operator basis for SMEFT at finite temperature using the Hilbert series on R^3 x S^1.
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Polyakov Loops Tame Phase Transitions
Polyakov loop contributions to the thermal effective potential soften electroweak phase transitions, disfavoring first-order transitions and suppressing gravitational-wave signals.
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A critical look at low-scale cosmological phase transitions in the PTA era
Precision study of dark sector phase transitions finds PTA-favored parameters near EFT breakdown with disfavored GW signals after higher-order corrections.
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Higher-dimensional operators and Polyakov loop in hot Scalar QED from the heat kernel
Computes dimension-six operators in finite-temperature massive scalar QED via heat kernel methods and evaluates their combined effect with the Polyakov loop on first-order phase transition thermodynamics.
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Constraining the real scalar singlet extension of the SM
Real scalar singlet extension of SM permits strong first-order EWPT for singlet masses up to ~1 TeV; HL-LHC tests large fraction of space while FCC offers discovery reach.