The authors automate matching of generic 3D dimension-five and -six operators for arbitrary models, implemented in an extension of DRalgo with public code and examples for scalar-Yukawa, hot QCD, and the full Standard Model.
Higher-order corrections to phase-transition parameters in dimensional reduction
7 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The dynamics of phase transitions (PT) in quantum field theories at finite temperature is most accurately described within the framework of dimensional reduction. In this framework, thermodynamic quantities are computed within the 3-dimensional effective field theory (EFT) that results from integrating out the high-temperature Matsubara modes. However, strong-enough PTs, observable in gravitational wave (GW) detectors, occur often nearby the limit of validity of the EFT, where effective operators can no longer be neglected. Here, we perform a quantitative analysis of the impact of these interactions on the determination of PT parameters. We find that they allow for strong PTs in a wider region of parameter space, and that both the peak frequency and the amplitude of the resulting GW power spectrum can change by more than one order of magnitude when they are included. As a byproduct of this work, we derive equations for computing the bounce solution in the presence of higher-derivative terms, consistently with the EFT power counting.
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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.
SIRENA automates IBP reduction of sum-integrals in finite-temperature QFT, reproduces known results to 3 loops, supplies new 3-loop fermionic reductions, and derives an analytic factorization formula for arbitrary 2-loop fermionic sum-integrals.
Polyakov loop contributions to the thermal effective potential soften electroweak phase transitions, disfavoring first-order transitions and suppressing gravitational-wave signals.
Matchotter automates one-loop finite-temperature dimensional reduction and supersoft matching for generic Lagrangians using functional techniques.
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.
citing papers explorer
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Matching higher-dimensional operators at finite temperature for general models
The authors automate matching of generic 3D dimension-five and -six operators for arbitrary models, implemented in an extension of DRalgo with public code and examples for scalar-Yukawa, hot QCD, and the full Standard Model.
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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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SIRENA -- Sum-Integral REductioN Algorithm
SIRENA automates IBP reduction of sum-integrals in finite-temperature QFT, reproduces known results to 3 loops, supplies new 3-loop fermionic reductions, and derives an analytic factorization formula for arbitrary 2-loop fermionic sum-integrals.
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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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Matchotter: An Automated Tool for Dimensional Reduction at Finite Temperature
Matchotter automates one-loop finite-temperature dimensional reduction and supersoft matching for generic Lagrangians using functional techniques.
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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.