{"paper":{"title":"Matching higher-dimensional operators at finite temperature for general models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Generic models with scalars, fermions and gauge fields now have automated matching of dimension-five and -six operators in their three-dimensional high-temperature effective theories.","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Fabio Bernardo, Philipp Schicho, Romain Guillermo Reinle","submitted_at":"2026-05-14T17:57:40Z","abstract_excerpt":"High-temperature dimensional reduction provides a systematic effective field theory framework for studying finite-temperature thermodynamics and cosmological phase transitions. While the matching of super-renormalizable operators in the resulting three-dimensional effective theories is well established, the matching of higher-dimensional operators has recently been reinvigorated. These operators become phenomenologically relevant in strong first-order phase transitions where they quantify the convergence of the high-temperature expansion. This work automates the matching of generic three-dimen"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"This work automates the matching of generic three-dimensional dimension-five and -six operators for arbitrary models containing scalars, fermions, and gauge fields, implemented as an extension of the Mathematica package DRalgo.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The high-temperature expansion remains valid and the chosen operator basis after field redefinitions captures all relevant contributions without missing gauge-dependent artifacts that affect physical observables.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"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.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Generic models with scalars, fermions and gauge fields now have automated matching of dimension-five and -six operators in their three-dimensional high-temperature effective theories.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"659c32693540e457dfaa6a0514ca027ae12627874b01f1591c3eafa5dd594432"},"source":{"id":"2605.15176","kind":"arxiv","version":1},"verdict":{"id":"af2bcaa2-3b71-4071-84e9-793a11dba78c","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T02:55:01.467995Z","strongest_claim":"This work automates the matching of generic three-dimensional dimension-five and -six operators for arbitrary models containing scalars, fermions, and gauge fields, implemented as an extension of the Mathematica package DRalgo.","one_line_summary":"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.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The high-temperature expansion remains valid and the chosen operator basis after field redefinitions captures all relevant contributions without missing gauge-dependent artifacts that affect physical observables.","pith_extraction_headline":"Generic models with scalars, fermions and gauge fields now have automated matching of dimension-five and -six operators in their three-dimensional high-temperature effective theories."},"references":{"count":85,"sample":[{"doi":"","year":2023,"title":"Auclairet al.(LISA Cosmology Working Group), Cosmol- ogy with the Laser Interferometer Space Antenna, Living Rev","work_id":"264d2696-4222-4047-a5f7-4d3ff5a2e546","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1980,"title":"P. H. Ginsparg, First Order and Second Order Phase Transitions in Gauge Theo ries at Finite Temperature, Nucl. Phys. B 170 (1980) 388. 29","work_id":"51f7b22c-de48-4c71-8883-f0adb0fa018f","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1981,"title":"T. Appelquist and R. D. Pisarski, High-Temperature Yang-Mills Theories and Three-Dimensional Quantum Chromodynamics, Phys. Rev. D 23 (1981) 2305","work_id":"cf4af85b-0e85-4896-ba2e-23c001f0e58b","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1988,"title":"Nadkarni, Dimensional Reduction in Finite Temperature Quantum Chrom odynamics","work_id":"abb3048a-7e0e-4bcf-aed8-9952595217a6","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1989,"title":"N. P. Landsman, Limitations to Dimensional Reduction at High Temperature, Nucl. Phys. 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