6–12 Apr 2025
Goethe University Frankfurt, Campus Westend, Theodor-W.-Adorno-Platz 1, 60629 Frankfurt am Main, Germany
Europe/Berlin timezone

Quark matter at four loops

Not scheduled
20m
Goethe University Frankfurt, Campus Westend, Theodor-W.-Adorno-Platz 1, 60629 Frankfurt am Main, Germany

Goethe University Frankfurt, Campus Westend, Theodor-W.-Adorno-Platz 1, 60629 Frankfurt am Main, Germany

Oral QCD matter in astrophysics

Speaker

Risto Paatelainen

Description

Completing the perturbative four-loop pressure of cold quark matter (QM) has been shown to significantly constrain the neutron-star-matter equation of state. Building on the milestone results in [1, 2], where all screened gluonic contributions to the QM pressure at this order were computed, the remaining challenge lies in evaluating the missing hard contributions arising from four-loop QCD vacuum diagrams at finite density. In this talk, we will present the latest progress in calculating these four-loop contributions [3], with a particular focus on the new algorithmic technique based on Loop Tree Duality (LTD), originally developed for perturbative computations in high-energy collider physics, which we recently generalized to finite density [4]. This novel approach tackles multiloop computations via direct numerical integration of entire Feynman diagrams, enabling the treatment of complex four-loop diagrams at finite density that were previously considered impossible to evaluate.

[1] Gorda, Kurkela, Paatelainen, Säppi, Vuorinen, Phys.Rev.Lett. 127 (2021)
[2] Gorda, Paatelainen, Säppi, Seppänen, Phys.Rev.Lett. 131 (2023)
[3] Kärkkäinen, Navarrete, Nurmela, Paatelainen, Seppänen, Vuorinen, In preparation
[4] Navarrete, Paatelainen, Seppänen, arxiv:2403.02180

Category Theory

Primary author

Co-authors

Aleksi Vuorinen (University of Helsinki) Kaapo Seppänen Mr Pablo Navarrete (University of Helsinki)

Presentation materials

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