Pushing finite-density pQCD to NNNLO

Partly motivated by improvements in neutron star observations, in recent years there has been a push to increase the accuracy of the theoretical predictions of the QCD pressure at finite densities at both high and low densities. In this seminar, I will discuss my research on the high-density side, namely on high-order pQCD calculations.

After briefly reviewing the old results of the pQCD expansion of the pressure in thermal field theory, including the complications that arise due to infrared divergences starting at NNLO, I plan to discuss more recent progress on the topic.

I will explain how an improved understanding of the role the HTL effective theory and the different scales play in the expansion, and in particular in its non-analytic parts. This recently made the evaluation of the leading log at NNNLO possible, and it is a key element in the ongoing computations beyond the leading log.


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