Title Relations between basis sets of fields in the renormalization procedure /
Authors Draukšas, Simonas
DOI 10.1140/epjc/s10052-023-12121-6
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Is Part of European physical journal C.. New York : Springer. 2023, vol. 83, iss. 10, art. no. 962, p. [1-9].. ISSN 1434-6044. eISSN 1434-6052
Abstract [eng] It seems that the literature suggests to go in two opposing directions simultaneously. On the one hand, many papers construct basis-independent quantities, since exactly these quantities appear in the expressions for observables. This means that the mixing angles such as $$\tan \beta $$ tan β in the generic Two Higgs Doublet Model must drop out when calculating anything physical. On the other hand, there are many attempts to renormalize such mixing angles – this is in the opposite direction to basis-independence. This basis-dependent approach seems to bring gauge-dependence and singular behaviour, both of which are required to be absent in mixing renormalization. Most importantly, mixing angle counterterms single out a preferred basis and further basis rotations lead to inconsistencies. In contrast, we argue that the bare mixing angles should be identified with the renormalized ones – this is the basis-independent approach – such that all the mixing renormalization requirements are fulfilled in a trivial and consistent manner.
Published New York : Springer
Type Journal article
Language English
Publication date 2023