https://doi.org/10.1140/epjc/s10052-023-12121-6
Regular Article - Theoretical Physics
Relations between basis sets of fields in the renormalization procedure
Institute of Theoretical Physics and Astronomy, Vilnius University, Saulėtekio al. 3, 10222, Vilnius, Lithuania
Received:
6
July
2023
Accepted:
6
October
2023
Published online:
25
October
2023
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 
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.
© The Author(s) 2023
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