Generalised P and CP transformations in the 3-Higgs-doublet model

التفاصيل البيبلوغرافية
العنوان: Generalised P and CP transformations in the 3-Higgs-doublet model
المؤلفون: Maniatis, M., Nachtmann, O.
المصدر: Phys. Rev. D 100, 115044 (2019)
سنة النشر: 2019
المجموعة: High Energy Physics - Phenomenology
مصطلحات موضوعية: High Energy Physics - Phenomenology
الوصف: We study generalised P and CP transformations in the three-Higgs-doublet model (3HDM) with Higgs and gauge fields only. We find that there are two equivalence classes, with respect to flavour transformations, of generalised P transformations and there is only one class of CP transformations. We discuss the conditions the potential has to satisfy in order to be invariant under these transformations. We apply the method of bilinears which we briefly review. We discuss the relation to the conventional basis, where the potential is written in terms of scalar products of the doublet fields. In particular we reproduce the known result that a potential is invariant under CP transformations if and only if there is a conventional basis where all parameters are real. Eventually we study standard P and CP transformations in the $n$-Higgs-doublet model (nHDM). We show that for the bilinears of the nHDM the standard CP transformation corresponds to a diagonal linear transformation with only $\pm 1$ as diagonal elements. We give this matrix explicitly for arbitrary $n$.
Comment: 29 pages
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.100.115044
URL الوصول: http://arxiv.org/abs/1908.04303
رقم الأكسشن: edsarx.1908.04303
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.100.115044