The muon magnetic moment in the 2HDM: complete two-loop result

We study the \({\text{2HDM}}\) contribution to the muon anomalous magnetic moment \(a_\mu\) and present the complete two-loop result, particularly for the bosonic contribution. We focus on the Aligned \({\text{2HDM}}\), which has general Yukawa couplings and contains the type I, II, X, Y models as s...

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Bibliographic Details
Published in:arXiv.org 2021-10
Main Authors: Cherchiglia, Adriano, Kneschke, Patrick, Stöckinger, Dominik, Stöckinger-Kim, Hyejung
Format: Article
Language:English
Subjects:
Couplings
Dependence
Higgs bosons
Magnetic fields
Magnetic moments
Muons
Parameters
Physical properties
Online Access:Get full text
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Summary:We study the \({\text{2HDM}}\) contribution to the muon anomalous magnetic moment \(a_\mu\) and present the complete two-loop result, particularly for the bosonic contribution. We focus on the Aligned \({\text{2HDM}}\), which has general Yukawa couplings and contains the type I, II, X, Y models as special cases. The result is expressed with physical parameters: three Higgs boson masses, Yukawa couplings, two mixing angles, and one quartic potential parameter. We show that the result can be split into several parts, each of which has a simple parameter dependence, and we document their general behavior. Taking into account constraints on parameters, we find that the full \({\text{2HDM}}\) contribution to \(a_\mu\) can accommodate the current experimental value, and the complete two-loop bosonic contribution can amount to \((2\cdots 4)\times 10^{-10}\), more than the future experimental uncertainty.
ISSN:2331-8422
DOI:10.48550/arxiv.1607.06292