Basis-independent treatment of the complex 2HDM

Boto, Rafael; Fernandes, Tiago V.; Haber, Howard E.; Romão, Jorge C.; Silva, Joao

doi:10.1103/physrevd.101.055023

Cited by 27 publications

(28 citation statements)

References 99 publications

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“…Finally, after presenting the expressions for the one-loop decay widths, we show numerical results that allow to compare the different combinations. 37 It goes without saying that, when using considered gauge independent counterterms, one has to make sure that no inconsistencies are introduced (i.e. one must make sure not to change the gauge in the gauge dependent parameter counterterms).…”

Section: Resultsmentioning

confidence: 99%

“…In both scenarios, S-matrix elements end up being gauge-independent, and both lead to correct relations between physical observables. 37 Now, this procedure is obviously irrelevant when parameter counterterms are truly gauge independent. In the FJTS, this happens for parameter counterterms fixed in either the OSS or the MS schemes.…”

Section: Jhep06(2021)016mentioning

confidence: 99%

“…[36] used the model to study phase transition dynamics and gravitational wave signals; ref. [37] investigated a basis-independent treatment of the model; studies on electric dipole moments (EDM) of the C2HDM have been put forward in refs. [38,39]; ref.…”

Section: Jhep06(2021)016 1 Introductionmentioning

confidence: 99%

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Renormalization of the C2HDM with FeynMaster 2

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Romão

2021

J. High Energ. Phys.

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We present the one-loop electroweak renormalization of the CP-violating 2-Higgs-Doublet Model with softly broken ℤ2 symmetry (C2HDM). The existence of CP violation in the scalar sector of the model leads to a quite unique process of renormalization, since it requires the introduction of several non-physical parameters. The C2HDM will thus have more independent counterterms than independent renormalized parameters. As a consequence, different combinations of counterterms can be taken as independent for the same set of independent renormalized parameters. We compare the behaviour of selected combinations in specific NLO processes, which are assured to be gauge independent via a simple prescription. FeynMaster 2 is used to derive the Feynman rules, counterterms and one-loop processes in a simultaneously automatic and flexible way. This illustrates its use as an ideal tool to renormalize models such as the C2HDM and investigate them at NLO.

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Section: Resultsmentioning

confidence: 99%

Section: Jhep06(2021)016mentioning

confidence: 99%

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Renormalization of the C2HDM with FeynMaster 2

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Romão

2021

J. High Energ. Phys.

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“…It is true that one can look at the real 2HDM as a limiting case of the Z 2 2HDM, softly broken by a complex m 2 12 . This model is known as the complex 2HDM (C2HDM) and has been studied in detail; see, for example [14][15][16][17][18][19][20][21][22][23]. In that case, one can choose any tree-level values for the parameters, and, in particular, set Im m 2 12 = 0 at tree level.…”

Section: Shortcomings Of the Real 2hdmmentioning

confidence: 99%

Leaks of CP violation in the real two-Higgs-doublet model

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Romão³

et al. 2021

Eur. Phys. J. C

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We discuss the $$Z_2$$ Z 2 symmetric two-Higgs-doublet model with a real soft-breaking term (real 2HDM). We explain in detail why it is not tenable to assume CP conservation in the scalar sector to keep the dimension two term real, while CP is violated by the dimension four Yukawa couplings. We propose the calculation of the infinite tadpole of the (would-be) pseudoscalar neutral scalar. We construct a simple toy model with the same flaws, where the unrenormalizable infinity is easier to calculate. We then consider the same tadpole in the real 2HDM. We spearhead this effort focusing on diagrams involving solely bare quantities. This involves hundreds of Feynman three-loop diagrams that could feed the CP violation from the quark into the scalar sector, and is only possible with state of the art automatic computation tools. Remarkably, some intermediate results agree when using three independent derivations, including the peculiar cancellation of the leading pole divergence due to a subtle interplay between masses and the Jarlskog invariant, which we calculate analytically. The calculation is not complete however, since the full two-loop renormalization of the real 2HDM is not yet available in the literature. Still, we argue convincingly that there is an irremovable infinity.

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“…We here list the relations between the parameters of the Higgs potential in the Higgs basis and those in the Z 2 basis in the softly-broken Z 2 symmetric scenario [50,51,[87][88][89];…”

Section: A Parameters Of the Higgs Potential In The Higgs Basismentioning

confidence: 99%

New scenario for aligned Higgs couplings originated from the twisted custodial symmetry at high energies

Aiko

Kanemura

2021

J. High Energ. Phys.

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We investigate a new scenario of the two Higgs doublet model, where the current experimental data for the electroweak rho parameter and those for the Higgs boson couplings can be simultaneously explained. In this scenario, the two Higgs doublet model is supposed to be a low energy effective theory up to a high energy scale Λ, above which a fundamental theory should appear. It is assumed that the Higgs potential respects a global symmetry at Λ (the twisted custodial symmetry), which is to be given as a consequence of the global symmetry structure of the fundamental theory above Λ. By the analysis using one-loop renormalization group equations, the above experimental data can be explained in a natural way even when the masses of the extra Higgs bosons are near the electroweak scale. We also discuss the predictions on the mass spectrum of the additional Higgs bosons and also those on the coupling constants of the standard-model-like Higgs boson, which make it possible to test this scenario at the current and future collider experiments.

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Basis-independent treatment of the complex 2HDM

Cited by 27 publications

References 99 publications

Renormalization of the C2HDM with FeynMaster 2

Renormalization of the C2HDM with FeynMaster 2

Leaks of CP violation in the real two-Higgs-doublet model

New scenario for aligned Higgs couplings originated from the twisted custodial symmetry at high energies

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