Renormalization of mixing angles

Denner, Ansgar; Dittmaier, S.; Lang, Jean-Nicolas

doi:10.1007/jhep11(2018)104

Cited by 63 publications

(135 citation statements)

References 94 publications

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“…The aim of this contribution is to recapitulate the renormalization conditions for mixing angles introduced in Ref. [19] that fulfil these conditions. For more details and further phenomenological applications we refer to Ref.…”

Section: Introductionmentioning

confidence: 93%

“…Upon performing the shift H → H + ∆v of the Higgs field H by the constant ∆v, the explicit tadpoles can be replaced by contributions of ∆v and thus transferred to the counterterms of vertex functions with more than one external leg. Even though being fully consistent, the FJTS is prone to large corrections originating from MS-renormalized mixing angles [13,17,19,26].…”

Section: Tadpoles and Renormalizationmentioning

confidence: 99%

“…UV divergences of mixing-angle counterterms are related to UV divergences of δ Z H i j . This can be used to fix the renormalization of α via [6,10,19]…”

Section: Renormalization Schemes For Mixing Angles Based On Symmetriesmentioning

confidence: 99%

“…These drawbacks can be lifted by introducing suitable extra neutral fields with a simple coupling structure and considering the limit of vanishing extra couplings [19]. As an example we add an additional fermion singlet ψ to the HSESM with the Lagrangian 1…”

Section: Renormalization Schemes For Mixing Angles Based On S-matrix mentioning

confidence: 99%

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Renormalization schemes for mixing angles in extended Higgs sectors

Denner¹,

Dittmaier²,

Lang³

2019

Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)

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The proper renormalization of mixing angles in quantum field theories is a long-standing problem. It is relevant for the renormalization of the quark mixing matrix in the Standard Model and for various mixing scenarios in theories beyond. In this contribution we specifically consider theories with extended scalar sectors. We describe renormalization schemes for mixing angles based on combinations of observables or symmetry requirements such as rigid or background-field gauge invariance and compare their properties to previous approaches such as MS schemes. We formulate specific renormalization conditions for the mixing angles in the Two-Higgs-Doublet Model and the Higgs-Singlet Extension of the Standard Model and calculate electroweak corrections to Higgs-boson decays via W-or Z-boson pairs within these models for a selection of (new and old) renormalization schemes.

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Section: Introductionmentioning

confidence: 93%

Section: Tadpoles and Renormalizationmentioning

confidence: 99%

“…UV divergences of mixing-angle counterterms are related to UV divergences of δ Z H i j . This can be used to fix the renormalization of α via [6,10,19]…”

Section: Renormalization Schemes For Mixing Angles Based On Symmetriesmentioning

confidence: 99%

Section: Renormalization Schemes For Mixing Angles Based On S-matrix mentioning

confidence: 99%

See 2 more Smart Citations

Renormalization schemes for mixing angles in extended Higgs sectors

Denner¹,

Dittmaier²,

Lang³

2019

Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)

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“…In the physical OS scheme proposed in [28], the mixing angles CTs are defined through ratios of processes such that they are manifestly gauge-independent, while at the same time avoiding potentially large NLO corrections that are usually present in process-dependent schemes. Solely for the purpose of renormalization, two right-handed fermion singlets ν 1R and ν 2R are introduced which transform under an additionally introduced Z 2 symmetry transformation as ν 1R → −ν 1R and ν 2R → ν 2R .…”

Section: Renormalization Of the 2hdmmentioning

confidence: 99%

Impact of electroweak corrections on neutral Higgs boson decays in extended Higgs sectors

Krause

Mühlleitner

2020

J. High Energ. Phys.

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Precision predictions play an important role in the search for indirect New Physics effects in the Higgs sector itself. For the electroweak (EW) corrections of the Higgs bosons in extended Higgs sectors several renormalization schemes have been worked out that provide gauge-parameter-independent relations between the input parameters and the computed observables. Our recently published program codes 2HDECAY and ewN2HDECAY allow for the computation of the EW corrections to the Higgs decay widths and branching ratios of the Two-Higgs-Doublet Model (2HDM) and the Next-to-Minimal-2HDM (N2HDM) for different renormalization schemes of the scalar mixing angles. In this paper, we present a comprehensive and complete overview over the relative size of the EW corrections to the branching ratios of the 2HDM and N2HDM neutral Higgs bosons for different applied renormalization schemes. We quantify the size of the EW corrections of Standard Model(SM)-and non-SMlike Higgs bosons and moreover also identify renormalization schemes that are well-behaved and do not induce unnaturally large corrections. We furthermore pin down decays and parameter regions that feature large EW corrections and need further treatment in order to improve the predictions. Our study sets the scene for future work in the computation of higher-order corrections to the decays of non-minimal Higgs sectors. * 1 Other recent works including EW corrections to non-SM Higgs decays are [7] where EW corrections to Higgsto-Higgs decays in a singlet extension of the SM have been computed, or [8] which provides a generic calculation of the two-body partial decays widths at full one-loop level in the DR renormalization scheme. Next-to-leading order corrections to Higgs boson decays in models with non-minimal sectors have been computed in [9,10]. For the Next-to-Minimal Supersymmetric extension of the SM (NMSSM), the full one-loop renormalization and one-loop corrected two-body Higgs decay widths in the on-shell (OS) renormalization scheme have been given in [11,12]. Recent calculations of the EW corrections to the NMSSM Higgs boson decays in the CP-conserving and/or CPviolating NMSSM can be found in [13][14][15][16][17][18][19]. They can be computed with the public code NMSSMCALCEW [17] (based on the extension of NMSSMCALC [20]). m h , m H , m A , m H ± , m 2 12 , α, tan β, v . (2.19)Alternatively, the original parametrization of the scalar potential in the interaction basis can be used so that the set of independent parameters is given by λ 1 , λ 2 , λ 3 , λ 4 , λ 5 , m 2 12 , tan β, v .(2.20)

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Renormalization of a Standard Model extension with a Dark Abelian Sector and predictions for the W-boson mass

Dittmaier,

Rehberg,

Rzehak

2024

J. High Energ. Phys.

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The described Dark Abelian Sector Model (DASM) extends the Standard Model (SM) by a “dark” sector containing a spontaneously broken U(1)d gauge group. Keeping this dark sector quite generic we only add one additional Higgs boson, one Dirac fermion, and right-handed SM-like neutrinos to the SM. Using the only two singlet operators of the SM with dimension less than 4 (the U(1)Y field-strength tensor and the SM Higgs mass operator |Φ|2) as well as the right-handed neutrino fields we open up three portals to the dark sector. Dark sectors, such as the one of the DASM, that introduce an additional Higgs boson H as well as an additional Z′ gauge boson can have a large influence on the predictions for electroweak precision observables and even accommodate possible dark matter candidates. We consider one of the two Higgs bosons to be the known 125 GeV Higgs boson and parameterize the extension of the scalar sector by the mass of the second Higgs boson, the Higgs mixing angle, and a Higgs self-coupling. We do not assume any mass hierarchy in the gauge sector and use the mass of the additional Z′ boson and a corresponding gauge-boson mixing angle to parameterize the extension of the gauge sector. The fermion sector is parameterized by the mass of the additional fermion and a fermion mixing angle. We describe an on-shell as well as an $$ \overline{\textrm{MS}} $$ MS ¯ renormalization scheme for the DASM sectors and give explicit results for the renormalization constants at the 1-loop level, and, thus, prepare the ground for full NLO predictions for collider observables in the DASM. As a first example, we provide the DASM prediction for the W-boson mass derived from muon decay.

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Renormalization of mixing angles

Cited by 63 publications

References 94 publications

Renormalization schemes for mixing angles in extended Higgs sectors

Renormalization schemes for mixing angles in extended Higgs sectors

Impact of electroweak corrections on neutral Higgs boson decays in extended Higgs sectors

Renormalization of a Standard Model extension with a Dark Abelian Sector and predictions for the W-boson mass

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