Revisiting on-shell renormalization conditions in theories with flavor mixing

Grimus, Walter; Löschner, Maximilian

doi:10.1142/s0217751x16300386

Cited by 7 publications

(6 citation statements)

References 16 publications

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“…where we emphasize that δm 2 h and δm 2 A are not diagonal, as they would be in a purely OS renormalization procedure which is often used in theories with flavor mixing [116].…”

Section: Countertermsmentioning

confidence: 99%

Precise prediction for the Higgs-Boson masses in the $${\varvec{\mu }}{\varvec{\nu }}$$SSM with three right-handed neutrino superfields

2019

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The μνSSM is a simple supersymmetric extension of the Standard Model (SM) capable of describing neutrino physics in agreement with experiments. We perform the complete one-loop renormalization of the neutral scalar sector of the μνSSM with three generation of righthanded neutrinos in a mixed on-shell/DR scheme. We calculate the full one-loop corrections to the neutral scalar masses of the μνSSM. The one-loop contributions are supplemented by available MSSM higher-order corrections. We obtain numerical results for a SM-like Higgs-boson mass consistent with experimental bounds, while simultaneously agreeing with neutrino oscillation data. We illustrate the distinct phenomenology of the μνSSM in scenarios in which one or more right-handed sneutrinos are lighter than the SMlike Higgs boson, which might be substantially mixed with them. These scenarios are experimentally accessible, on the one hand, through direct searches of the right-handed sneutrinos decaying into SM particles, and on the other hand, via the measurements of the SM-like Higgs-boson mass and its couplings. In this way the parameter space of the μνSSM can be probed without the need to propose model dependent searches at colliders. Finally, we demonstrate how the μνSSM can simultaneously accommodate two excesses measured at LEP and LHC at ∼ 96 GeV at the 1σ level, while at the same time reproducing neutrino masses and mixings in agreement with neutrino oscillation measurements. a

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“…where we emphasize that δm 2 h and δm 2 A are not diagonal, as they would be in a purely OS renormalization procedure which is often used in theories with flavor mixing [116].…”

Section: Countertermsmentioning

confidence: 99%

Precise prediction for the Higgs-Boson masses in the $${\varvec{\mu }}{\varvec{\nu }}$$SSM with three right-handed neutrino superfields

2019

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“…It should be noted at this point that the counterterm matrices in the mass eigenstate basis δm 2 h and δm 2 A are not diagonal, as they would be in a purely OS renormalization procedure, which is often used in theories with flavor mixing [85].…”

Section: Renormalization Of the Higgs Potential At One-loopmentioning

confidence: 99%

Precise prediction for the Higgs-boson masses in the $$\mu \nu $$ μ ν SSM

2018

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The μνSSM is a simple supersymmetric extension of the Standard Model (SM) capable of predicting neutrino physics in agreement with experiment. In this paper we perform the complete one-loop renormalization of the neutral scalar sector of the μνSSM with one generation of right-handed neutrinos in a mixed on-shell/DR scheme. The renormalization procedure is discussed in detail, emphasizing conceptual differences to the minimal (MSSM) and next-to-minimal (NMSSM) supersymmetric standard model regarding the field renormalization and the treatment of nonflavor-diagonal soft mass parameters, which have their origin in the breaking of R-parity in the μνSSM. We calculate the full one-loop corrections to the neutral scalar masses of the μνSSM. The one-loop contributions are supplemented by available MSSM higher-order corrections. We obtain numerical results for a SM-like Higgs boson mass consistent with experimental bounds. We compare our results to predictions in the NMSSM to obtain a measure for the significance of genuine μνSSM-like contributions. We only find minor corrections due to the smallness of the neutrino Yukawa couplings, indicating that the Higgs boson mass calculations in the μνSSM are at the same level of accuracy as in the NMSSM. Finally we show that the μνSSM can accomodate a Higgs boson that could explain an excess of γ γ events at ∼ 96 GeV as reported by CMS, as well as the 2 σ excess of bb events observed at LEP at a similar mass scale.

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“…In this section, let us derive the on-shell renormalization conditions and counterterms for stable Φ α . We will follow the steps discussed in reference [14]. First defining…”

Section: B Derivations Of Renormalization Conditions and Countertermsmentioning

confidence: 99%

Flavor mixing and renormalization in a perturbation theory

Lee

2020

Preprint

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The renormalization of theories with flavor mixing is discussed, and it is shown that the physical unstable particles should be interpreted as quasiparticles which cannot be regarded as external states. Several popular beliefs on renormalization are disproved accordingly, and the limitations of physical renormalization schemes are discussed. In addition, the properties of unstable particles with flavor mixing such as decay widths are studied from scattering mediated by them.

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Revisiting on-shell renormalization conditions in theories with flavor mixing

Cited by 7 publications

References 16 publications

Precise prediction for the Higgs-Boson masses in the $${\varvec{\mu }}{\varvec{\nu }}$$SSM with three right-handed neutrino superfields

Precise prediction for the Higgs-Boson masses in the $${\varvec{\mu }}{\varvec{\nu }}$$SSM with three right-handed neutrino superfields

Precise prediction for the Higgs-boson masses in the $$\mu \nu $$ μ ν SSM

Flavor mixing and renormalization in a perturbation theory

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