Supersymmetric and non-supersymmetric models without catastrophic Goldstone bosons

Braathen, Johannes; Goodsell, Mark D.; Staub, Florian

doi:10.1140/epjc/s10052-017-5303-x

Cited by 55 publications

(97 citation statements)

References 99 publications

(190 reference statements)

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“…Nevertheless, the results of Ref. [65] shall be included in SARAH in the near future to have a rigorous solution to the Goldstone boson catastrophe which is independent of any regulator [66].…”

Section: Higgs Mass Beyond the Mssmmentioning

confidence: 99%

Improved predictions for intermediate and heavy supersymmetry in the MSSM and beyond

Staub

Porod

2017

Eur. Phys. J. C

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For a long time, the minimal supersymmetric standard model (MSSM) with light masses for the supersymmetric states was considered as the most natural extension of the Standard Model of particle physics. Consequently, a valid approximation was to match the MSSM to the precision measurement directly at the electroweak scale. This approach was also utilized by all dedicated spectrum generators for the MSSM. However, the higher the supersymmetric (SUSY) scale is, the bigger the uncertainties which are introduced by this matching. We point out important consequences of a two-scale matching, where the running parameters within the SM are calculated at M Z and evaluated up to the SUSY scale, where they are matched to the full model. We show the impact on gauge coupling unification as well as the SUSY mass spectrum. Also the Higgs mass prediction for large supersymmetric masses has been improved by performing the calculation within an effective SM. The approach presented here is now also available in the spectrum generator SPheno. Moreover, also SARAH was extended accordingly and gives the possibility to study these effects now in many different supersymmetric models.

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Section: Higgs Mass Beyond the Mssmmentioning

confidence: 99%

Improved predictions for intermediate and heavy supersymmetry in the MSSM and beyond

Staub

Porod

2017

Eur. Phys. J. C

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“…The only exception is Ref. [34] which has pointed out that an on-shell renormalisation of the model is not possible without breaking the custodial symmetry. Moreover, it was found that the loop corrections to the scalar mass matrices can become huge.…”

Section: Broken Custodial Symmetrymentioning

confidence: 99%

“…In the specific case of the GM model, it was pointed out in Ref. [34] that problems with perturbation theory can show up for even smaller coupling values. It was observed that, in sizeable regions of the parameter space of the GM model, the twoloop corrections to masses can become larger than the oneloop contributions.…”

Section: Perturbativity Constraintsmentioning

confidence: 99%

“…A first idea in that direction was shown in Ref. [34] where the one-and two-loop corrections to the scalar masses in the MS scheme were compared. If the two-loop corrections become larger than the one-loop corrections, this already points already towards a problem.…”

Section: Introductionmentioning

confidence: 99%

“…Indeed, it has been shown in Ref. [34] at the example of the GM model that the two-loop corrections can be several times as large as the one-loop corrections.…”

Section: Introductionmentioning

confidence: 99%

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Perturbativity constraints in BSM models

Krauss¹,

Staub

2018

Eur. Phys. J. C

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Phenomenological studies performed for nonsupersymmetric extensions of the Standard Model usually use tree-level parameters as input to define the scalar sector of the model. This implicitly assumes that a full on-shell calculation of the scalar sector is possible -and meaningful. However, this doesn't have to be the case as we show explicitly at the example of the Georgi-Machacek model. This model comes with an appealing custodial symmetry to explain the smallness of the ρ parameter. However, the model cannot be renormalised on-shell without breaking the custodial symmetry. Moreover, we find that it can often happen that the radiative corrections are so large that any consideration based on a perturbative expansion appears to be meaningless: counter-terms to quartic couplings can become much larger than 4π and/or two-loop mass corrections can become larger than the one-loop ones. Therefore, conditions are necessary to single out parameter regions which cannot be treated perturbatively. We propose and discuss different sets of such perturbativity conditions and show their impact on the parameter space of the Georgi-Machacek model. Moreover, the proposed conditions are general enough that they can be applied to other models as well. We also point out that the vacuum stability constraints in the Georgi-Machacek model, which have so far only been applied at the tree level, receive crucial radiative corrections. We show that large regions of the parameter space which feature a stable electroweak vacuum at the loop level would have been -wrongly -ruled out by the tree-level conditions.

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External leg corrections as an origin of large logarithms

Bahl

Braathen

Weiglein

2022

J. High Energ. Phys.

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The appearance of large logarithmic corrections is a well-known phenomenon in the presence of widely separated mass scales. In this work, we point out the existence of large Sudakov-like logarithmic contributions related to external-leg corrections of heavy scalar particles which cannot be resummed straightforwardly using renormalisation group equations. Based on a toy model, we discuss in detail how these corrections appear in theories containing at least one light and one heavy particle that couple to each other with a potentially large trilinear coupling. We show how the occurrence of the large logarithms is related to infrared singularities. In addition to a discussion at the one-loop level, we also explicitly derive the two-loop corrections containing the large logarithms. We point out in this context the importance of choosing an on-shell-like renormalisation scheme. As exemplary applications, we present results for the two-loop external-leg corrections for the decay of a gluino into a scalar top quark and a top quark in the Minimal Supersymmetric extension of the Standard Model as well as for a heavy Higgs boson decay into two tau leptons in the singlet-extended Two-Higgs-Doublet Model.

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Supersymmetric and non-supersymmetric models without catastrophic Goldstone bosons

Cited by 55 publications

References 99 publications

Improved predictions for intermediate and heavy supersymmetry in the MSSM and beyond

Improved predictions for intermediate and heavy supersymmetry in the MSSM and beyond

Perturbativity constraints in BSM models

External leg corrections as an origin of large logarithms

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