Resummation of Goldstone boson contributions to the MSSM effective potential

Kumar, Nilanjana; Martin, Stephen P.

doi:10.1103/physrevd.94.014013

Cited by 19 publications

(42 citation statements)

References 89 publications

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“…(For further perspectives and developments on this issue, see refs. [19][20][21][22][23][24][25].) The end result can be written as a relation between the tree-level and loop-corrected VEVs:…”

Section: Introductionmentioning

confidence: 99%

Standard model parameters in the tadpole-free pure MS¯ scheme

Martin

Robertson

2019

Phys. Rev. D

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We present an implementation and numerical study of the Standard Model couplings, masses, and vacuum expectation value (VEV), using the pure MS renormalization scheme based on dimensional regularization. Here, the MS Lagrangian parameters are treated as the fundamental inputs, and the VEV is defined as the minimum of the Landau gauge effective potential, so that tadpole diagrams vanish, resulting in improved convergence of perturbation theory. State-of-the-art calculations relating the MS inputs to on-shell observables are implemented in a consistent way within a public computer code library, SMDR (Standard Model in Dimensional Regularization), which can be run interactively or called by other programs. Included here for the first time are the full 2-loop contributions to the Fermi constant within this scheme and studies of the minimization condition for the VEV at 3-loop order with 4-loop QCD effects. We also implement, and study the scale dependence of, all known multi-loop contributions to the physical masses of the Higgs boson, the W and Z bosons, and the top quark, the fine structure constant and weak mixing angle, and the renormalization group equations and threshold matching relations for the gauge couplings, fermion masses, and Yukawa couplings. Contents

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Section: Introductionmentioning

confidence: 99%

Standard model parameters in the tadpole-free pure MS¯ scheme

Martin

Robertson

2019

Phys. Rev. D

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“…Recently a solution was proposed in the context of the Standard Model [27,28] (see also [29][30][31] for recent related work) and then extended to the MSSM [32] which involved resumming (a subset of) the Goldstone boson propagators. An alternative for the Standard Model based on the 2PI effective action was proposed in [33][34][35], where essentially all particle propagators are resummed.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric and non-supersymmetric models without catastrophic Goldstone bosons

2017

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The calculation of the Higgs mass in general renormalisable field theories has been plagued by the socalled "Goldstone Boson Catastrophe," where light (wouldbe) Goldstone bosons give infra-red divergent loop integrals. In supersymmetric models, previous approaches included a workaround that ameliorated the problem for most, but not all, parameter space regions; while giving divergent results everywhere for non-supersymmetric models! We present an implementation of a general solution to the problem in the public code SARAH, along with new calculations of some necessary loop integrals and generic expressions. We discuss the validation of our code in the Standard Model, where we find remarkable agreement with the known results. We then show new applications in Split SUSY, the NMSSM, the Two-Higgs-Doublet Model, and the Georgi-Machacek model. In particular, we take some first steps to exploring where the habit of using tree-level mass relations in nonsupersymmetric models breaks down, and show that the loop corrections usually become very large well before naive perturbativity bounds are reached.

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“…(For an alternative treatment of the necessary basis integral functions, see [9].) When the tree-level Goldstone boson squared mass is small or negative, as indeed occurs in the Standard Model, infrared (IR) divergences or spurious imaginary parts arise in the effective potential, but it has been shown that a resummation of Goldstone boson propagator contributions cures this issue [10,11]; for further development and related perspectives, see [12][13][14][15][16][17][18]. The 4-loop contributions to the Standard Model effective potential at leading order in QCD are also known [19].…”

Section: Introductionmentioning

confidence: 99%

Two-loop effective potential for generalized gauge fixing

Martin

Patel

2018

Phys. Rev. D

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We obtain the two-loop effective potential for general renormalizable theories, using a generalized gauge-fixing scheme that includes as special cases the backgroundfield R ξ gauges, the Fermi gauges, and the familiar Landau gauge, and using dimensional regularization in the bare and MS renormalization schemes. As examples, the results are then specialized to the Abelian Higgs model and to the Standard Model. In the case of the Standard Model, we study how the vacuum expectation value and the minimum vacuum energy depend numerically on the gauge-fixing parameters. The results at fixed two-loop order exhibit non-convergent behavior for sufficiently large gauge-fixing parameters; this can presumably be addressed by a resummation of higher-order contributions.

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Resummation of Goldstone boson contributions to the MSSM effective potential

Cited by 19 publications

References 89 publications

Standard model parameters in the tadpole-free pure MS¯ scheme

Standard model parameters in the tadpole-free pure MS¯ scheme

Supersymmetric and non-supersymmetric models without catastrophic Goldstone bosons

Two-loop effective potential for generalized gauge fixing

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