Towards the spectrum of a GUT from gauge invariance

Toerek, Pascal; Maas, Axel

doi:10.22323/1.245.0073

Cited by 2 publications

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“…The singlet scalar is essentially the same as in the standard model, described by an operator like (72). Gauge-invariant perturbation theory yields that the only particle in this channel has the same mass as the higgs particle of perturbation theory [177,205,351], though the scheme issues are naturally [205]. The two masses are predicted to be the same in gauge-invariant perturbation theory.…”

Section: Enlarged Gauge Symmetrymentioning

confidence: 95%

“…Interestingly, when increasing in the N = 3 case the number of higgs fields to two, increasing the global symmetry to a SU(2)×U(1) symmetry, gauge-invariant perturbation theory again predicts that more of the perturbative states reappear in the spectrum [177,351]. Whether it is completely recovered requires further investigations, especially for generalizations of the tensor operator (98).…”

Section: Enlarged Gauge Symmetrymentioning

confidence: 99%

“…The situation becomes more interesting for the singlet vector. The simplest operator in the singlet channel and its FMS expansion is [205,351]…”

Section: Enlarged Gauge Symmetrymentioning

confidence: 99%

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Brout–Englert–Higgs physics: From foundations to phenomenology

Maas

2019

Progress in Particle and Nuclear Physics

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107

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Brout-Englert Higgs physics is one of the most central and successful parts of the standard model. It is also part of a multitude of beyond-the-standard-model scenarios.The aim of this review is to describe the field-theoretical foundations of Brout-Englert-Higgs physics, and to show how the usual phenomenology arises from it. This requires to give a precise and gauge-invariant meaning to the underlying physics. This is complicated by the fact that concepts like the Higgs vacuum expectation value or the separation between confinement and the Brout-Englert-Higgs effect loose their meaning beyond perturbation theory. This is addressed by carefully constructing the corresponding theory space and the quantum phase diagram of theories with elementary Higgs fields and gauge interactions.The physical spectrum needs then to be also given in terms of gauge-invariant, i. e. composite, states. Using gauge-invariant perturbation theory, as developed by Fröhlich, Morchio, and Strocchi, it is possible to rederive conventional perturbation theory in this framework. This derivation explicitly shows why the description of the standard model in terms of the unphysical, gaugedependent, elementary states of the Higgs and W -bosons and Z-boson, but also of the elementary fermions, is adequate and successful.These are unavoidable consequences of the field theory underlying the standard model, from which the usual picture emerges. The validity of this emergence can only be tested non-perturbatively. Such tests, in particular using lattice gauge theory, will be reviewed as well. They fully confirm the underlying mechanisms.In this course it will be seen that the structure of the standard model is very special, and qualitative changes occur beyond it. The extension beyond the standard model will therefore also be reviewed. Particular attention will be given to structural differences arising for phenomenology. Again, non-perturbative tests of these results will be reviewed.Finally, to make this review self-contained a brief discussion of issues like the triviality and hierarchy problem, and how they fit into a fundamental field-theoretical formulation, is included. If there is no gauge-invariant way of defining the vacuum expectation value of the Higgs, the whole standard procedure [14] of doing BEH physics seems to collapse on itself at first. This seems to question the whole basis of the current theoretical description of experiments, despite its huge success [10]. But it does not. Rather, it can be shown that a treatment taking the gauge-dependence into account will lead to, essentially, the same results for the standard model.How this works out is exactly the core of this review: The construction of a fully gauge-invariant description of this physics, and how the standard phenomenology follows from it. This starts in section 3. There, a gauge-invariant description of the theory (3) will be set up. This is the first step of developing a comprehensive, field-theoretical consistent view on BEH physics. This view is continued by establis...

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Section: Enlarged Gauge Symmetrymentioning

confidence: 95%

Section: Enlarged Gauge Symmetrymentioning

confidence: 99%

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Brout–Englert–Higgs physics: From foundations to phenomenology

Maas

2019

Progress in Particle and Nuclear Physics

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107

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“…In particular in the Standard Model, there is no spontaneous symmetry breaking neither of the gauge nor of the global (custodial) symmetry group of the Higgs potential. It is therefore a-priori not clear whether in theories with a different Higgs sector a similar argument could be made, and therefore whether perturbation theory would be at all able to predict correctly the observable particle spectrum [13,14].…”

Section: Introductionmentioning

confidence: 99%

Gauge invariance and the physical spectrum in the two-Higgs-doublet model

Maas

Pedro

2016

Phys. Rev. D

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Observable states are gauge-invariant. In a non-Abelian gauge theory, these are necessarily composite operators. We investigate the spectrum of these operators in the two-Higgsdoublet model. For this purpose, we are working along the lines of the Fröhlich-Morchio-Strocchi mechanism to relate the physical spectrum to the spectrum of the elementary particles. We also investigate the consequences of spontaneous breaking of the global (custodial) symmetry group. Finally, we briefly comment on how to test the results using lattice methods.

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Towards the spectrum of a GUT from gauge invariance

Cited by 2 publications

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Brout–Englert–Higgs physics: From foundations to phenomenology

Brout–Englert–Higgs physics: From foundations to phenomenology

Gauge invariance and the physical spectrum in the two-Higgs-doublet model

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