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The physical, observable spectrum in gauge theories is made up from gauge-invariant states. The Fr\"ohlich-Morchio-Strocchi mechanism allows in the standard model to map these states to the gauge-dependent elementary $W$, $Z$ and Higgs…

High Energy Physics - Phenomenology · Physics 2019-02-14 Axel Maas , René Sondenheimer , Pascal Törek

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-Higgs-doublet model. For this purpose, we are working along the lines…

High Energy Physics - Phenomenology · Physics 2016-03-17 Axel Maas , Leonardo Pedro

Even at weak coupling the physical, observable spectrum of gauge theories with a Brout-Englert-Higgs effect can deviate from the elementary one of perturbation theory. This can be analytically described and treated using the…

High Energy Physics - Lattice · Physics 2018-07-02 Pascal Törek , Axel Maas

Manifest gauge-invariance requires that observable states in the standard-model are described by composite operators, which involve additional Higgs contributions beyond perturbation theory. This field-theoretical effect has been confirmed…

High Energy Physics - Phenomenology · Physics 2020-06-17 Axel Maas , Simon Fernbach , Lukas Lechner , Simon Plätzer , Robert Schöfbeck , Pascal Törek

Subtle, but long-known, field-theoretical aspects require a more refined treatment of gauge theories involving a Brout-Englert-Higgs effect. This refinement can be done analytically using the Fr\"ohlich-Morchio-Strocchi mechanism. In the…

High Energy Physics - Phenomenology · Physics 2023-05-15 Axel Maas

In gauge theories, the physical, experimentally observable spectrum consists only of gauge-invariant states. This spectrum can be different from the elementary spectrum even at weak coupling and in the presence of the Brout-Englert-Higgs…

High Energy Physics - Lattice · Physics 2018-09-11 Axel Maas , Pascal Törek

Gauge-invariant perturbation theory for theories with a Brout-Englert-Higgs effect, as developed by Fr\"ohlich, Morchio and Strocchi, starts out from physical, exactly gauge-invariant quantities as initial and final states. These are…

High Energy Physics - Lattice · Physics 2016-10-14 Pascal Törek , Axel Maas

Gauge invariance requires physical states to be composite, even in the weak sector of the Standard Model (SM). The Fr\"ohlich-Morchio-Strocchi (FMS) mechanism resolves this subtlety and predicts additional Higgs contributions in SM…

High Energy Physics - Lattice · Physics 2025-11-03 Georg Wieland , Axel Maas

The requirement of manifest gauge invariance leads to a conflict between perturbative and non-perturbative predictions for the low-energy spectra of grand-unified theories. These conflicts already emerge in simplified prototype models of…

High Energy Physics - Lattice · Physics 2022-11-14 Elizabeth Dobson , Axel Maas , Bernd Riederer

In gauge theories, the physical, experimentally observable spectrum consists only of gauge-invariant states. In the standard model the Fr\"ohlich-Morchio-Strocchi mechanism shows that these states can be adequately mapped to the…

High Energy Physics - Lattice · Physics 2017-10-09 Axel Maas , René Sondenheimer , Pascal Törek

Scalar particles in the adjoint representation of a non-Abelian gauge theory play an important role in many scenarios beyond the standard model, especially of GUT type. For such theories manifestly gauge-invariant, massless, composite…

High Energy Physics - Lattice · Physics 2020-11-30 Vincenzo Afferrante , Axel Maas , Pascal Törek

Formal field theory requires, even in the presence of a Brout-Englert-Higgs effect, to maintain manifest non-perturbative gauge invariance. The Fr\"ohlich-Morchio-Strocchi mechanism allows nonetheless an augmented perturbative treatment. We…

High Energy Physics - Phenomenology · Physics 2025-05-19 Axel Maas , Philipp Schreiner

The spectrum of nonabelian gauge theories cannot be described in terms of elementary particles, and so must be constructed from gauge-invariant composite operators, even in the presence of a Brout--Englert--Higgs effect. This leads to…

High Energy Physics - Lattice · Physics 2025-02-03 Elizabeth Dobson , Axel Maas , Simon Plätzer , Bernd Riederer

We apply the method proposed by Fr\"ohlich, Morchio, and Strocchi to analyze the bound state spectrum of various gauge theories with a Brout-Englert-Higgs mechanism. These serve as building blocks for theories beyond the standard model but…

High Energy Physics - Theory · Physics 2020-03-11 René Sondenheimer

Taking manifest invariance under both gauge symmetry and diffeomorphisms as a guiding principle physical objects are constructed for Yang-Mills-Higgs theory coupled to quantum gravity. These objects are entirely classified by quantum…

High Energy Physics - Theory · Physics 2020-04-08 Axel Maas

It is proposed to replace the Higgs boson of the standard model by a Lorentz- and gauge-invariant combination of SU(2) gauge bosons. A pair of Higgs bosons is identified with pairs of gauge bosons by setting their mass Lagrangians equal to…

High Energy Physics - Phenomenology · Physics 2015-11-18 F. J. Himpsel

The spectral properties of a set of local gauge (BRST) invariant composite operators are investigated in the $SU(2)$ Yang--Mills--Higgs model with a single Higgs field in the fundamental representation, quantized in the 't Hooft…

High Energy Physics - Theory · Physics 2020-12-10 D. Dudal , D. M. van Egmond , M. S. Guimaraes , L. F. Palhares , G. Peruzzo , S. P. Sorella

We investigate the phenomenological consequences of a strict gauge-invariant formulation of the Higgs particle. This requires a description of the observable scalar particle in terms of a bound state structure. Although this seems to be at…

High Energy Physics - Phenomenology · Physics 2021-01-04 Axel Maas , René Sondenheimer

One of the major problems in developing new physics scenarios is that very often the parameters can be adjusted such that in perturbation theory almost all experimental low-energy results can be accommodated. It is therefore desirable to…

High Energy Physics - Phenomenology · Physics 2015-08-18 Axel Maas

The spectral properties of a set of local gauge-invariant composite operators are investigated in the $U(1)$ Higgs model quantized in the 't Hooft $R_{\xi}$ gauge. These operators enable us to give a gauge-invariant description of the…

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