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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

The description of electroweak physics using perturbation theory is highly successful. Though not obvious, this is due to a subtle field-theoretical effect, the Fr\"ohlich-Morchio-Strocchi mechanism, which links the physical spectrum to…

High Energy Physics - Phenomenology · Physics 2016-01-18 Pascal Törek , 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

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

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

The manifestly gauge-invariant and non-perturbatively complete lattice formulation of the weak interactions and the Brout-Englert-Higgs effect is connected to the usual perturbative description in phenomenology via the…

High Energy Physics - Lattice · Physics 2026-03-16 Sofie Martins , Patrick Jenny , Axel Maas , Georg Wieland

In gauge theories, observable quantities have to be gauge-invariant. In general, this requires composite operators, which usually have substantially different properties, e.g. masses, than the elementary particles. Theories with a Higgs…

High Energy Physics - Lattice · Physics 2014-10-13 Axel Maas

Past lattice simulations tentatively suggested that the spectrum of observable particles in BSM theories is qualitatively different than perturbatively expected. The discrepancy can be traced back to nontrivial field-theoretical effects…

High Energy Physics - Lattice · Physics 2023-01-12 Elizabeth Dobson , Axel Maas , Bernd Riederer

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

We study a toy version of a grand-unified theory on the lattice: An $SU(3)$ gauge theory, which experiences a Brout-Englert-Higgs effect due to a single Higgs field in the fundamental representation. This yields a perturbative breaking…

High Energy Physics - Lattice · Physics 2017-01-11 A. Maas , P. Törek

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

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

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

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

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

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

Strict gauge invariance requires that physical left-handed leptons are actually bound states of the elementary left-handed lepton doublet and the Higgs field within the standard model. That they nonetheless behave almost like pure…

High Energy Physics - Lattice · Physics 2021-03-10 Vincenzo Afferrante , Axel Maas , René Sondenheimer , Pascal Törek

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

In many BSM theories, especially GUTs, introducing a Brout-Englert-Higgs effect allows for multiple breaking patterns of the gauge symmetry. The possibility to select a particular pattern is usually decisive for the phenomenological…

High Energy Physics - Lattice · Physics 2023-08-09 Elizabeth Dobson , Axel Maas , Bernd Riederer
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