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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…

高能物理 - 格点 · 物理学 2014-10-13 Axel Maas

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…

高能物理 - 唯象学 · 物理学 2019-02-14 Axel Maas , René Sondenheimer , Pascal 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…

高能物理 - 格点 · 物理学 2025-11-03 Georg Wieland , 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…

高能物理 - 格点 · 物理学 2018-09-11 Axel Maas , Pascal Törek

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…

高能物理 - 格点 · 物理学 2017-10-09 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…

高能物理 - 唯象学 · 物理学 2016-01-18 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…

高能物理 - 唯象学 · 物理学 2020-06-17 Axel Maas , Simon Fernbach , Lukas Lechner , Simon Plätzer , Robert Schöfbeck , Pascal Törek

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…

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…

高能物理 - 格点 · 物理学 2016-10-14 Pascal Törek , Axel Maas

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…

高能物理 - 格点 · 物理学 2018-07-02 Pascal Törek , 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…

高能物理 - 理论 · 物理学 2020-03-11 René Sondenheimer

We study the most general Two Higgs Doublet Model with $SU(2)$ gauge fields on the lattice. The phase space is probed through the computation of gauge-invariant global observables serving as proxies for order parameters. In each phase, the…

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…

高能物理 - 格点 · 物理学 2021-03-10 Vincenzo Afferrante , Axel Maas , René Sondenheimer , Pascal Törek

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…

高能物理 - 理论 · 物理学 2020-12-10 D. Dudal , D. M. van Egmond , M. S. Guimaraes , L. F. Palhares , G. Peruzzo , S. P. Sorella

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…

高能物理 - 格点 · 物理学 2020-11-30 Vincenzo Afferrante , Axel Maas , Pascal Törek

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…

高能物理 - 格点 · 物理学 2025-02-03 Elizabeth Dobson , Axel Maas , Simon Plätzer , Bernd Riederer

The $SU(2){-}$gauged custodial two-Higgs-doublet model, which shares the same global-symmetry properties with the standard model, is studied non-perturbatively on the lattice. The additional Higgs doublet enlarges the scalar spectrum and…

An SU(2) lattice gauge theory with two doublets of complex scalar fields is considered. All continuous symmetries are identified and, using the nonperturbative methods of lattice field theory, the phase diagram is mapped out by direct…

高能物理 - 格点 · 物理学 2010-09-02 Randy Lewis , R. M. Woloshyn

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…

高能物理 - 唯象学 · 物理学 2025-05-19 Axel Maas , Philipp Schreiner

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…

高能物理 - 格点 · 物理学 2026-03-16 Sofie Martins , Patrick Jenny , Axel Maas , Georg Wieland
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