Exploring SU(3)-Higgs theories

Dobson, Elizabeth; Maas, Axel; Riederer, Bernd

doi:10.48550/arxiv.2110.15670

Cited by 2 publications

(2 citation statements)

References 20 publications

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“…In general it is possible to construct operators with arbitrary J P C , see e.g. [31,33,34]. Here we aim at investigating the elastic region in the scalar singlet channel.…”

Section: Particles and The Scattering Processmentioning

confidence: 99%

Vector boson scattering from the lattice

Jenny,

Maas,

Riederer

2022

Preprint

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We study vector-boson scattering of the physical, gauge-invariant states in a reduced standardmodel setup on the lattice for various parameter sets. To this end, the phase shift in the scalar channel is determined using a Lüscher-type analysis. The results can be readily interpreted in terms of the Higgs properties and a reunitarized Fröhlich-Morchio-Strocchi analysis at Born level. The only deviation appears for a Higgs mass below the elastic threshold, where we find a negative scattering length indicative of the bound-state nature of the physical scalar degree of freedom. We assess the possible implications for an experimental detection of the effect.

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“…In general it is possible to construct operators with arbitrary J P C , see e.g. [31,33,34]. Here we aim at investigating the elastic region in the scalar singlet channel.…”

Section: Particles and The Scattering Processmentioning

confidence: 99%

Vector boson scattering from the lattice

Jenny,

Maas,

Riederer

2022

Preprint

Self Cite

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“…[18]. We consider gauge-invariant 'building block' operators (chosen to have minimal field content in order to reduce noise) of the form [19,20] 𝑓…”

Section: Gauge-invariant Operatorsmentioning

confidence: 99%

The spectrum of GUT-like gauge-scalar models

Dobson¹,

Maas²,

Riederer³

2022

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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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 arising from the requirement of gauge invariance. A perturbative but gauge-invariant approach working directly with bound states (as proposed by Fröhlich, Morchio and Strocchi) could provide a solution, by allowing composite-state effects to be treated within a perturbative framework. We consider a toy GUT-like theory -SU(3) Yang-Mills coupled to a scalar 'Higgs' in the fundamental representation -and expand on previous work by providing the most comprehensive spectroscopy to date, including all channels up to spin 2. Our results strongly support the general conclusion that the elementary spectrum is not an adequate proxy for the low-energy spectrum of a GUT, and also suggest a possible analytical approach to BSM model-building via the Fröhlich-Morchio-Strocchi approach.

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Exploring SU(3)-Higgs theories

Cited by 2 publications

References 20 publications

Vector boson scattering from the lattice

Vector boson scattering from the lattice

The spectrum of GUT-like gauge-scalar models

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