Higgs and W boson spectrum from lattice simulations

Wurtz, Mark; Lewis, Randy

doi:10.48550/arxiv.1307.1492

Cited by 3 publications

(13 citation statements)

References 40 publications

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“…Of course, it is possible to doubt the correctness of the expansion 7 . But the prediction has been confirmed non-perturbatively in various lattice calculations for the weak-Higgs theory with one doublet [25,26,35,36]. Thus, the FMS mechanism appears to be indeed the correct description of the electroweak theory.…”

Section: The Fms Mechanismmentioning

confidence: 90%

“…tr(U (x, x, C ′ )) with C ′ a closed path [24] (in classical field theory it is proved, in quantum field theory it is believed). Non-perturbatively, these operators also carry all the information about the bound-state spectrum, if they have non-zero overlap with all states [25,26]. SU (2) L matrix (with no Higgs flavor indices) and so it satisfies…”

Section: Gauge-invariant Operatorsmentioning

confidence: 99%

“…• the binding energy of the interactions from the Higgs potential is extremely weak when it exists at all [32][33][34] (for the parameters' scale around the Standard Model) and so the energy spectrum starts at ∼ 2mH. Moreover no evidence that such bound states exist have yet been found for the Standard Model [25,26].…”

Section: The Expansion Of H †mentioning

confidence: 99%

“…Lattice simulations are a possible tool, and 2HDM are accessible in such simulations [19,20]. Calculating the spectrum and testing the FMS mechanism is a straightforward extension of [25,26,36],…”

Section: Lattice Simulationsmentioning

confidence: 99%

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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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Section: The Fms Mechanismmentioning

confidence: 90%

Section: Gauge-invariant Operatorsmentioning

confidence: 99%

Section: The Expansion Of H †mentioning

confidence: 99%

Section: Lattice Simulationsmentioning

confidence: 99%

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

Maas

Pedro

2016

Phys. Rev. D

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“…and the (non-perturbative) lattice simulations so far support this picture [28,43,44]. Therefore, it is important to confront these definitions, not only for formal reasons, but also for phenomenological reasons since non-perturbative methods such as lattice simulations [45] and the functional renormalization group [46] are becoming increasingly relevant in the studies of Electroweak physics and beyond, and are well established in Flavour physics and Quantum Chromodynamics (QCD).…”

Section: Introductionmentioning

confidence: 99%

Relating spontaneous and explicit symmetry breaking in the presence of the Higgs mechanism

Pedro¹

2016

Preprint

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One common way to define spontaneous symmetry breaking involves explicit symmetry breaking. This definition can be used in any approach to Effective Field Theory, from perturbation theory to lattice simulations. It allows us to study the spontaneous breakdown of global symmetries without assuming that the local gauge symmetry is spontaneously broken. This is important since perturbation theory is insufficient to study extended Higgs sectors: it is insufficient to predict the physical spectrum of the SU (5) Grand Unified Theory (Georgi-Glashow) or to predict the spontaneous breakdown of global symmetries.We also study background symmetries: these are symmetries that despite they are already explicitly broken, can be still spontaneously broken. We analyse examples where a background CP (charge-parity) symmetry is not spontaneously broken: in the Standard Model, in rephasing symmetries and in geometrical CP-violation.We show that all fields are real representations of the group of symmetries, since CP is a unitary transformation. There are consequences: to study accidental symmetries (e.g. custodial symmetry, pseudo-golstone bosons) we must consider real representations; CP is a symmetry of order 4 if the neutrinos are Majorana particles and the notion of CP-violating phases is inconsistent in some Lagrangians; a recent claim that a toy model exhibits physical CP-violation while the CP symmetry is conserved by the Lagrangian and the vacuum is false.

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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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Higgs and W boson spectrum from lattice simulations

Cited by 3 publications

References 40 publications

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

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

Relating spontaneous and explicit symmetry breaking in the presence of the Higgs mechanism

Vector boson scattering from the lattice

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