Suppression of electroweak instanton processes in high-energy collisions

Khoze, Valentin V.; Milne, Daniel

doi:10.1142/s0217751x21500329

Cited by 8 publications

(6 citation statements)

References 30 publications

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“…While the latter has no significance for the dynamics of the model, it may play a role for the quantum effects for the electroweak sector. These terms are, in principle, not excluded and have been discussed in literature [23][24][25]. The result signifies also that computing the spectral action for the Wickrotated Lorentzian Dirac operator is important.…”

Section: Discussionmentioning

confidence: 98%

“…Therefore, the spectral action for this model contains terms which can be interpreted as the so-called θ-terms in the electroweak sector [23][24][25]. We remark that from the above derivation of the spectral action not only the presence of such terms is deduced but also the numerical value of the electroweak vacuum angle is fixed by the model.…”

Section: The Full Spectral Actionmentioning

confidence: 99%

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Spectral geometry for the standard model without fermion doubling

Bochniak

Sitarz

2020

Phys. Rev. D

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We propose a simple model of noncommutative geometry to describe the structure of the Standard Model, which satisfies spin c condition, has no fermion doubling, does not lead to the possibility of color symmetry breaking and explains the CP-violation as the failure of the reality condition for the Dirac operator. I. INTRODUCTIONThe Standard Model of particle interactions is certainly one of the most successful and best tested theory about the fundamental constituents of matter and the forces between them.Even though we still have no satisfactory description of the strong interactions in low-energy regime and there are some puzzles concerning masses and character of neutrinos as well as there are some experimental signs that could point out to new physics, the Standard Model appears to be robust and verified. Yet neither the content of fermion sector, the mixing between the families and the fundamentally different character of the Higgs boson from other gauge bosons appear to have a satisfactory geometrical explanation.One of the few theories that aimed to provide a sound geometrical basis for the structure of the Standard Model, explaining the appearance of the Higgs and symmetry-breaking potential, was noncommutative geometry (see [1][2][3]). Constructed with the core idea that spaces with points can be replaced with algebras provided a plausible explanation of the gauge group of the Standard Model and the particles in its representation as linked to the unitary group of a finite-dimensional algebra. Merged with the Kaluza-Klein idea that the physical spacetime has extra dimensions, the geometry of the finite-dimensional algebra (in the noncommutative sense) gave rise to the Higgs field understood as a connection, and the Higgs symmetry-breaking potential appeared as the usual Yang-Mills term in the action.The original model, which is based on the construction of a product geometry, with the resulting geometry being the tensor product of a usual "commutative" space with the finitedimensional noncommutative geometry suffers from two problems. Firstly, in the original

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Section: Discussionmentioning

confidence: 98%

Section: The Full Spectral Actionmentioning

confidence: 99%

Spectral geometry for the standard model without fermion doubling

Bochniak

Sitarz

2020

Phys. Rev. D

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“…While the latter has no significance for the dynamics of the model, it may play a role in the quantum effects for the electroweak sector. These terms are, in principle, not excluded and have been discussed in literature [27][28][29]. The result signifies also that computing the spectral action for the Wickrotated Lorentzian Dirac operator is important.…”

Section: Discussionmentioning

confidence: 99%

“…Therefore, the spectral action for this model contains terms that can be interpreted as the so-called θ-terms in the electroweak sector [27][28][29]. We remark that from the above derivation of the spectral action not only the presence of such terms is deduced but also the numerical value of the electroweak vacuum angle is fixed by the model.…”

Section: Jhep12(2021)142mentioning

confidence: 99%

Spectral action and the electroweak θ-terms for the Standard Model without fermion doubling

Bochniak

Sitarz

Zalecki

2021

J. High Energ. Phys.

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We compute the leading terms of the spectral action for a noncommutative geometry model that has no fermion doubling. The spectral triple describing it, which is chiral and allows for CP-symmetry breaking, has the Dirac operator that is not of the product type. Using Wick rotation we derive explicitly the Lagrangian of the model from the spectral action for a flat metric, demonstrating the appearance of the topological θ-terms for the electroweak gauge fields.

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“…The question whether manifestations of such topological fluctuations can be directly observed in high-energy experiments was already raised in the 1980s, in the context of the electroweak sector [19][20][21][22]. However, the difficulty of obtaining a coherent state makes these processes likely to remain unobservable at current and future colliders [23,24]. The situation is different for QCD Instanton processes, for which the energy barrier height, M Sp ∼ 3π 4α s ρ eff ∼ Q [25], with α s the strong coupling and the parameter Q related to the energy scale of the underlying process, can be as low as a few GeV.…”

Section: Introductionmentioning

confidence: 99%

How to discover QCD Instantons at the LHC

2021

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The Standard Model of particle physics predicts the existence of quantum tunnelling processes across topological inequivalent vacua, commonly known as Instantons. In Quantum Chromodynamics, these Instantons play a fundamental role in explaining much of the theory long-distance behaviour. However, they have not yet been observed experimentally. Their direct observation would mark a breakthrough in modern particle physics, shedding light on our fundamental understanding of the non perturbative dynamics in the Standard Model. Recently, new calculations for QCD Instanton processes in proton–proton collisions became public, suggesting sizeable cross sections as well as possible experimental signatures at the LHC. In this work, we explore possible analysis strategies for the LHC experiments to discover small-size QCD Instanton induced processes. Moreover, we derive a first limit on the Instanton production cross section using published data of Minimum Bias processes at $$\sqrt{s}=$$ s = 13 TeV at the LHC.

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Suppression of electroweak instanton processes in high-energy collisions

Cited by 8 publications

References 30 publications

Spectral geometry for the standard model without fermion doubling

Spectral geometry for the standard model without fermion doubling

Spectral action and the electroweak θ-terms for the Standard Model without fermion doubling

How to discover QCD Instantons at the LHC

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