Secants of Trajectories in Dimension Three

Alonso-González, Clementa; Cano, Felipe; Rosas, Rudy

doi:10.1007/978-3-642-38830-9_1

Cited by 1 publication

(5 citation statements)

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“…To obtain more natural ALP models, the minimality conditions stated in this analysis should be, in some way, relaxed, attempting to suppress the aW W and aZZ couplings (see Ref. [56] for such possibility).…”

Section: Discussionmentioning

confidence: 99%

“…As in the minimal AMLσM only the third generation fermions are considered, no relevant bound can be deduced considering these constraints. This analysis is postponed to further investigation[56].…”

mentioning

confidence: 99%

“…The discussion on the consequences of PQ explicit breaking contributions, on its interest in cosmological studies, and on the case where the SO(5)/SO(4) and PQ symmetry breaking occur at the same scale is deferred to Ref [56]…”

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confidence: 99%

“…In the present discussion, only one fermion generation has been considered. Once extending this study to the realistic case of three generations[56], the values reported in Tab. 2 will be modified: for example, assuming that the same charges will be adopted for all the fermion generations, the numerical values in the table will be multiplied by a factor 3.…”

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confidence: 99%

“…In Ref [56],. an ALP model in the MLσM will be presented where the fine-tuning problem is solved, but at the price of renouncing to one of the assumptions listed in Sect.…”

mentioning

confidence: 99%

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The minimal axion minimal linear $$\sigma $$σ model

2018

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The minimal SO(5)/SO(4) linear σ model is extended including an additional complex scalar field, singlet under the global SO(5) and the Standard Model gauge symmetries. The presence of this scalar field creates the conditions to generate an axion à la KSVZ, providing a solution to the strong CP problem, or an axion-like-particle. Different choices for the PQ charges are possible and lead to physically distinct Lagrangians. The internal consistency of each model necessarily requires the study of the scalar potential describing the SO(5) → SO(4), electroweak and PQ symmetry breaking. A single minimal scenario is identified and the associated scalar potential is minimised including counterterms needed to ensure one-loop renormalizability. In the allowed parameter space, phenomenological features of the scalar degrees of freedom, of the exotic fermions and of the axion are illustrated. Two distinct possibilities for the axion arise: either it is a QCD axion with an associated scale larger than ∼ 10 5 TeV and therefore falling in the category of the invisible axions; or it is a more massive axion-like-particle, such as a 1 GeV axion with an associated scale of ∼ 200 TeV, that may show up in collider searches.

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Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

“…In Ref [56],. an ALP model in the MLσM will be presented where the fine-tuning problem is solved, but at the price of renouncing to one of the assumptions listed in Sect.…”

mentioning

confidence: 99%

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