Accidental SO(10) axion from gauged flavour

Di Luzio, Luca

doi:10.48550/arxiv.2008.09119

Cited by 4 publications

(9 citation statements)

References 69 publications

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“…Fortunately, it was possible to compute the expression V for these blocks analytically. 22 2. Details of the numerical procedure…”

Section: (A6)mentioning

confidence: 99%

“…For a more detailed discussion, we refer the interested reader to the literature [46][47][48]. We 22 There exists an analytically-computable smooth Jordan decomposition for them. mimic the procedure from [48] in particular to derive the algorithm for the numeric evaluation of the expansion coefficients in Eq.…”

Section: A Preliminaries and Notationmentioning

confidence: 99%

“…For these reasons, the minimal SO (10) GUT has attracted a lot of attention in recent years with a number of interesting works touching upon its specific aspects, often within the bigger phenomenological picture; see e.g. [17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

“…This for example leads to conditions in Eqs. (22) and (23) for the a 2 → 0 limit. Alternatively, alternating signs of coefficients in the characteristic polynomial also imply positive definiteness of the spectrum.…”

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confidence: 99%

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Quantum guts of the minimal potentially realistic $\mathrm{SO}(10)$ Higgs model

Jarkovská,

Malinský,

Mede

et al. 2021

Preprint

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We study several aspects of the quantum structure of the minimal potentially realistic renormalizable SO( 10) Higgs model in which the 45 ⊕ 126 scalars spontaneously break the symmetry down to the Standard Model group SU(3) c × SU(2) L × U(1) Y . With a complete information about the one-loop corrections to the masses of all scalars in the theory and the one-loop beta functions governing the running of all dimensionless scalar self-couplings, the domains of the parameter space where the model can be treated perturbatively are established, along with improved bounds from the requirements of the SM vacuum stability and gauge coupling unification. We demonstrate that the model is fully consistent and potentially realistic only in very narrow regions of the parameter space corresponding to the breaking chains with well pronounced SU(4) C × SU(2) L × U(1) R and SU(3) c × SU(2) L × SU(2) R × U(1) B−L intermediate symmetries, with a clear preference for the former case. Barring accidental fine-tunings in the scalar sector, this makes it possible to provide a very sharp prediction for the position of the unification scale and the value of the associated gauge coupling, with clear implications for the phenomenology of grand unified models based on this structure.

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“…Fortunately, it was possible to compute the expression V for these blocks analytically. 22 2. Details of the numerical procedure…”

Section: (A6)mentioning

confidence: 99%

Section: A Preliminaries and Notationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Quantum guts of the minimal potentially realistic $\mathrm{SO}(10)$ Higgs model

Jarkovská,

Malinský,

Mede

et al. 2021

Preprint

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“…Additional attempts to build an accidental Peccei-Quinn invariance in theories of Grand Unification can be found in Refs. [5,53]. For an extensive review of QCD axion models we refer the reader to Ref.…”

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confidence: 99%

Chiral models of composite axions and accidental Peccei-Quinn symmetry

Contino,

Podo,

Revello

2021

Preprint

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We introduce a class of composite axion models that provide a natural solution to the strong CP problem, and possibly account for the observed dark matter abundance.The QCD axion arises as a composite Nambu-Goldstone boson (NGB) from the dynamics of a chiral gauge theory with a strongly interacting and confining SU(N) factor and a weakly interacting U(1), with no fundamental scalar fields. The Peccei-Quinn (PQ) symmetry is accidental and all the mass scales are generated dynamically. Depending on the choices of representations and charges, the PQ symmetry can be robustly protected from higherdimensional operators up to dimension 12, providing a resolution of the axion quality problem. Our framework can be easily extended to a scenario where the Standard Model (SM) is unified in a simple gauge group, and we discuss the case of non-supersymmetric SU(5) unification. The GUT models predict the existence of additional pseudo NGBs, parametrically lighter than the GUT and PQ scales, which could have an impact on the cosmological evolution and leave observable signatures. We also clarify the selection-rules under which higher-dimensional PQ-violating operators can generate a potential for the axion in the IR, and provide a discussion of the discrete symmetries in composite axion models associated to the number of domain walls. These results can be of general interest for composite axion models based on a QCD-like confining gauge group.

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High-quality grand unified theories with three generations *

Chen

2022

Chinese Phys. C

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We extend the unitary groups beyond the ${\rm SU}(5)$ and ${\rm SU}(6)$ to look for possible grand unified theories that give rise to three-generational Standard Model fermions without the simple repetition. By demanding asymptotic free theories at short distances, we find gauge groups of ${\rm SU}(7)$, ${\rm SU}(8)$ and ${\rm SU}(9)$ together with their anomaly-free irreducible representations are such candidates. Two additional gauge groups of ${\rm SU}(10)$ and ${\rm SU}(11)$ can also achieve the generational structure without asymptotic freedom. We also find these models can solve the Peccei-Quinn (PQ) quality problem which is intrinsic in the axion models, with the leading PQ-breaking operators determined from the symmetry requirement. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

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Accidental SO(10) axion from gauged flavour

Cited by 4 publications

References 69 publications

Quantum guts of the minimal potentially realistic $\mathrm{SO}(10)$ Higgs model

Quantum guts of the minimal potentially realistic $\mathrm{SO}(10)$ Higgs model

Chiral models of composite axions and accidental Peccei-Quinn symmetry

High-quality grand unified theories with three generations *

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