C P $$ \mathcal{C}\mathcal{P} $$ violation with an unbroken C P $$ \mathcal{C}\mathcal{P} $$ transformation

Ratz, Michael; Trautner, Andreas

doi:10.1007/jhep02(2017)103

Cited by 6 publications

(2 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This leaves us with the remarkable picture that flavor symmetries can very well be the reason why CP is violated, which also fits nicely with the observation that all of the CP violations found so far in Nature reside in the flavor sector. One may thus hope to obtain new solutions to the strong CP problem [97]. However, so far, a concrete realization of this idea has been hindered by the limitations discussed in Section 4.1.2.…”

Section: Cp Violation From Finite Groupsmentioning

confidence: 99%

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation

Almumin,

Chen,

Cheng

et al. 2023

Universe

Self Cite

View full text Add to dashboard Cite

The neutrino sector offers one of the most sensitive probes of new physics beyond the Standard Model of Particle Physics (SM). The mechanism of neutrino mass generation is still unknown. The observed suppression of neutrino masses hints at a large scale, conceivably of the order of the scale of a rand unified theory (GUT), which is a unique feature of neutrinos that is not shared by the charged fermions. The origin of neutrino masses and mixing is part of the outstanding puzzle of fermion masses and mixings, which is not explained ab initio in the SM. Flavor model building for both quark and lepton sectors is important in order to gain a better understanding of the origin of the structure of mass hierarchy and flavor mixing, which constitute the dominant fraction of the SM parameters. Recent activities in neutrino flavor model building based on non-Abelian discrete flavor symmetries and modular flavor symmetries have been shown to be a promising direction to explore. The emerging models provide a framework that has a significantly reduced number of undetermined parameters in the flavor sector. In addition, such a framework affords a novel origin of CP violation from group theory due to the intimate connection between physical CP transformation and group theoretical properties of non-Abelian discrete groups. Model building based on non-Abelian discrete flavor symmetries and their modular variants enables the particle physics community to interpret the current and anticipated upcoming data from neutrino experiments. Non-Abelian discrete flavor symmetries and their modular variants can result from compactification of a higher-dimensional theory. Pursuit of flavor model building based on such frameworks thus also provides the connection to possible UV completions: in particular, to string theory. We emphasize the importance of constructing models in which the uncertainties of theoretical predictions are smaller than, or at most compatible with, the error bars of measurements in neutrino experiments. While there exist proof-of-principle versions of bottom-up models in which the theoretical uncertainties are under control, it is remarkable that the key ingredients of such constructions were discovered first in top-down model building. We outline how a successful unification of bottom-up and top-down ideas and techniques may guide us towards a new era of precision flavor model building in which future experimental results can give us crucial insights into the UV completion of the SM.

show abstract

Section: Cp Violation From Finite Groupsmentioning

confidence: 99%

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation

Almumin,

Chen,

Cheng

et al. 2023

Universe

Self Cite

View full text Add to dashboard Cite

show abstract

“…Our algorithm, here can be used to derive the action of a general CP transformation on the physical spectrum, which is obtained after diagonalizing the action of the linearly realized symmetry group. Finally, the above examples also appear in combination: breaking a continuous group to a finite subgroup while tracking the effect of the physical CP transformation on the physical spectrum requires knowledge of the transfer matrix that diagonalizes the action of the linearly realized group [25].…”

Section: Introductionmentioning

confidence: 99%

Simultaneous block diagonalization of matrices of finite order

Bischer

Döring

Trautner

2021

J. Phys. A: Math. Theor.

Self Cite

View full text Add to dashboard Cite

It is well known that a set of non-defect matrices can be simultaneously diagonalized if and only if the matrices commute. In the case of non-commuting matrices, the best that can be achieved is simultaneous block diagonalization. Here we give an efficient algorithm to explicitly compute a transfer matrix which realizes the simultaneous block diagonalization of unitary matrices whose decomposition in irreducible blocks (common invariant subspaces) is known from elsewhere. Our main motivation lies in particle physics, where the resulting transfer matrix must be known explicitly in order to unequivocally determine the action of outer automorphisms such as parity, charge conjugation, or time reversal on the particle spectrum.

show abstract

Vacuum stability and perturbativity of SU(3) scalars

Heikinheimo

Kannike

Lyonnet

et al. 2017

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We calculate the vacuum stability conditions and renormalisation group equations for the extensions of standard model with a higher colour multiplet scalar up to the representation 15 that leaves the strong interaction asymptotically free. In order to find the vacuum stability conditions, we calculate the orbit spaces for the self-couplings of the higher multiplets, which for the representations 15 and 15 of SU(3) c are highly complicated. However, if the scalar potential is linear in orbit space variables, it is sufficient to know the convex hull of the orbit space. Knowledge of the orbit spaces also facilitates the minimisation of the potentials. In contrast to the self-couplings of other multiplets, we find that the scalar quartic couplings of the representations 3 and 8 walk rather than run, remaining nearly constant and perturbative over a vast energy range. We describe the conditions for walking couplings using a schematic model. With these technical results at hand we revise earlier results of generation of new scales with large SU(3) c scalar multiplets. Our results are easily extendable to models of new physics with additional SU(3) or SU(N ) gauge symmetries.

show abstract

C P $$ \mathcal{C}\mathcal{P} $$ violation with an unbroken C P $$ \mathcal{C}\mathcal{P} $$ transformation

Cited by 6 publications

References 36 publications

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation

Simultaneous block diagonalization of matrices of finite order

Vacuum stability and perturbativity of SU(3) scalars

Contact Info

Product

Resources

About