Automorphisms in Gauge Theories and the Definition of CP and P

Abstract

We study the possibilities to define CP and parity in general gauge theories by utilizing the intimate connection of these discrete symmetries with the group of automorphisms of the gauge Lie algebra. Special emphasis is put on the scalar gauge interactions and the CP invariance of the Yukawa couplings.

77 pages (when compiled with 4TEX), one figure included, all in Latex. It is necessary to compile the paper three times so that the Table of Contents will be generated with the correct page numbers

Cited by in corpus (100)

• Theory and phenomenology of two-Higgs-doublet models
• Flavour physics of leptons and dipole moments
• Unified Models of Neutrinos, Flavour and CP Violation
• A non-standard CP transformation leading to maximal atmospheric neutrino mixing
• Leptonic CP violation
• CP and Discrete Flavour Symmetries
• Building and testing models with extended Higgs sectors
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• A String Theory of Flavor and CP
• $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry
• Generalised CP and $A_4$ Family Symmetry
• CP violation conditions in N-Higgs-doublet potentials
• CP Violation in the General Two-Higgs-Doublet Model: a Geometric View
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Pieces of the Flavour Puzzle
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• Lepton mixing from the interplay of the alternating group A5 and CP
• Generalised CP and Trimaximal TM${}_1$ Lepton Mixing in $S_4$ Family Symmetry
• Generalised CP and $\Delta (6n^2)$ Family Symmetry in Semi-Direct Models of Leptons
• Lepton Mixing Predictions including Majorana Phases from $\Delta (6n^2)$ Flavour Symmetry and Generalised CP
• Generalized CP symmetries in Delta(27) flavor models
• Lepton Mixing Parameters from $\Delta (48)$ Family Symmetry and Generalised CP
• Maximal atmospheric neutrino mixing and the small ratio of muon to tau mass
• Generalised CP and $\Delta (96)$ Family Symmetry
• Predicting Lepton Flavor Mixing from $\Delta (48)$ and Generalized CP Symmetries
• Vector-like Singlet Quarks: a Roadmap
• Trimaximal $\mu$-$\tau$ reflection symmetry
• CP Symmetry and Symplectic Modular Invariance
• Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications
• Leptogenesis and residual CP symmetry
• Flavor and CP symmetries for leptogenesis and 0nubb decay
• Lepton Flavor Mixing and CP Symmetry
• CP Violation in the Lepton Sector and Implications for Leptogenesis
• Physical parameters and basis transformations in the Two-Higgs-Doublet model
• Deviation from Bimaximal Mixing and Leptonic CP Phases in $S_4$ Family Symmetry and Generalized CP
• A renormalizable SO(10) GUT scenario with spontaneous CP violation
• Neutrino Mixing from CP Symmetry
• Leptonic CP Violation and Neutrino Mass Models
• $A_4$ and CP symmetry and a model with maximal CP violation
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Classifying CP transformations according to their texture zeros: theory and implications
• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
• Generalized CP and $\Delta (3n^2)$ Family Symmetry for Semi-Direct Predictions of the PMNS Matrix
• Invariant approach to CP in family symmetry models
• CP4 miracle: shaping Yukawa sector with CP symmetry of order four
• Invariant approach to CP in unbroken $\Delta (27)$
• Quark and Lepton Mixing Patterns from a Common Discrete Flavor Symmetry with Generalized CP
• The symmetry approach to quark and lepton masses and mixing
• Lepton Mixing Predictions from Infinite Group Series $D_{9n,3n}^{(1)}$ with Generalized CP
• Recognizing symmetries in 3HDM in basis-independent way
• Combining texture zeros with a remnant CP symmetry in the minimal type-I seesaw
• Modulus $\tau$ linking leptonic CP violation to baryon asymmetry in $A_4$ modular invariant flavor model
• Symmetries of symmetries and geometrical CP violation
• Gauge Invariance and Finite Counterterms in Chiral Gauge Theories
• CP-odd invariants for multi-Higgs models: applications with discrete symmetry
• Neutrino Mass and Mixing Models with Eclectic Flavor Symmetry $\Delta (27)⋊T^{\prime }$
• Toward a unified interpretation of quark and lepton mixing from flavor and CP symmetries
• Status of Neutrino Mass and Mixing
• Lepton Mixing Predictions from $S_4$ in the Tri-Direct CP approach to Two Right-handed Neutrino Models
• Approaching Minimal Flavour Violation from an SU(5) x S4 x U(1) SUSY GUT
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• On the Vafa-Witten Theorem on Spontaneous Breaking of Parity
• Consequences of minimal seesaw with complex $\mu \tau$ antisymmetry of neutrinos
• Golden Littlest Seesaw
• Multi-Higgs models with CP symmetries of increasingly high order
• Electron EDM arising from modulus $\tau$ in the supersymmetric modular invariant flavor models
• Beyond basis invariants
• Extended scaling and residual flavor symmetry in the neutrino Majorana mass matrix
• 23, 381, 6242, 103268, 1743183, ...: Hilbert series for CP-violating operators in SMEFT
• Lepton and Quark Mixing from Stepwise Breaking of Flavor and CP
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• Minimal spontaneous CP-violating GUT and predictions for leptonic CP phases
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• Flavour and CP symmetries in the inverse seesaw
• Neutrino masses and lepton mixing from $A_5\times \mathrm{CP}$
• Generalized ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ in Scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis
• Importance of generalized $\mu \tau$ symmetry and its CP extension on neutrino mixing and leptogenesis
• Low-scale leptogenesis with flavour and CP symmetries
• CP and other Symmetries of Symmetries
• Lepton Flavor Violation and Neutrino Masses from $A_5$ and CP in the Non-Universal MSSM
• Phenomenological implications of the Friedberg-Lee transformation in a neutrino mass model with $\mu \tau$-flavored CP symmetry
• Symmetries for the 4HDM: extensions of cyclic groups
• $\mathcal{C}\mathcal{P}$ violation with an unbroken $\mathcal{C}\mathcal{P}$ transformation
• Revisiting on-shell renormalization conditions in theories with flavour mixing
• Goofy transformations and the hierarchy problem
• Simultaneous Block Diagonalization of Matrices of Finite Order
• CP as a Symmetry of Symmetries
• Lepton Mixing Predictions from (Generalised) CP and Discrete Flavour Symmetry
• Lepton and Quark Masses and Mixing in a SUSY Model with Delta(384) and CP
• Dihedral flavor group as the key to understand quark and lepton flavor mixing
• Telling compositeness at a distance with outer automorphisms and CP
• CP-symmetry of order 4 and its consequences
• Limiting FCNC induced by a CP symmetry of order 4
• CP violation in gauge theories
• Flavour anomalies meet flavour symmetry
• CP-like Symmetry with Discrete and Continuous Groups and CP Violation/Restoration
• Discriminating between $CP$ and family transformations in the bilinear space of NHDM
• Tridiagonal scalar mass matrix in the CP4 3HDM and its implications
• Status and Perspectives of Neutrino Physics
• Constraining the CP4-invariant three-Higgs-doublet model via top quark decays