Changes between Version 236 and Version 237 of ALRM

Timestamp:

Mar 14, 2025, 8:08:07 AM (3 weeks ago)

Author:

Mustafa Ashry

Comment:

--

ALRM

@@ -24 +24 @@
 As in the SM, left-handed fermions compose ''SU(2),,L,,'' doublets. Right-handed charged leptons form ''SU(2),,R,,'' doublets with corresponding extra particles (scotinos) and right-handed up-quarks form ''SU(2),,R,,'' doublets with corresponding extra down-type exotic quarks. Right-handed neutrinos and down-quarks are ''SU(2),,L,R,,'' singlets. The Higgs sector composes of an ''SU(2),,L,,''-doublet, an ''SU(2),,R,,''-doublet and a bidoublet.
 
-The electroweak left-right symmetry ''SU(2),,L,,×SU(2),,R,,×U(1),,B-L,,'' is spontaneously broken down to the SM electroweak symmetry ''SU(2),,L,,×U(1),,Y,,'', ''Y'' being the hypercharge, by the ''SU(2),,R,,''-doublet vev, then the SM electroweak symmetry is spontaneously broken down to the ''U(1),,em,,'' through the bidoublet and the ''SU(2),,L,,''-doublet vevs. Accordingly, all fermions and gauge bosons (except of course photon) become massive via Higgs mechanism. The physical gauge sector of the model contains the electroweak gauge bosons (photon, ''W'' and ''Z'' bosons, whose masses were fixed by the experimental SM values) in addition to two extra gauge bosons (''W' '' and ''Z' '') correspond to the ''SU(2),,R,,'' group, analogous to those of the ''SU(2),,L,,'' group. Also the Weinberg angle is fixed here as an input parameter by its experimental value.
+The electroweak left-right symmetry ''SU(2),,L,,×SU(2),,R,,×U(1),,B-L,,'' is spontaneously broken down to the SM electroweak symmetry ''SU(2),,L,,×U(1),,Y,,'', ''Y'' being the hypercharge, by the ''SU(2),,R,,''-doublet ''vev''. Then the SM electroweak symmetry is spontaneously broken down to the ''U(1),,em,,'' through the bidoublet and the ''SU(2),,L,,''-doublet ''vev''s. Accordingly, all fermions and gauge bosons (except of course photon) become massive via Higgs mechanism. The physical gauge sector of the model contains the electroweak gauge bosons (photon, ''W'' and ''Z'' bosons, whose masses were fixed by the experimental SM values) in addition to two extra gauge bosons (''W' '' and ''Z' '') correspond to the ''SU(2),,R,,'' group, analogous to those of the ''SU(2),,L,,'' group. Also the Weinberg angle is fixed here as an input parameter by its experimental value.
 
-Dirac (massive) neutrinos are considered with the mixing MNS matrix implemented in the normal hierarchy. The case of Majorana neutrinos is considered in many other models' files and any type of seesaw mechanisms can be brought to be implemented here easily. Three mixed generations of quarks are considered and hence the general case of the CKM matrix is implemented. In addition, the generic case of nonmanifest left-right symmetry is considered, that is the left and right gauge couplings gL,gR, quark mixing matrices CKML,CKMR and lepton mixing matrices MNSL,MNSR are NOT in general coincident. Moreover, CP-violating CKML and CKMR phases are added, such that the CKM matrices are most generally represented.
+Dirac (massive) neutrinos are considered with the mixing PMNS matrix implemented in the normal hierarchy. The case of Majorana neutrinos is considered in many other models' files and any type of seesaw mechanisms can be brought to be implemented here easily. Three mixed generations of quarks are considered and hence the general case of the CKM matrix is implemented. In addition, the generic case of nonmanifest left-right symmetry is considered, that is the left and right gauge couplings gL,gR, quark mixing matrices CKML,CKMR and lepton mixing matrices PMNSL,PMNSR are NOT in general coincident. Moreover, CP-violating CKML and CKMR phases are added, such that the CKM matrices are most generally represented to account for ''CP'' violations (CPV).
 
 The model contains ten physical Higgs bosons: four neutral ''CP''-even higgs bosons, one (the lightest) of which is considered to be the SM-like one with mass fixed to have the value ''mh''=125 GeV. Four charged Higgs bosons and two ''CP''-odd pseudoscalar Higgs bosons. The mass spectra are calculated and the rotation matrices are implemented analytically.
 
-Minimization conditions and spectrum relations are all used to express the whole model parameters and spectra in terms of only five independent (external) parameters: ''tanbeta, lambda,,2,,, lambda,,3,,, alpha,,1,,, alpha,,2,,'' and ''mu,,3,,,''. As in any two-Higgs doublet model, e.g., MSSM, ''tanbeta'' is the ratio between two vevs. The parameters ''lambda,,2,,, lambda,,3,,, alpha,,1,,, alpha,,2,,'' are dimensionless potential parameters, while ''mu,,3,,,'' is a dimension-full potential parameter.
+Minimization conditions and spectrum relations are all used to express the whole model parameters and spectra in terms of only five independent (external) parameters: ''tanbeta, lambda,,2,,, lambda,,3,,, alpha,,1,,, alpha,,2,,'' and ''mu,,3,,,''. As in any two-Higgs doublet model, e.g., MSSM, ''tanbeta'' is the ratio between two ''vev''s. The parameters ''lambda,,2,,, lambda,,3,,, alpha,,1,,, alpha,,2,,'' are dimensionless potential parameters, while ''mu,,3,,,'' is a dimension-full potential parameter.
 
 Full analysis of the Higgs sector is presented analytically as in Ref. [2] above. The rotation matrices in all cases of scalar, pseudo scalar and charged Higgs are presented in the most general way which is applicable to any other model and to all dimensions.