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• W1605522025 abstract "We show that some models with $SU(3{)}_{C}ensuremath{bigotimes}SU(3{)}_{L}ensuremath{bigotimes}U(1{)}_{X}$ gauge symmetry can be realized at the electroweak scale and that this is a consequence of an approximate global $SU(2{)}_{L+R}$ symmetry. This symmetry implies a condition among the vacuum expectation value of one of the neutral Higgs scalars, the $U(1{)}_{X}$'s coupling constant, ${g}_{X}$, the sine of the weak mixing angle $mathrm{sin}{ensuremath{theta}}_{W}$, and the mass of the $W$ boson, ${M}_{W}$. In the limit in which this symmetry is valid it avoids the tree level mixing of the $Z$ boson of the standard model with the extra ${Z}^{ensuremath{'}}$ boson. We have verified that the oblique $T$ parameter is within the allowed range indicating that the radiative corrections that induce such a mixing at the 1-loop level are small. We also show that a $SU(3{)}_{L+R}$ custodial symmetry implies that in some of the models we have to include sterile (singlets of the 3-3-1 symmetry) right-handed neutrinos with Majorana masses, since the seesaw mechanism is mandatory to obtain light active neutrinos. Moreover, the approximate $SU(2{)}_{L+R}ensuremath{subset}SU(3{)}_{L+R}$ symmetry implies that the extra nonstandard particles of these 3-3-1 models can be considerably lighter than it had been thought before so that new physics can be really just around the corner." @default.
• W1605522025 created "2016-06-24" @default.
• W1605522025 creator A5061214454 @default.
• W1605522025 creator A5069844690 @default.
• W1605522025 creator A5071402399 @default.
• W1605522025 date "2006-06-15" @default.
• W1605522025 modified "2023-09-30" @default.
• W1605522025 title "Closing the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mn>3</mml:mn><mml:msub><mml:mo stretchy=false>)</mml:mo><mml:mi>L</mml:mi></mml:msub><mml:mo>⊗</mml:mo><mml:mi>U</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mn>1</mml:mn><mml:msub><mml:mo stretchy=false>)</mml:mo><mml:mi>X</mml:mi></mml:msub></mml:math>symmetry at the electroweak scale" @default.
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• W1605522025 doi "https://doi.org/10.1103/physrevd.73.113004" @default.
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