Can the spin-charge-family theory explain baryon number non conservation?

Abstract

The spin-charge-family theory, in which spinors carry besides the Dirac spin also the second kind of the Clifford object, no charges, is a kind of the Kaluza-Klein theories. The Dirac spinors of one Weyl representation in $d=(13+1)$ manifest in $d=(3+1)$ at low energies all the properties of quarks and leptons assumed by the standard model. The second kind of spins explains the origin of families. Spinors interact with the vielbeins and the two kinds of the spin connection fields, the gauge fields of the two kinds of the Clifford objects, which manifest in $d=(3+1)$ besides the gravity and the known gauge vector fields also several scalar gauge fields. Scalars with the space index $s\in (7,8)$ carry the weak charge and the hyper charge ($\mp \frac{1}{2},\pm \frac{1}{2}$, respectively), explaining the origin of the Higgs and the Yukawa couplings. It is demonstrated in this paper that the scalar fields with the space index $t\in (9,10,\dots ,14)$ carry the triplet colour charges, causing transitions of antileptons and antiquarks into quarks and back, enabling the appearance and the decay of baryons. These scalar fields are offering in the presence of the right handed neutrino condensate, which breaks the $\mathcal{C}\mathcal{P}$ symmetry, the answer to the question about the matter-antimatter asymmetry.

48 pages, in press in Phys. Rev. D, modified version of the talk in the Proceedings to the $17^{t}h$ Workshop "What comes beyond the standard models", Bled, 20-28 of July, 2014

References in corpus (2)

• On the origin of families of quarks and leptons - predictions for four families
• New experimental data for the quarks mixing matrix are in better agreement with the spin-charge-family theory predictions

Cited by in corpus (4)

• How does Clifford algebra show the way to the second quantized fermions with unified spins, charges and families, and with vector and scalar gauge fields beyond the {\it standard model}
• Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector by Additional Decay Channels
• Are superheavy stable quark clusters viable candidates for the dark matter?
• The symmetry of $4\times 4$ mass matrices predicted by the spin-charge-family theory --- $SU(2)\times SU(2)\times U(1)$ --- remains in all loop corrections