On the Field Below SM, Analysis and Predictions

Abstract

We previously showed that the elementary particles mass spectrum is not random at all and probably originates in resonances of a single field below the known forces and fields. Here we first improve our demonstration leading to a single field; we show how resonances are compatible with the standard model symmetries and give coherent mass equation parameters. On this basis, we build a toy model of the field below which is consistent with those parameters and with the resonance numbers of quarks and massive bosons. It enables computing the W ± , Z 0 , and H 0 boson pole masses with high precision and the widths also come naturally. The resulting W ± mass is in close agreement with experimental data but it disagrees with the SM prediction. An important consequence is that nothing new should appear in the next LHC run because geometrical constraints show that there is probably nothing else to find. Finally, the fundamental resonance agrees with the Dirac condition; it explains the other coefficients of the theory (α and α S ) and shows the nature of the field.

How and Why the Universe Is Natural

“…The next reasoning is long (for details, refer to Consiglio, 2014b), and it shows that D b is an interaction term on which k depends thru the following geometrical equation that connects the resonant "slots" in two hyper-spheres:…”

“…Note that only the last term is different by a factor 6 between those expressions. Note also that the bosons widths are computed (Consiglio, 2014b(Consiglio, , 2015 from the resonance geometry using the same difference.…”

“…Some important properties of this model are coherent (Consiglio, 2014b), in particular for quarks and leptons decays, its impact on the equations (5), and to compute the bosons widths; the leptons model was used (Consiglio, 2015) to compute their magnetic moment anomaly. So even as a simplified view it should be taken seriously.…”

“…The Table 10 shows the dependence of the SM (free) parameters on the results in this paper or the references. Note that the absence of 4 th generation (Consiglio, 2014b) is general and comes from opposite limits of the equation (1) when applied to leptons (K D < 1/NP) and quarks (m q > 0, or R q > 0).…”

“…In a non-conventional way, starting with de Broglie's thesis and numerical data, we showed (Consiglio, 2014a(Consiglio, , 2014b) that the elementary particles mass spectrum depends on a handful of integral numbers. In this paper, we first review the logic, including the mass equation and the numerical results.…”