New physics going beyond standard model

Sabine Hossenfelder told in YouTube talk “Large Hadron Collider Sees Extra Dimension, Physicists Claim” (see this) that there are indications for new particles not predicted by the standard model. Since TGD predicts a scale hierarchy of standard model physics, these findings are extremely interesting from the TGD point of view.

1. Observations

What has been observed are 4-jets in p-p collisions at few TeV energies at CMS. There are observations in two energy ranges.

1.1 T700 resonances

There are indications at LHC for BSM (Beyond Standard Model) particles with spin 0 or spin 2 appearing as resonances in 650-750 GeV range christened as T700.

Le Yaouanc and Richard have considered (see this) an explanation of these anomalies in terms of Kaluza-Klein (KK) graviton. The proposal relies on the Randall-Sundrum model with 1-D internal space. For the Randall-Sundrum option the internal space is a circle and by Uncertainty Principle the mass scale would determine the radius of the circle and would be very large as compared to the original view that the radius is of order Planck length. In TGD this scale corresponds to the length scale of string-like objects.

Spin 2 or spin 0 are possible for the states involved. For the spin 2 option, vector boson dominance as fusion of weak bosons producing a top pair decaying to ordinary quarks producing 4-jets is the natural production mechanism. For spin=0 option, gluon fusion producing heavy quark pairs, in particular top quark pairs, would be the production mechanism.

1.2 The anomalies around 3.6 TeV and 8.6 TeV

Also indications for additional have been found. Le Yaouanc and Richard (the same authors as above) propose as an explanation Kaluza-Klein gluons (see this) with masses m₁=3.6 TeV and m₂=8.6 TeV as an explanation. Standard physics does not favour 3.6 TeV gluons but the authors suggest that if these particles can decay also to other heavy quark pairs besides top pair, this is not a problem. KK quarks are proposed to have masses 1 TeV 2.1 TeV: the ratio is .58 to be compared with m_u/m_d= .55. The mass ratio of the KK gluon masses is m₁/m₂ is .42.

2. Possible TGD based explanations of the anomalies

TGD predicts a hierarchy of scaled variants of standard model physics so that these anomalies a very interesting from the TGD point of view. Mersenne primes coming as 3 varieties, ordinary, Gaussian and Eisensteinian (see this), are in a special role concerning p-adic mass scales.

Both M₈₉ hand physics, for which mass scales of hadrons are scaled up by factor 2⁹=512 and M_G,79 hadron physics for which the mass scales of hadrons are 2^{14 times those of the ordinary hadron physics are interesting.}

M_G,79 is special in the sense that k=79 corresponds also to Eisensteinian Mersenne prime M_E,79: the corresponding mass scale is near to that for the electron (see this). This is due to the fact that for Eisensteinian Mersenne primes p-adic mass scales come as powers of 3 (3^1/2) rather than octaves (half-octaves).

Note that for M_G,73resp. M₆₁ the hadron mass scales are by factor 2¹⁷resp. 2²³ higher than for ordinary hadron physics.

2.1 T700 anomaly

Consider first the T700 anomaly for which interpretation as KK graviton is proposed (see this and this). The production mechanism would be vector boson fusion (VBF).

In TGD, the natural candidate for the BSF particle would be as a meson of M₈₉ hadron physics. TGD suggest that the top quark actually corresponds to the u or d quark of M₈₉ hadron physics and that real top to the Aleph anomaly (see this and this). This predicts an entire spectrum of mesons and the scaling argument allows us to estimate their masses. One expects that the top pair gives rise to a pion-like state.

The masses of M₈₉ would be obtained from the masses of ordinary mesons scaled by a factor 512. The meson a₂(1320) is the lightest meason with spin J=2 and would be scale up to a state with mass of 675.8 GeV, which could explain T700.

2.2 The states with masses 3.6 TeV and 8.6 TeV

Consider next the states with masses 3.6 TeV and 8.6 TeV, suggested to correspond to KK gluons (see this). The large mass scales make M_G,79 hadron physics look like a natural option. The scaling of the mass of the top quark identified as a quark of M₈₉ hadron physics would predict a mass of 5.6 GeV for a M_G,79 u quark.

Also electroweak physics should appear as a scaled variant. The scaling of the ordinary Higgs mass .125 TeV having k=89 by 2^{Δ k}, Δk=(89-79)/2=5 would give m(H₇₉)= 4 TeV, not very far from the lower mass 3.6 TeV.

The scaling of M₈₉ pion mass, if identified as m(π(89))= 2m_t=.350 TeV (assuming additivity of quark masses), would give m(π(79))= 11.3 TeV, which is too large. If mass squared as conformal weight is additive instead of mass for bound states, as assumed in the model for the weak bosons as superpositions of quark pairs (see this), this estimate is scaled down by 2^-1/2 and would give m(π(79))=7.9 TeV, not far from 8.6 TeV.

By the same logic, M₈₉ pion would have mass m(π(89))= 2^1/2m_t= .248 TeV. There is no evidence for this kind of state.

See the articles About the relationship of electroweak and strong interactions in the TGD Universe: part III and Official top quark and toponium as particles of M₈₉ hadron physics? or the chapters Comparing the S-matrix descriptions of fundamental interactions provided by standard model and TGD and About the relationship of electroweak and strong interactions in the TGD Universe: part III.

For a summary of earlier postings see Latest progress in TGD.

For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.

Source: https://matpitka.blogspot.com/2026/10/new-physics-going-beyond-standard-model.html