Does shadronization explain the failure to discover SUSY?

In the earlier posting I proposed an explanation of the weird X and Y mesons believed to consist of ccbar pairs in terms of bound states of either color excited c and cbar or corresponding squarks. It is necessary to assume that dark matter in TGD sense is in quesetion so that hbar does not have the standard value. The mathematical structure of these models is apart from minor details exactly the same and at least moment I cannot decide which of them I should prefer.

If dark squarks are in question, the prediction would be that quarks and squarks have the same p-adic mass scale, perhaps even identical masses! This sounds completely non-sensical but could make sense if one believes the arguments of the article Do X and Y mesons provide evidence for color excited quarks or squarks?.

The point is that the usual view about how SUSY manifests itself experimentally could be manifestly wrong. It could quite well be that a strong process which might be called shadronization takes place much faster the the decay of squarks and gluinos to quarks and gluinos and electroweak gauginos (selectro-weak process). Shadrons would in turn decay to ordinary hadrons by gluino exchange. One could also speak about R-parity confinement. No neutralinos (which in TGD framework would correspond to neutrinos) would be produced so that the missing energy and jets would not serve as a signature of SUSY. This would explain why no sign of SUSY was found at LHC nor in all the earlier experiments at low energies. X and Y mesons -actually smesons- would however provide a direct signature of SUSY discovered already 8 years ago!

This picture would lead to a completely new view about detection of squarks and gluinos.

1. In the standard scenario the basic processes are production of squark and gluino pair. The creation of squark-antisquark pair is followed by the decay of squark (anti-squark) to quark (antiquark) and neutralino or chargino. If R-parity is conserved, the decay chain eventually gives rise to at least two hadron jets and lightest neutralinos identifiable as missing energy. Gluinos in turn decay to quark and anti-squark (squark and antiquark) and squark (anti-squark) in turn to quark (anti-quark) and neutralino or chargino. At least four hadron jets and missing energy is produced. In TGD framework neutralinos would decay eventually to zinos or photinos and right-handed neutrino transforming to ordinary neutrino (R-parity is not conserved). This process might be however slow.

2. In the recent case quite different scenario relying on color confinement and "shadronization" suggests itself. By definition smesons consist of squarks and antisquark. Sbaryons could consist of two squarks containing right-handed neutrino and its antineutrino ( N=2 SUSY) and one quark and thus have same quantum numbers as baryon.

   Also now dark squark or gluino pair would be produced at the first step. These would shadronize. One can indeed argue that the required emisson of winos and zinos and photinos is too slow a process as compared to shadronization. Shadrons (mostly smesons) would in turn decay to hadrons by the exchange of gluinos between squarks. No neutralinos (missing energy) would be produced. This would explain the failure to detect squarks and gluinos at LHC.

   This mechanism does not however apply to sleptons so that it seems that the p-adic mass scale of sleptons must be much higher for sleptons than that for squarks as I have indeed proposed.

The identification of X and Y as smesons looks like a viable option and M₈₉ shadronization could explains the failure to find SUSY at LHC if shadronization is a fast process as compared to the selectro-weak decays. M₈₉ squarks need not however be dark since intermediate gauge boson decay widths pose not constraints. The option certainly deserves an experimental testing. One could learn a lot about SUSY in TGD sense (or maybe in some other sense!) by just carefully scanning the existing data at lower energies. For instance, one could try to answer the following questions by analyzing the already existing experimental data.

1. Are X and Y type mesons indeed in 1-1 correspondence with charmonium states? One could develop numerical models allowing to predict the precise masses of scharmonium states and their decay rates to various final states and test the predictions experimentally.

2. Do bbarb mesons have smesonic counterparts with the same mass scale? What about B_c type smesons containing two heavy squarks?

3. Do the mesons containing one heavy quark and one light quark have smesonic counterparts? My light-hearted guess that this is not the case is based on the assumption that the general mass scale of the mass squared matrix is defined by the p-adic mass scale of the heavy quark and the non-diagonal elements are proportional to the color coupling strength at p-adic length scale associated with the light quark and therefore very large: as a consequence the second mass eigenstate would be tachyonic.

4. What implications the strong mixing of light mesons and smesons would have for CP breaking? CP breaking amplitudes would be superpositions of diagrams representing CP breaking for mesons resp. smesons. Could the presence of smesonic contributions perhaps shed light on the poorly understood aspects of CP breaking?

For details and background see the article Do X and Y mesons provide evidence for color excited quarks or squarks? and the chapter The Recent Status of Leptohadron Hypothesis of "p-Adic Length Scale Hypothesis and Dark Matter Hierarchy".