F(750), We Miss You as a Bound State of 6 Top and 6 Antitop Quarks, Multiple Point Principle

Abstract

We review our speculation, that in the pure Standard Model the exchange of Higgses, including also the ones "eaten by W ± and Z", and of gluons together make a bound state of 6 top plus 6 anti top quarks bind so strongly that its mass gets down to about 1/3 of the mass of the collective mass 12 m t of the 12 constituent quarks. The true importance of this speculated bound state is that it makes it possible to uphold, even inside the Standard Mode, our proposal for what is really a new law of nature saying that there are several phases of empty space, vacua, all having very small energy densities (of the order of the present energy density in the universe). The reason suggested for believing in this new law called the "Multiple (Criticality) Point Principle" is, that estimating the mass of the speculated bound state using the "Multiple Point Principle" leads to two consistent mass-values; and they even agree with a crude bag-model like estimate of the mass of this bound state. Very unfortunately the statistical fluctuation so popular last year when interpreted as the digamma resonance F(750) turned out not to be a real resonance, because our estimated bound state mass is just around the mass of 750 GeV.

High scale boundary conditions in models with two Higgs doublets

“…One such scenario is the MPP [55] which posits that the effective potential has an additional minimum at the Planck scale, degenerate to the electroweak minimum. Applying the MPP in the SM leads to a prediction of the Higgs mass of m h ¼ 129 AE 1.5 GeV [17], which is not compatible with our current experimental value of m h but is close enough to have inspired a number of investigations into the MPP in extensions of the SM [56][57][58][59] and the 2HDM [60][61][62]. The simplest scenario implementation of the MPP would be to have a global minimum at a high scale Λ, degenerate with the electroweak minimum, where all of the quartic couplings are zero at Λ, e.g., λ i ¼ 0; i ¼ 1; …; 5.…”

The Multiple Point Principle and Extended Higgs Sectors

“…An more exotic suggestion comes from the original authors of the MPP: the existence of a bound state made of six top-quarks and six anti-top-quarks [82,83,84,85,86,87]. They postulate a new phase different from and degenerate with the standard electroweak Higgs phase, caused by the condensation of this new top-anti-top bound state.…”

High scale boundary conditions with an additional complex singlet

“…Although this is not compatible with our by now very accurate Higgs mass measurement, it is still rather remarkable. Subsequent investigations into this principle extend the SM with new fields to alter the running of λ in the hope of satisfying the MPP conditions with a viable Higgs mass, for example [23][24][25][26][27][28].…”