arXiv subjects
Publications and source records attributed to C. D. Froggatt.
Proceedings for our meeting ``What comes beyond the Standard Models'', which covered a broad series of subjects.
We seek to explain both the seeming observation of dark matter by the seasonal variation of the DAMA-LIBRA data and the observation of "electron recoil" events at Xenon1T in which the liquid Xe scintillator was excited by electrons - in excess to the expected background - by the same dark matter model. In our model the dark matter consists of bubbles of a new type of vacuum containing ordinary atomic matter, say diamond, under high pressure ensured by the surface tension of the separation domain wall. We also seek to explain the self interactions of dark matter suggested by astronomical studies of dwarf galaxies and the central structure of galaxy clusters. The interaction with matter in the shielding is responsible for slowing the dark matter down to a low terminal velocity, so underground detectors have insufficient energy for detection. Further we explain the "mysterious" X-ray line of 3.5 keV, even the 3.5 keV X-ray radiation from the Tycho supernova remnant. The DAMA-LIBRA and Xenon1T experiments see decaying dark matter pearls. Both these underground experiments see events with about 3.5 keV energy, just the energy of the X-ray line. We fit numerically the cross section over mass ratio for the self interaction of the dark matter as observed in the study of dwarf galaxies and find the size of the pearls to be rather close to the smallest possible in our model. However DAMA cause some problem to get heavier pearls. Also the total energy of the dark matter pearls stopped in the shield is reasonably matching. Accepting the different phases of the vacuum the model could be realized inside the Standard Model, our whole scheme could be realized inside the Standard Model.
We explain both the observation of dark matter by the seasonal variation of the DAMA-LIBRA data and the observation of ``electron recoil'' events at Xenon1T by the SAME dark matter model. This DM is bubbles of a new type of vacuum containing ordinary atomic matter under high pressure ensured by the surface tension of the domain wall. Surrounding it a cloud of electrons almost of atomic size. Also we explain the self interactions of dark matter suggested by astronomical studies of dwarf galaxies etc. Interaction in the shielding slows the dark matter down to a low terminal velocity. Nuclei in the underground detectors are thus not detected. Further we explain the ``mysterious'' X-ray line of 3.5 keV from our dark matter particles colliding with each other so that the surfaces/skins unite. Even the 3.5 keV X-ray radiation from the Tycho supernova remnant is explained as our pearls hitting cosmic rays in the remnant. DAMA-LIBRA and Xenon1T experiments see supposedly our dark matter pearls excited during their stopping in the shielding or the air. The most remarkable support for our type of model is that both these underground experiments see events with about 3.5 keV energy, just the energy of the X-ray line. We get a good numerical understanding of the fitted cross section over mass ratio of self interacting dark matter observed in the study of dwarf galaxies. Also the total energy of the dark matter pearls stopped in the shield is reasonably matching order of magnitudewise with the absolute observation rates of DAMA-LIBRA and Xenon1T, although the their ratio requires further development. Accepting that the different phases of the vacuum could be realized inside the Standard Model, our whole scheme also could. No new physics is needed for dark matter!
In N=1 supergravity the scalar potential may have supersymmetric (SUSY) and non-supersymmetric Minkowski vacua (associated with supersymmetric and physical phases) with vanishing energy density. In the supersymmetric Minkowski (second) phase some breakdown of SUSY may be induced by non-perturbative effects in the observable sector that give rise to a tiny positive vacuum energy density. Postulating the exact degeneracy of the physical and second vacua as well as assuming that at high energies the couplings in both phases are almost identical, one can estimate the dark energy density in these vacua. It is mostly determined by the SUSY breaking scale M_S in the physical phase. Exploring the two-loop renormalization group (RG) flow of couplings in these vacua we find that the measured value of the cosmological constant can be reproduced if M_S varies from 20 TeV to 400 TeV. We also argue that this prediction for the SUSY breaking scale is consistent with the upper bound on M_S in the higgsino dark matter scenario.
We present a new cosmological model of the Universe based on the two discoveries: 1. cosmological constant is very small, and 2. Nature shows a new law in physics called "Multiple Point Principle" (MPP). The MPP predicts the two degenerate vacua of the Universe with VEV $v_1\approx 246$ Gev and $v_2\sim 10^{18}$ GeV, which provide masses of the Higgs boson and top-quark. A new cosmological model assumes the formation of two universal bubbles. The Universe at first stage of its existing is a bubble with a de-Sitter spacetime inside, having black-holes-hedgehogs as topological defects of the vacuum. Such a bubble has a "false vacuum" with VEV $v_2$, which decays very quickly. Cooling Universe has a new phase transition, transforming the "false" vacuum to the "true" (Electroweak) vacuum. Hedgehogs confined, and the universal bubble is transformed into the bubble having spacetime with FLRW-metric and the vacuum with new topological defects of $U(1)_{(el-mag)}$ group: magnetic vortices and Sidharth's pointlike defects. The problem of stability/metastability of the EW-vacuum is investigated. Noncommutativity of the vacua spacetime manifold is discussed. The prediction of a new physics is given by the future observations at LHC of the triplet $SU(2)$ Higgs bosons (at energies $E\sim 10$ TeV), and/or of the new bound states $6t + 6\bar t$ formed by top-antitop quarks (at $E\sim 1$ TeV). The problem "What comes beyond the Standard Model" is discussed at the end of this paper.
We review our speculation, that in the pure Standard Model the exchange of Higgses, including also the ones "eaten by $W^{\pm}$ 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.
In N=1 supergravity the tree-level scalar potential of the hidden sector may have a minimum with broken local supersymmetry (SUSY) as well as a supersymmetric Minkowski vacuum. These vacua can be degenerate, allowing for a consistent implementation of the multiple point principle. The first minimum where SUSY is broken can be identified with the physical phase in which we live. In the second supersymmetric phase, in flat Minkowski space, SUSY may be broken dynamically either in the observable or in the hidden sectors inducing a tiny vacuum energy density. We argue that the exact degeneracy of these phases may shed light on the smallness of the cosmological constant. Other possible phenomenological implications are also discussed. In particular, we point out that the presence of such degenerate vacua may lead to small values of the quartic Higgs coupling and its beta function at the Planck scale in the physical phase.
In the present paper we argue that the correction to the Higgs mass coming from the bound state of 6 top and 6 anti-top quarks, predicted early by C.D. Froggatt, H.B. Nielsen and L.V. Laperashvili, leads to the Standard Model (SM) vacuum stability and confirms the accuracy of the multiple point principle (principle of degenerate vacua) for all experimentally valued SM parameters (Higgs mass, top-quark mass, etc.). The aim to get the vacua degeneracy requires a mass of the bound state in the region of 770 GeV.
It is suggested that the Tunguska event in June 1908 cm-large was due to a cm-large ball of a condensate of bound states of 6 top and 6 anti-top quarks containing highly compressed ordinary matter. Such balls are supposed to make up the dark matter as we earlier proposed. The expected rate of impact of this kind of dark matter ball with the earth seems to crudely match a time scale of 200 years between the impacts. The main explosion of the Tunguska event is explained in our picture as material coming out from deep within the earth, where it has been heated and compressed by the ball penetrating to a depth of several thousand km. Thus the effect has some similarity with volcanic activity as suggested by Kundt. We discuss the possible identification of kimberlite pipes with earlier Tunguska-like events. A discussion of how the dark matter balls may have formed in the early universe is also given.
We consider the constraints, provided by the LHC results on Higgs boson decay into 2 photons and its production via gluon fusion, on the previously proposed Standard Model (SM) strongly bound state $S$ of 6 top quarks and 6 anti-top quarks. A correlation is predicted between the ratios $κ_γ$ and $κ_g$ of the Higgs diphoton decay and gluon production amplitudes respectively to their SM values. We estimate the contribution to these amplitudes from one loop diagrams involving the 12 quark bound state $S$ and related excited states using an atomic physics based model. We find two regions of parameter space consistent with the ATLAS and CMS data on ($κ_γ$, $κ_g$) at the 3 sigma level: a region close to the SM values ($κ_γ=1$, $κ_g =1$) with the mass of the bound state $m_S > 400$ GeV and a region with ($κ_γ \sim 3/2$, $κ_g \sim -3/4$) corresponding to a bound state mass of $m_S \sim 220$ GeV.
In N=1 supergravity the scalar potential of the hidden sector may have degenerate supersymmetric (SUSY) and non-supersymmetric Minkowski vacua. In this case local SUSY in the second supersymmetric Minkowski phase can be broken dynamically. Assuming that such a second phase and the phase associated with the physical vacuum are exactly degenerate, we estimate the value of the cosmological constant. We argue that the observed value of the dark energy density can be reproduced if in the second vacuum local SUSY breaking is induced by gaugino condensation at a scale which is just slightly lower than Λ_{QCD} in the physical vacuum. The presence of a third degenerate vacuum, in which local SUSY and electroweak (EW) symmetry are broken near the Planck scale, may lead to small values of the quartic Higgs self--coupling and the corresponding beta function at the Planck scale in the phase in which we live.
The empirical mass of the Higgs boson suggests small to vanishing values of the quartic Higgs self--coupling and the corresponding beta function at the Planck scale, leading to degenerate vacua. This leads us to suggest that the measured value of the cosmological constant can originate from supergravity (SUGRA) models with degenerate vacua. This scenario is realised if there are at least three exactly degenerate vacua. In the first vacuum, associated with the physical one, local supersymmetry (SUSY) is broken near the Planck scale while the breakdown of the SU(2)_W\times U(1)_Y symmetry takes place at the electroweak (EW) scale. In the second vacuum local SUSY breaking is induced by gaugino condensation at a scale which is just slightly lower than Λ_{QCD} in the physical vacuum. Finally, in the third vacuum local SUSY and EW symmetry are broken near the Planck scale.
We construct a model unifying gravity with weak $SU(2)$ gauge and "Higgs" scalar fields. We assume the existence of a visible and an invisible (hidden) sector of the Universe. We used the extension of Plebanski's 4-dimensional gravitational theory, in which the fundamental fields are two-forms containing tetrads, spin connections and additional auxiliary fields. Considering a $Spin(4,4)$ invariant extended Plebanski action, we recover the actions in both (visible and invisible) sectors of the Universe. After symmetry breaking of the graviweak (GW) unification, its physical constants (Newton's constants, cosmological constants, YM-couplings, etc.), are determined by a parameter $g_{uni}$ of the GW unification. It is discussed that if this "Higgs" field coming in the GW unification could be the Higgs of the Standard Model, then the idea that its vacuum value could be, according to the Multiple Point Principle, a second minimum of the Higgs field effective potential, turns out not to be viable. Then other scalar "Higgs" field, giving the inflation and axion fields, has a Planck scale expectation value, and could have a better chance of being the scalar field unified with gravity.
It was shown: 1) that the mass of the Higgs boson discovered by LHC corresponds to the stability conditions of the SM vacua and to the Multiple Point Principle, according to which all vacua of the SM are degenerate, or almost degenerate; 2) that early predicted by authors new bound states (NBS) of the 6 top and 6 anti-top quarks ("T-fireballs"), which are formed by their intermediate interactions with the Higgs bosons, manifest themselves in the production of multijets in pp-collisions at LHC. The CMS experiment of LHC with the production of 10 jets can be explained by the production of pairs of these NBS along with the production of pairs of the top-anti-top quarks. 3) Also it was shown that the next indication of the possible existence of the NBS can be the decay $H\to γγ$, which was observed by CMS-collaboration of LHC. We have considered the contributions of the one-loop diagrams to the width $Γ_{H\to γγ}$, taking into account the contributions of the T-fireballs along the contributions of the known SM-particles.
The present paper is based on the assumption that heavy quarks bound states exist in the Standard Model (SM). Considering New Bound States (NBS) of top-anti-top quarks (named T-balls) we have shown that: 1) there exists the scalar 1S--bound state of $6t+6\bar t$; 2) the forces which bind the top-quarks are very strong and almost completely compensate the mass of the twelve top-anti-top-quarks in the scalar NBS; 3) such strong forces are produced by the Higgs-top-quarks interaction with a large value of the top-quark Yukawa coupling constant $g_t\simeq 1$. Theory also predicts the existence of the NBS $6t + 5\bar t$, which is a color triplet and a fermion similar to the $t'$-quark of the fourth generation. We have also considered the "b-quark-replaced" NBS, estimated the masses of the lightest fermionic NBS: $M_{NBS}\gtrsim 300$ GeV, and discussed the larger masses of T-balls. We have developed a theory of the scalar T-ball's condensate and predicted the existence of three SM phases. Searching for heavy quark bound states at the Tevatron and LHC is discussed. We have constructed the possible form-factors of T-balls, and estimated the charge multiplicity coming from the T-ball's decays.
An arbitrary local theory of a symmetric two-tensor field $H_{μν}$ in Minkowski spacetime is considered, in which the equations of motion are required to be compatible with a nonlinear length-fixing constraint $H_{μν}^{2}=\pm M^{2}$ leading to spontaneous Lorentz invariance violation, SLIV ($M$ is the proposed scale for SLIV). Allowing the parameters in the Lagrangian to be adjusted so as to be consistent with this constraint, the theory turns out to correspond to linearized general relativity in the weak field approximation, while some of the massless tensor Goldstone modes appearing through SLIV are naturally collected in the physical graviton. In essence the underlying diffeomophism invariance emerges as a necessary condition for the tensor field $H_{μν}$ not to be superfluously restricted in degrees of freedom, apart from the constraint due to which the true vacuum in the theory is chosen by SLIV. The emergent theory appears essentially nonlinear, when expressed in terms of the pure Goldstone tensor modes and contains a plethora of new Lorentz and $CPT$ violating couplings. However, these couplings do not lead to physical Lorentz violation once this tensor field gravity is properly extended to conventional general relativity.
We argue that the consistent implementation of the multiple point principle (MPP) in the general non-supersymmetric two Higgs doublet model (2HDM) can lead to a set of approximate global custodial symmetries that ensure CP conservation in the Higgs sector and the absence of flavour changing neutral currents (FCNC) in the considered model. In particular the existence of a large set of degenerate vacua at some high energy scale $Λ$ caused by the MPP can result in approximate U(1) and Z(2) symmetries that suppress FCNC and CP--violating interactions in the 2HDM. We explore the renormalisation group (RG) flow of the Yukawa and Higgs couplings within the MPP inspired 2HDM with approximate custodial symmetries and show that the solutions of the RG equations are focused near quasi--fixed points at low energies if the MPP scale scale $Λ$ is relatively high. We study the Higgs spectrum and couplings near the quasi--fixed point at moderate values of $\tanβ$ and compute a theoretical upper bound on the lightest Higgs boson mass. If $Λ\gtrsim 10^{10} {GeV}$ the lightest CP--even Higgs boson is always lighter than $125 {GeV}$. When the MPP scale is low, the mass of the lightest Higgs particle can reach $180-220 {GeV}$ while its coupling to the top quark can be significantly larger than in the SM, resulting in the enhanced production of Higgs bosons at the LHC.
We calculate, with several corrections, the non-relativistic binding by Higgs exchange and gluon exchange between six top and six anti-top quarks (actually replaced by left-handed b quarks from time to time). The remarkable result is that, within our calculational accuracy of the order of 14% in the top quark Yukawa coupling g_t, the experimental running top-quark Yukawa coupling g_t = 0.935 happens to have just that value which gives a perfect cancellation of the unbound mass = 12 top-quark masses by this binding energy. In other words the bound state is massless to the accuracy of our calculation. Our calculation is in disagreement with a similar calculation by Kuchiev et al., but this deviation may be explained by a phase transition. We and Kuchiev et al. compute on different sides of this phase transition.