Has IceCube detected neutrinos coming from decays of p-adically scaled up copies of weak bosons?
This note was inspired by very interesting posting "Storm in IceCube" by Jester. IceCube is a neutrino detector located at South Pole. Most of the neutrinos detected are atmospheric neutrinos originating from Sun but what one is interested in are neutrinos from astrophysical sources.
- Last year the collaboration reported the detection for neutrino cascade events, with with energy around 1 PeV=106 GeV. The atmospheric background decreases rapidly with energy and at these energies the detection of a pair of events at these energies corresponds to about 3 sigma. The recent report tells about a broad excess of events (28 events) above 30 TeV: only about 10 are expected from atmospheric neutrinos alone. The flavor composition is consistent with 1:1:1 ratio of the 3 neutrino species as expected for distant sources for which the oscillations during the travel should cause complete mixing. The distribution of the observed events is consistent with isotropy.
- There is a dip ranging from .4 PeV to about 1 PeV and the spectrum has probably a sharp cutoff somewhat above 1 TeV. This suggests a monochromatic neutrino line resulting from the decays of some particle decaying to neutrino and some other particle - possibly also neutrino (see this). Astrophysical phenomena with standard model physics are expected to produce smooth power-law spectrum - typically 1/E2 - rather than peak. The proposal is that the events around 1 PeV could come from the decay of dark matter particles with energy scale of 2 TeV. The observation of two events gives a bound for the life-time of dark matter particle in question: about 1021 years much longer than the age of the Universe. The bound of course depends on what density is assumed for the dark matter.
- There is also a continuum excess in the range [.1, .4] PeV. This could result from many-particle decay channels containing more than 2 particles.
- TGD almost-predicts a fractal hierarchy of hadron physics and weak physics labelled by Mersenne primes Mn=2n-1. Also Gaussian primes MG,n= (1+i)n-1 are possible. M107 would correspond to the ordinary hadron physics. M89 would correspond to weak bosons and a scaled up copy of hadron physics, for which there are many indications: in particular, the breaking of perturbative QCD at rather high energies assignable at LHC to proton heavy nucleus collisions. The explanation in terms of AdS/CFT correspondence has not been successful and is not even well-motivated since it assumes strong coupling regime.
- The next Mersenne prime is M61 and the first guess is that the observed TeV neutrinos result from the decay of W and Z bosons of scale up copy of weak physics having mass near 1 TeV. The naivest estimate for the masses of these weak bosons is obtained by the naive scaling the masses of ordinary weak bosons by factor 2(89-61)/2=214. For mW=80 GeV and mZ=90 GeV one obtains mW(61)= 1.31 PeV and mZ(61)= 1.47 PeV. The energy of the mono-chromatic neutrino would be about about .65 PeV and .74 PeV in the two cases. This is in the almost empty range between .4 PeV and 1 PeV and too small roughly by a factor of kenosqrt2.
An improved estimate for upper bound of Z mass is based on the p-adic mass scale m(M89) related to the p-adic mass scale M127 of electron by scaling factor 2(127-89)/2= 219 giving m(89)≈ 120 GeV for me= (5+X)1/2m(127) =.51 MeV and X=0 (X≤ 1 holds true for the second order contribution to electron mass). The scaling by the factor 2(89-61)/2= 214 gives m(61)= 1.96 TeV consistent with the needed 2 TeV. The exact value of weak boson mass depends on the value of Weinberg angle sin2(θW) and the value of the second order contribution to the mass: m(61) gives upper bound for the mass of Z(61). The model predicts two peaks with distance depending on the value of Weinberg angle of M61 weak physics.
- What about the interpretation of the continuum part of anomaly? The proposed interpretation for many-particle decays looks rather reasonable. The simplest possibility is the decay to a pair of light quarks of M61 hadron physics, followed by a decay of quark or antiquark via emission of W boson decaying to lepton-neutrino pair.
For background see the chapter "New particle physics predicted by TGD: part I".
Note: The new (temporary) address of my homepage is http://www. tgdtheory.fi. The only change is the replacement of "com" with "fi" and one can get from any link to the new address just by replacing "com" with "fi".