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There exists a graded Z-algebra acting in a natural way on many modules of 3-valent diagrams. Every simple Lie superalgebra with a nontrivial invariant bilinear form induces a character on. Classical and exceptional Lie algebras and the Lie superalgebra D(2; 1;) produce eight distinct characters on and eight distinct families of weight functions on chord(More)
KamLAND has measured the flux of nu;(e)'s from distant nuclear reactors. We find fewer nu;(e) events than expected from standard assumptions about nu;(e) propagation at the 99.95% C.L. In a 162 ton.yr exposure the ratio of the observed inverse beta-decay events to the expected number without nu;(e) disappearance is 0.611+/-0.085(stat)+/-0.041(syst) for(More)
The KamLAND experiment has determined a precise value for the neutrino oscillation parameter Deltam21(2) and stringent constraints on theta12. The exposure to nuclear reactor antineutrinos is increased almost fourfold over previous results to 2.44 x 10(32) proton yr due to longer livetime and an enlarged fiducial volume. An undistorted reactor nu[over]e(More)
The Kontsevich integral of a knot K lies in an algebra of diagrams A c (S 1). This algebra is (up to completion) a symmetric algebra of a graded module P, where P is the set of primitive elements of A c (S 1). The elements of P are represented by S 1-diagrams K such that the complement of the circle in K is connected and non empty. On the other hand there(More)
We present results of a study of neutrino oscillation based on a 766 ton/year exposure of KamLAND to reactor antineutrinos. We observe 258 nu (e) candidate events with energies above 3.4 MeV compared to 365.2+/-23.7 events expected in the absence of neutrino oscillation. Accounting for 17.8+/-7.3 expected background events, the statistical significance for(More)
The detection of electron antineutrinos produced by natural radioactivity in the Earth could yield important geophysical information. The Kamioka liquid scintillator antineutrino detector (KamLAND) has the sensitivity to detect electron antineutrinos produced by the decay of 238U and 232Th within the Earth. Earth composition models suggest that the(More)
We derive model-independent, "naturalness" upper bounds on the magnetic moments munu of Dirac neutrinos generated by physics above the scale of electroweak symmetry breaking. In the absence of fine-tuning of effective operator coefficients, we find that current information on neutrino mass implies that[EQUATION: SEE TEXT] bohr magnetons. This bound is(More)
The motivation, present status, and future plans of the search for ββ(0ν) decay are reviewed. It is argued that, motivated by the recent observations of neutrino oscillations, there is a reasonable hope that ββ(0ν) decay corresponding to the neutrino mass scale suggested by oscillations, mν ≈ 50 meV, actually exists. The challenges to achieve the(More)
All Rights Reserved iii Acknowledgements First, I would like to thank my advisor, Rod Goodman, for providing me with the resources and tools necessary to produce this work. Next, I would like to thank the members of my thesis defense committee, Martin, and Chris Diorio. I would also like to thank Petr Vogel for being on my candidacy committee. Thanks also(More)