Strong coupling constant from scaling violations in fragmentation functions

SUSY-like relation of the splitting functions in evolution of gluon and quark jet multiplicities

We show the new relationship [1] between the anomalous dimensions, resummed through next-to-next-to-leading-logarithmic order, in the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations for the first Mellin moments Dq,g(μ2) of the quark and gluon fragmentation functions, which correspond to the average hadron multiplicities in jets initiated by quarks and gluons, respectively. So far, such relationships have only been known from supersymmetric (SUSY) QCD. Exploiting available next-to-nextto- next-to-leading-order (NNNLO) information on the ratio D+g (μ2)=D+q (μ2) of the dominant plus components, the fit of the world data of Dq,g(μ2) for charged hadrons measured in e+e- annihilation leads to α(5)s (MZ) = 0:1205 +0:0016 -0:0020.

Grand unification signal from ultrahigh energy cosmic rays?

The spectrum of ultrahigh energy (above approximately 10(9) GeV) cosmic rays is consistent with the decay of grand unification scale particles. The predicted mass is m(X) = 10(b) GeV, where b = 14.6(+1.6)(-1.7).