We derive the high energy asymptotic of one-and two-loop corrections in the nextto-next-to-leading logarithmic approximation to the differential cross section of W -pair production at the LHC. For large invariant mass of the W-pair the (negative) one-loop terms can reach more than 40%, which are partially compensated by the (positive) two-loop terms of up to 10%.
We derive the high energy asymptotic behavior of gauge boson production cross section in a spontaneously broken SU (2) gauge theory in the next-to-next-to-leading logarithmic approximation. On the basis of this result we obtain the logarithmically enhanced two-loop electroweak corrections to the differential cross section of W -pair production at ILC/CLIC up to the second power of the large logarithm.
We study an example of Grand Unified Theory (GUT), known as trinification, which was first introduced in 1984 by S.Glashow. This model has the GUT gauge group as [SU (3)] 3 with a discrete Z 3 to ensure the couplings are unified at the GUT scale. In this letter we consider this trinification model in its minimal formulation and investigate its robustness in the context of cosmology. In particular we show that for a large set of the parameter space the model doesn't seem to provide a Dark Matter candidate compatible with cosmological data.
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