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I will briefly review the QCD origin of the logarithmic log(s/t) corrections to many processes at the LHC and discuss very briefly their implementation in BFKL.
We will see that amplitudes can be constructed to capture the same logarithmic corrections as full QCD, while maintaining also the crossing symnmetry, Lorentz and gauge invariance, which are lost in BFKL.
"High Energy Jets" implements such amplitudes to obtain all-order logarithmic corrections. I will discuss recent measurements illustrating the importance of such corrections for certain observables already at present collider energies.