Dimitri Colferai

Renormalization group improved small x equation

We propose and analyze an improved small-

Mueller Navelet jets at LHC — complete next-to-leading BFKL calculation

x

Renormalization group improved small- x Green’s function

equation which incorporates exact leading and next-to-leading Balitski\ifmmode \breve{\imath}\else \u{\i}\fi{}-Fadin-Kuraev-Lipatov kernels on one hand and renormalization group constraints in the relevant collinear limits on the other. We work out in detail the recently proposed

The BFKL equation at next-to-leading level and beyond

\ensuremath{\omega}

A matrix formulation for small-x singlet evolution

expansion of the solution, derive the Greens function factorization properties and discuss both the gluon anomalous dimension and the hard Pomeron. The resummed results are stable, nearly renormalization-scheme independent, and join smoothly with the fixed order perturbative regime. Two critical hard Pomeron exponents

The gluon splitting function at moderately small x

{\ensuremath{\omega}}_{c}{(Q}^{2})

A collinear model for small-x physics

and

Extending QCD perturbation theory to higher energies

{\ensuremath{\omega}}_{s}{(Q}^{2})

Mueller Navelet jets at LHC - complete NLL BFKL calculation

are provided, which \char22{} for reasonable strong-coupling extrapolations \char22{} are argued to provide bounds on the Pomeron intercept

Dimensional regularisation and factorisation schemes in the BFKL equation at subleading level

{\ensuremath{\omega}}_{P}.