Abstract
We present our predictions for the inclusive production of two heavy quark–antiquark pairs, separated by a large rapidity interval, in the collision of (quasi-)real photons at the energies of LEP2 and of some future electron–positron colliders. We include in our calculation the full resummation of leading logarithms in the center-of-mass energy and a partial resummation of the next-to-leading logarithms, within the Balitsky–Fadin–Kuraev–Lipatov (BFKL) approach.
Highlights
A vast class of processes can be studied at high-energy colliders, called semihard processes, characterized by a clear hierarchy of scales, s Q2 Λ2QCD, where s is the squared center-of-mass energy, Q is the hard scale given by the process kinematics and ΛQCD is the QCD mass scale, which still represent a challenge for QCD in the high-energy limit
The theoretical framework for this resummation is provided by the Balitsky–Fadin–Kuraev–Lipatov (BFKL) approach [1], whereby a systematic procedure has become available for resumming all terms proportional to (αs ln(s))n, the so called leading logarithmic approximation (LLA), and those proportional to αs(αs ln(s))n, the so called next-to-leading approximation (NLA)
We have considered the inclusive photoproduction of two heavy quarks separated in rapidity, taking into account the resummation to all orders of the leading energy logarithms and the resummation of the next-to-leading ones entering the BFKL Green’s function
Summary
They offer, a unique opportunity to test the Standard Model in unprecedented kinematic ranges. The theoretical framework for this resummation is provided by the Balitsky–Fadin–Kuraev–Lipatov (BFKL) approach [1], whereby a systematic procedure has become available for resumming all terms proportional to (αs ln(s))n, the so called leading logarithmic approximation (LLA), and those proportional to αs(αs ln(s))n, the so called next-to-leading approximation (NLA) In both cases, within the BFKL approach, the (possibly differential) cross section of processes falling in the domain of perturbative QCD, takes a peculiar factorized form, whose ingredients are the impact factors describing the transition from each colliding particle to the respective final state object, and a process-independent Green’s function.
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