We present results of phenomenological studies for top-quark pair production at the LHC at the center of mass energy √ S = 7 TeV. The transverse momentum and rapidity distributions for finalstate top quarks are calculated in perturbative QCD at approximate next-to-next-to-leading order O(α 4 s ) by using methods of threshold resummation beyond the leading logarithmic accuracy. The theoretical predictions are obtained by using the computer code DIFFTOP and are compared to recent measurements by the ATLAS and CMS collaborations. DIFFTOP can be employed in the general case of heavy-quark pair production at hadron-hadron colliders and provides a basis for applications in QCD analyses for parton distribution functions determination.
Introduction.Since its discovery at the Tevatron, the top quark has been playing an extremely important role in particle phenomenology.Its mass, a fundamental parameter of the Standard Model (SM), is the largest in the quark families and it is close to the electroweak symmetry breaking (EWSB) scale. Therefore, the top quark behaves differently with respect to the other quarks for many reasons. The leading decay channel of the top-quark into a b quark and a W boson, is mainly controlled by weak interactions, thus decay properties like spin correlations and helicity can be investigated in a clean way in the decay products, before that hadronization takes place. This is crucial for precision measurements and tests of the electroweak (EW) sector. Furthermore, the mass of the top quark recently obtained from the combined results of the measurements of the CMS and ATLAS [1] collaborations at the LHC, is m t = 173.3 ± 0.76 GeV and since it is close to the mass of the Higgs boson, it gives us the possibility of studying the interplay between the Higgs sector and top-quark physics.Due to the large mass, processes involving final-state top quarks in high-energy hadronic reactions are excellent candidates to probe parton distribution functions (PDFs) of the proton in kinematic regions where these (particularly the gluon) are currently poorly constrained and are correlated with the strong coupling constant α s and top-quark mass m t .LHC run-I provided us with the possibility to perform precise measurements of total and differential cross sections for top-quark pair production at center-of-mass energies √ S = 7 and 8 TeV, recently published by the CMS [2, 3] and ATLAS [4,5,6] collaborations. These measurements are being used in multiple phenomenological analyses where tt data are used to test the properties of the Standard Model (SM), QCD factorization and to investigate possible signals of physics beyond the SM (BSM).Total and differential cross sections for tt pair production at the LHC are mostly driven by the gluon-gluon luminosity, in which the gluon PDF is probed at large values of the parton momentum fraction x ≈ 0.1. The inclusion of tt pair production measurements in global QCD analyses for PDF determinations will allows us to investigate the correlation between the top-quark mass m t , stron...