Toward NNLL Resummation for Hadron Production in Hadronic Collisions

Abstract

We present results relevant for the extension of threshold resummation beyond the next-to-leading logarithmic (NLL) order for QCD hard-scattering processes. As an example, we consider di-hadron production $H_1{H}_2\to h_1{h}_{2}X$, where the produced pair has a large invariant mass. Taking into account the non-trivial color structure of the partonic hard-scattering process, we determine the hard and soft matrices in color space. In our numerical studies we find a significant improvement compared to previous results at NLL accuracy. In particular, the scale dependence of the resummed cross section is greatly reduced. In addition, we comment on the extension of the techniques developed in this work to other observables relevant for hadronic collisions.

Comments: Conference contribution, QCD evolution 2015, Jefferson Lab, Newport News, 26 - 30 May, 2015