Resummation of Boson-Jet Correlation at Hadron Colliders

We perform a precise calculation of the transverse momentum ($ {\overrightarrow{q}}_T $) distribution of the boson+jet system in boson production events. The boson can be either a photon, W, Z or Higgs boson with mass m$_{V}$, and $ {\overrightarrow{q}}_T $ is the sum of the transverse momenta of the boson and the leading jet with magnitude q$_{T}$ = |$ {\overrightarrow{q}}_T $|. Using renormalization group techniques and soft-collinear effective theory, we resum logarithms log (Q/q$_{T}$) and log R at next-to- leading logarithmic accuracy including the non-global logarithms, where Q and R are respectively the hard scattering energy and the radius of the jet. Specifically, we investigate two scenarios of $ {p}_T^J $ ≲ m$_{V}$ or $ {p}_T^J $ ≳ m$_{V}$ in Z +jet events, and we examine the q$_{T}$ distributions with different jet radii and study the effect of non-global logarithms. In the end we compare our theoretical calculations with Monte Carlo simulations and data from the LHC.