Abstract
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 mV, and {overrightarrow{q}}_T is the sum of the transverse momenta of the boson and the leading jet with magnitude qT = | {overrightarrow{q}}_T |. Using renormalization group techniques and soft-collinear effective theory, we resum logarithms log (Q/qT) 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 ≲ mV or {p}_T^J ≳ mV in Z +jet events, and we examine the qT 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.
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