Resummation of Boson-Jet Correlation at Hadron Colliders

Abstract

We perform a precise calculation of the transverse momentum (${\vec{q}}_T$) 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 ${\vec{q}}_T$ is the sum of the transverse momenta of the boson and the leading jet with magnitude $q_T=|{\vec{q}}_T|$. 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 $p_T^J\lesssim m_V$ or $p_T^J\gtrsim m_V$ 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.

35 pages, 7 figures