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.
Highlights
The production of photons, W ’s, Z’s and Higgs bosons are important processes which allow us to test the Standard Model and extract its fundamental parameters
The understanding of the boson distribution is always complicated by the presence of hadronic activities in the events, which are governed by quantum chromodynamics (QCD)
We focus on the effects of resummation in perturbative QCD, and we impose an upper limit of xT < xmT ax = 1.5 GeV−1 in the xT -integral [11]
Summary
The production of photons, W ’s, Z’s and Higgs bosons are important processes which allow us to test the Standard Model and extract its fundamental parameters. The transverse momentum pT distribution of the lepton pair in the Drell-Yan process is a classic example which requires the resummation of log(MV /pT ) in the regime of pT mV , where MV is the vector boson mass This can be achieved to all-orders using the standard formalism by Collins, Soper and Sterman (CSS) [1]. Through interactions with the medium, jets in the event can be significantly modified while the color-singlet boson remains intact that can serve as a robust reference of the hard scattering process This makes boson+jet production a useful channel for studying the properties of QGP though the relation between transverse momentum broadening and energy loss of jets in high-energy nuclear collisions [46], which requires a proper resummation of large logarithms [24, 47, 48]. We will discuss the factorization of the cross section in SCET and resum large logarithms using RG techniques
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