Home > Publications database > Transverse Momentum Resummation at Forward Rapidities and Its Applications to LHC Physics |
Master Thesis | PUBDB-2017-13225 |
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2017
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Please use a persistent id in citations: doi:10.3204/PUBDB-2017-13225
Abstract: Differential measurements in the LHC precision era require precise theoretical predictions to match.One class of important observables are transverse momentum ($q_T$) distributions of color-singlet final states such as the Higgs boson or Drell-Yan lepton pairs.Related observables are color-singlet production cross sections with a jet veto, e.g. a cut $p_T^\mathrm{jet} < p_T^\mathrm{cut}$ on the transverse momentum of the leading jet.For both cases, well-known factorization theorems exist to describe the cross section at central rapidity or, equivalently, integrated in rapidity.These factorization theorems enable the all-order resummation of Sudakov logarithms induced by initial-state radiation.We show how to systematically extend the known factorization theorems to the region of forward rapidities,where the kinematic constraint induces additional single logarithms of the distance from kinematic endpoint.We identify three different kinematic regimes that lead to distinct factorization theorems,compute all new ingredients at one-loop order, and discuss RG consistency relations in detail.We analyze the matching between regimes and give a novel argument why one set of power corrections vanishes to all orders in the strong coupling, for both $q_T$ and $p_T^\mathrm{cut}$.This provides all ingredients for a NNLL'$+$NNLO $q_T$ ($p_T^\mathrm{cut}$) resummation analysis fully differential in rapidity. For our numerical analysis we extend the known profile scale framework from jet veto resummation to forward rapidities,permitting a careful analysis of perturbative uncertainties,which to our knowledge is the first application of profile scales to double-differential cross sections.We conclude by presenting numerical results at NNLL($+$NLO) for rapidity spectra with a jet veto for selected LHC processes.
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