Jet shapes in dijet events at the LHC in SCET

Abstract

Abstract:We consider the class of jet shapes known as angularities in dijet production at hadron colliders. These angularities are modified from the original definitions in e + e − collisions to be boost invariant along the beam axis. These shapes apply to the constituents of jets defined with respect to either k T -type (anti-k T , C/A, and k T ) algorithms and conetype algorithms. We present an SCET factorization formula and calculate the ingredients needed to achieve next-to-leading-log (NLL) accuracy in kinematic regions where nonglobal logarithms are not large. The factorization formula involves previously unstudied "unmeasured beam functions," which are present for finite rapidity cuts around the beams. We derive relations between the jet functions and the shape-dependent part of the soft function that appear in the factorized cross section and those previously calculated for e + e − collisions, and present the calculation of the non-trivial, color-connected part of the soft-function to O(α s ). This latter part of the soft function is universal in the sense that it applies to any experimental setup with an out-of-jet p T veto and rapidity cuts together with two identified jets and it is independent of the choice of jet (sub-)structure measurement. In addition, we implement the recently introduced soft-collinear refactorization to resum logarithms of the jet size, valid in the region of non-enhanced non-global logarithm effects. While our results are valid for all 2 → 2 channels, we compute explicitly for the qq → qq channel the color-flow matrices and plot the NLL resummed differential dijet cross section as an explicit example, which shows that the normalization and scale uncertainty is reduced when the soft function is refactorized. For this channel, we also plot the jet size R dependence, the p cut T dependence, and the dependence on the angularity parameter a.

Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit

“…For hadron collider event shapes, NNLL resummation has been achieved for zero-jet [9][10][11] and one-jet event shapes [12]. However, many interesting effects, namely non-trivial color evolution and amplitude level factorization violation, first occur for dijet event shapes, for which complete results are only available at NLL [13][14][15][16][17][18].…”

Systematics of quark/gluon tagging

“…The parameters κ ≥ 0 and β ≥ 0 determine the momentum and angle weighting, respectively. For κ = 1, the generalized angularities are IRC safe and hence calculable in perturbation theory [29] (see also [28,[59][60][61][62]), and we will sometimes use the shorthand…”

Impact of jet veto resummation on slepton searches

“…refs. [14,23,25,[67][68][69][70][71][72][73][74][75][76][77][78]) and are established as a reliable method to assess the perturbative uncertainty in resummed predictions. Our profile scales are constructed by considering the relative size of the singular and nonsingular cross section contributions, as discussed in appendix B.2.…”