Single-diffractive Drell–Yan pair production at the LHC

Abstract

We present predictions for single-diffractive lowmass Drell-Yan pair production in pp collisions at the LHC at √ s = 13 TeV. Predictions are obtained adopting a factorised form for the relevant cross sections and are based on a new set of diffractive parton distributions resulting from the QCD analysis of combined HERA leading proton data. We discuss a number of observables useful to characterise the expected factorisation breaking effects.

Phenomenology of diffractive DIS in the framework of fracture functions and determination of diffractive parton distribution functions

“…The index i in Eq. (5) runs on the flavors of the interacting partons in the proton [27]. The quark and gluon hard scattering coefficient functions, C q and C g , which appeared in above equation are perturbatively calculable as a power expansion in the strong coupling and are the same as in fully inclusive DIS process [30].…”

“…The quark and gluon hard scattering coefficient functions, C q and C g , which appeared in above equation are perturbatively calculable as a power expansion in the strong coupling and are the same as in fully inclusive DIS process [30]. As one can find in literature, for example [15-17, 19-21, 31-33] as well as our discussion in previous section, in order to describe the diffractive DIS events, two more variable in addition to the usual DIS kinemtical variables are also needed which are the longitudinal momentum fraction x I P and the invariant momentum transfer t. In the general factorization theorem [11,28,29] for the diffractive DIS events in the form of above equation holds at fixed values of x I P and invariant momentum transfer t [27]. Hence, the parton content of the colour singlet exchange described by diffractive PDFs, F D i/p , is uniquely controlled by the kinematics of the outgoing protons in which carry the fractional momentum of 1 − x I P .…”

“…(5) are known as "proton-to-proton fracture functions" [22] in the very forward kinematical region. It can be interpreted as the number density of interacting partons at a given scale of µ 2 with fractional momentum of β conditional to the detection of a final state proton (p) with fractional momentum 1 − x I P and invariant momentum transfer t [27]. As in the inclusive case, the Q 2 evolution of the diffractive DIS events can be predicted in pQCD.…”

“…We do so by using a methodology which has been suggested in Refs. [22,23], and recently used to study leading neutron production [24][25][26] as well as inclusive diffractive DIS [27]: the so called "fracture function approach".…”

Role of higher twist effects in diffractive DIS and determination of diffractive parton distribution functions

“…The latest H1/ZEUS combined dataset for the reduced diffractive cross sections, σ cent analyses from GKG18-DPDF [13], HK19-DPDF [18] and the analysis in Ref. [50], used the H1/ZEUS combined datasets in their analyses, however, those studies make no attempt to consider the beneficial effect arising from the inclusion of HT terms. Another dataset is the measurement of inclusive diffractive DIS from H1-LRG-11, which is derived from the H1 detector in 2006 and 2007.…”