Back-to-back heavy quark pair production in semi-inclusive DIS

Abstract

The one-loop correction to heavy quark pair back-to-back production in unpolarized semi-inclusive deep inelastic scattering is given in this work in the framework of transverse momentum dependent(TMD) factorization. Both unpolarized and linearly polarized TMD gluon distribution functions are taken into account. A subtraction method based on diagram expansion is used to get finite hard coefficients. It is found the soft and collinear divergences of one-loop amplitude is proportional to tree level ones and can be expressed through several basic scalar triangle and bubble integrals. The subtraction of these divergences is spin independent. Beyond tree level an additional soft factor related to final heavy quark pair must be added into the factorization formula. This soft factor affects the azimuthal angle distribution of virtual photon in a nonperturbative way. Integrating over virtual photon azimuthal angle we construct three weighted cross sections, which depend on only three additional integrated soft factors. These weighted cross sections can be used to extract linearly polarized gluon distribution function. In addition, lepton azimuthal angle is unintegrated in this work, which provides more observables. All hard coefficients relevant to lepton and virtual photon azimuthal angle distributions are given at one-loop level.

TMD factorization for dijet and heavy-meson pair in DIS

“…The fragmentation of a heavy quark to a heavy meson is described by the heavy-quark fragmentation function which is studied in a plethora of processes (see for example [29][30][31]). The large scale of the process, which is introduced by the mass of the heavy quark, allows for the use of perturbation theory to calculate the fragmentation function up to small and universal non-perturbative corrections.…”

“…In this work we consider two alternative processes which are presently attracting increasing attention: the dijet [28] and heavy-meson pair [29][30][31] production in an electronhadron collider, as generated by the (γ * g) and/or (γ * f ) hard interactions. The processes are + h → + J 1 + J 2 + X, and + h → + H +H + X , (1.1) where and are the initial and final state leptons, h is the colliding hadron, and J i and H/H are the jets and heavy mesons, respectively.…”

Transverse momentum dependent distributions in dijet and heavy hadron pair production at EIC

“…[29,30] for dijet and in refs. [31][32][33] for heavy-meson pair production in an electron-hadron collider. The relevant processes for our case are…”

Transverse momentum dependent distributions in dijet and heavy hadron pair production at EIC

“…[29,30] for dijet and in ref. [31][32][33] for heavy-meson pair production in an electron-hadron collider. The relevant processes for our case are + h → + J 1 + J 2 + X, and…”