Abstract
We evaluate nucleon four-point functions in the framework of lattice QCD in order to extract the first Mellin moment of double parton distributions (DPDs) in the unpolarized proton. In this first study, we employ an nf = 2+1 ensemble with pseudoscalar masses of mπ = 355 MeV and mK = 441 MeV. The results are converted to the scale μ = 2 GeV. Our calculation includes all Wick contractions, and for almost all of them a good statistical signal is obtained. We analyze the dependence of the DPD Mellin moments on the quark flavor and the quark polarization. Furthermore, the validity of frequently used factorization assumptions is investigated.
Highlights
The high-luminosity upgrade of the LHC will substantially improve its potential for discovering physics beyond the Standard Model
We evaluate nucleon four-point functions in the framework of lattice QCD in order to extract the first Mellin moment of double parton distributions (DPDs) in the unpolarized proton
Whilst the two hard-scattering processes in double parton scattering (DPS) proceed independently of each other, the partons that initiate them can be correlated. These correlations are quantified by double parton distributions (DPDs), which extend the familiar concept of parton distribution functions (PDFs) to the case of two partons extracted from one hadron
Summary
Whilst the two hard-scattering processes in DPS proceed independently of each other, the partons that initiate them can be correlated These correlations are quantified by double parton distributions (DPDs), which extend the familiar concept of parton distribution functions (PDFs) to the case of two partons extracted from one hadron. A complementary approach is to study correlations inside a hadron using lattice QCD This has long been pursued at the level of two-current correlation functions, with a focus on various physics aspects [51,52,53,54,55,56,57,58,59,60,61,62]. Such tests are especially important in view of the fact that many phenomenological models of DPS use similar factorization assumptions.
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