Contribution
Parton correlations effects in double parton distribution functions
Speakers
- Dr. Matteo RINALDI
Primary authors
- Dr. Matteo RINALDI (Universitat de València and Institut de Fisica Corpuscular, Valencia)
Co-authors
- Prof. sergio SCOPETTA (Università degli studi di Perugia and INFN section of Perugia)
- Prof. Marco TRAINI (Trento Univeristy and INFN-TIFPA, Trento)
- Prof. vicente VENTO (Universitat de València and Institut de Fisica Corpuscular, Valencia)
- Dr. Federico CECCOPIERI (Università degli studi di Perugia)
Files
Abstract content
We present recent studies on the effects of different kind of correlations in
double parton distribution functions (dPDFs). These quantities have been
calculated
in Ref. [1], within the Light-Front fully Poincar\'e covariant
approach and in a
constituent quark model framework. This first analysis shows how dynamical
correlations, induced by the used model, prevent the factorization of dPDFs
in terms of standard parton distribution function (PDFs). Furthermore, in order
to give useful predictions for experimental analyses, in Ref. [2],
the so called ``effective cross
section'', $\sigma_{eff}$, fundamental ingredient for the comprehension
of the role of double parton scattering in proton-proton collisions, has been
evaluated by means of the dPDFs calculated in Ref. \cite{rinaldi1}. In
addition, radiatively generated sea quarks and gluons have been included in
this
analysis, through the dPDF pQCD evolution.
The obtained $\sigma_{eff}$ shows, in particular, a strong $x$
dependence in the valence region, a feature not yet observed
in the experimental determination of $\sigma_{eff}$, given the present accuracy of the
experimental
analyses.
In two subsequent papers of ours, Refs. [3,4], we have
pursued the study
of different kind of correlation effects on dPDFs. In
the first one, the authors show the important role of perturbative and non
perturbative correlations in the $x_1$ and $x_2$ (longitudinal momentum
fraction carried by two partons in a proton) dependence of dPDFs also
at low values $x$ and at higher scales including, for the first
time, gluons and sea quarks non perturbatively generated.
In the second contribution [4], elaborating on the results presented
in Ref. \cite{rinaldi1},
the impact of model independent correlations, induced by
the correct treatment of relativity in the evaluation of dPDFs,
has been assessed, with particular emphasis on factorization of the
$(x_1, ~x_2)-b_\perp$ dependence, being $b_\perp$ the transverse distance
between the two partons.
References
[1] M. Rinaldi, S. Scopetta, M. Traini and V. Vento, JHEP 12, 028 (2014) [arXiv:1409.1500 [hep-ph]].
[2] M. Rinaldi, S. Scopetta, M. Traini and V. Vento, Phys. Lett. B 752, 40 (2016) doi:10.1016/j.physletb.2015.11.031 [arXiv:1506.05742 [hep-ph]].
[3] M. Rinaldi, S. Scopetta, M. C. Traini and V. Vento, arXiv:1608.02521 [hep-ph].
[4] M. Rinaldi, F. A. Ceccopieri in preparation. 2