Abstract
We calculate the cross section for production of a soft photon and two hard jets in the forward rapidity region in proton-nucleus collisions at high energies. The calculation is performed within the hybrid formalism. The hardness of the final particles is defined with respect to the saturation scale of the nucleus. We consider both the correlation limit of small momentum imbalance and the dilute target limit where the momentum imbalance is of the order of the hardness of the jets. The results depend on the first two transversemomentum-dependent (TMD) gluon distributions of the nucleus.
Highlights
Of the nucleus can be probed at small x and experiments at the LHC, LHCb and future upgrades of ALICE, should be able to perform the relevant measurements
After obtaining the full cross section, eq (2.25), we have calculated two limits of this production cross section: the back-to-back correlation limit (the final result is given in eq (3.13)) and the dilute target limit (the final result is given in eq (4.11))
In the back-to-back correlation limit, the produced jets have transverse momenta much larger than the saturation scale of the target whereas the transverse momentum imbalance of the jets is of the order of the saturation scale
Summary
The dominant contribution to photon production in p-A scattering comes from the photon emission off the projectile quarks that propagate through the strong color field of the target. We note that there are non negligible contributions coming from collinear twoparton densities in the incoming proton, i.e., one quark emitting a photon and going through the target, while the other parton, quark or gluon, going through the target independently and producing the second jet. Analysis of this type of processes is a recent development within the hybrid model approach [40]. Our primary interest in this paper will be in the projectile quark state, which has to be dressed by both gluon and photon radiation at NLO
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