Medium induced transverse momentum broadening in hard processes

Abstract

Using deep inelastic scattering on a large nucleus as an example, we consider the transverse momentum broadening of partons in hard processes in the presence of medium. We find that one can factorize the vacuum radiation contribution and medium related PT broadening effects into the Sudakov factor and medium dependent distributions, respectively. Our derivations can be generalized to other hard processes, such as dijet productions, which can be used as a probe to measure the medium PT broadening effects in heavy ion collisions when Sudakov effects are not overwhelming.

Resummation of boson-jet correlation at hadron colliders

“…Through interactions with the medium, jets in the event can be significantly modified while the color-singlet boson remains intact that can serve as a robust reference of the hard scattering process. This makes boson+jet production a useful channel for studying the properties of QGP though the relation between transverse momentum broadening and energy loss of jets in high-energy nuclear collisions [45], which requires a proper resummation of large logarithms [24,46,47]. The kinematic information of the boson+jet system has been explored quite extensively [48][49][50][51][52][53][54].…”

Radiative corrections to the jet quenching parameter in dilute and dense media

“…Consider then the case where a high-energy quark is created in a DIS-like process and then rescatters once with the medium in which it propagates, as shown in Fig. 1 (see also [5] for a similar analysis in a related context). The relevant matrix element entering the calculation of the cross section for the process corresponds to the lower part of the diagram in Fig.…”

“…Before moving on to the calculation in the dilute case, it is worth noting that this approach has been extended [4,5], still in the multiple scattering framework, to the case where p 2 >qL in an ad hoc way by requiring that the formation time of the unmeasured gluon be shorter than the length of the medium. Even though this is a sensible assumption and the results are indeed correct, it is clear that in that region of phase space some of the approximations made here are not valid, and therefore the derivation must be revisited in the framework of an opacity expansion calculation where the finite length effects must be properly taken into account.…”

Groomed jets in heavy-ion collisions: sensitivity to medium-induced bremsstrahlung

“…In physical terms, this means that medium-induced gluons are produced at relatively large angles such that the probability for the de-clustering procedure to count a BDMPS-Z splitting as being the first in the cascade is close to unity. 6 See, e.g., [52,53] for a complementary treatment of Sudakov form factors due to momentum broadening, which do not play a role in our setup.…”