The medium-modified $$ g\to c\overline{c} $$ splitting function in the BDMPS-Z formalism

Attems, Maximilian; Brewer, Jasmine; Innocenti, Gian Michele; Mazeliauskas, Aleksas; Park, Sohyun; Schee, Wilke van der; Wiedemann, Urs Achim

doi:10.1007/jhep01(2023)080

Cited by 7 publications

(2 citation statements)

References 111 publications

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“…This is what is usually done in most practical applications, and is therefore a very important test. For instance, for the special case of g → q q (even with massive quarks), this is the only contribution at large-N c [83].…”

Section: Validation Of the Numerical Results And Comparison To Approx...mentioning

confidence: 99%

Precise description of medium-induced emissions

Isaksen,

Tywoniuk

2023

J. High Energ. Phys.

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We study jet fragmentation via final-state parton splittings in the medium. These processes are usually calculated theoretically by invoking the large-Nc limit. In this paper we perform the first computation of a 1 → 2 parton splitting in a thermal medium at finite numbers of colors Nc, for arbitrary momentum-sharing fraction z and with full transverse dynamics. We show how the problem can be transformed into a system of coupled Schrödinger equations, that we solve numerically. The novel numerical results are used to estimate the accuracy of several widely used approximations. We check the error introduced while going from finite Nc (i.e. Nc = 3) to the large-Nc limit, which we find to be small. For unbalanced splittings, e.g. when z → 0, only one of the partons is affected by transverse momentum exchanges with the medium. The emission process then separates into a term responsible for the 1 → 2 splitting and the subsequent independent broadening of the daughter partons. This is also referred to as the factorizable term. For finite z, further contributions arise that are responsible for the coherent color dynamics of the two-parton system, and these are referred to as non-factorizable terms. These were argued to be small for soft (unbalanced) splittings and for large media. In this work we therefore determine the accuracy of keeping only the factorizable term of the large-Nc solution. We find that the error is insignificant at a small splitting fraction z ~ 0, but can be sizable in a more balanced splitting with z ~ 0.5. Finally, we also examine the eikonal approximation, which amounts to approximating the partons’ paths through the medium as straight lines. We find that it is associated with a substantial error for the parameter values we explored in this work.

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Section: Validation Of the Numerical Results And Comparison To Approx...mentioning

confidence: 99%

Precise description of medium-induced emissions

Isaksen,

Tywoniuk

2023

J. High Energ. Phys.

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“…Recently, a significant development has been the computation of the double-differential spectrum incorporating the resummation of multiple scatterings for finite z, without relying on the semi-hard approximation, for specific splittings. One of these cases is the in-medium g → c c splitting, which was obtained in the large number of colors (large-N c ) limit within the harmonic oscillator approximation [40], revealing an enhancement of the number of c c pairs in heavy-ion jets compared to p-p jets. Notably, the computation of this particular splitting at large N c is slightly less complicated compared to other 1 → 2 splittings, as it does not involve the calculation of 4-point correlators of Wilson lines (quadrupole).…”

Section: Pos(hardprobes2023)013mentioning

confidence: 99%

Jet medium modifications

Andres

2024

Proceedings of 11th International Conference on Hard and Elecctromagnetic Probes of High-Energy Nuclear Collisions — PoS(HardPr

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Since the start of the heavy-ion collision programs at the Relativistic Heavy Ion Collider and the Large Hadron Collider, the study of jet modifications resulting from their interactions with the produced QCD matter has provided a unique tool to investigate and characterize the properties of the quark-gluon plasma. In this mini-overview, I will present the recent theoretical advancements in describing and understanding the modifications of jets within a QCD medium.

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A unified picture of medium-induced radiation

Isaksen

Takács

Tywoniuk

2023

J. High Energ. Phys.

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We revisit the picture of jets propagating in the quark-gluon plasma. In addition to vacuum radiation, partons scatter on the medium constituents resulting in induced emissions. Analytical approaches to including these interactions have traditionally dealt separately with multiple, soft, or rare, hard scatterings. A full description has so far only been available using numerical methods. We achieve full analytical control of the relevant scales and map out the dominant physical processes in the full phase space. To this aim, we extend existing expansion schemes for the medium-induced spectrum to the Bethe-Heitler regime. This covers the whole phase space from early to late times, and from hard splittings to emissions below the thermal scale. Based on the separation of scales, a space-time picture naturally emerges: at early times, induced emissions start to build from rare scatterings with the medium. At a later stage, induced emissions due to multiple soft scatterings result in a turbulent cascade that rapidly degrades energy down to, and including, the Bethe-Heitler regime. We quantify the impact of such an improved picture, compared to the current state-of-the-art factorization that includes only soft scatterings, by both analytical and numerical methods for the medium-induced energy distribution function. Our work serves to improve our understanding of jet quenching from small to large systems and for future upgrades of Monte Carlo generators.

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The medium-modified $$ g\to c\overline{c} $$ splitting function in the BDMPS-Z formalism

Cited by 7 publications

References 111 publications

Precise description of medium-induced emissions

Precise description of medium-induced emissions

Jet medium modifications

A unified picture of medium-induced radiation

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