Molière scattering in quark-gluon plasma: finding point-like scatterers in a liquid

By finding rare (but not exponentially rare) large-angle deflections of partons within a jet produced in a heavy ion collision, or of such a jet itself, experimentalists can find the weakly coupled short-distance quark and gluon particles (scatterers) within the strongly coupled liquid quark-gluon p...

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Main Authors: D’Eramo, Francesco, Rajagopal, Krishna, Yin, Yi
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2019
Online Access:http://hdl.handle.net/1721.1/120134
https://orcid.org/0000-0001-5812-8718
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author D’Eramo, Francesco
Rajagopal, Krishna
Yin, Yi
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
D’Eramo, Francesco
Rajagopal, Krishna
Yin, Yi
author_sort D’Eramo, Francesco
collection MIT
description By finding rare (but not exponentially rare) large-angle deflections of partons within a jet produced in a heavy ion collision, or of such a jet itself, experimentalists can find the weakly coupled short-distance quark and gluon particles (scatterers) within the strongly coupled liquid quark-gluon plasma (QGP) produced in heavy ion collisions. This is the closest one can come to probing QGP via a scattering experiment and hence is the best available path toward learning how a strongly coupled liquid emerges from an asymptotically free gauge theory. The short-distance, particulate, structure of liquid QGP can be revealed in events in which a jet parton resolves, and scatters off, a parton from the droplet of QGP. The probability for picking up significant transverse momentum via a single scattering was calculated previously, but only in the limit of infinite parton energy which means zero angle scattering. Here, we provide a leading order perturbative QCD calculation of the Molière scattering probability for incident partons with finite energy, scattering at a large angle. We set up a thought experiment in which an incident parton with a finite energy scatters off a parton constituent within a “brick” of QGP, which we treat as if it were weakly coupled, as appropriate for scattering with large momentum transfer, and compute the probability for a parton to show up at a nonzero angle with some energy. We include all relevant channels, including those in which the parton that shows up at a large angle was kicked out of the medium as well as the Rutherford-like channel in which what is seen is the scattered incident parton. The results that we obtain will serve as inputs to future jet Monte Carlo calculations and can provide qualitative guidance for how to use future precise, high statistics, suitably differential measurements of jet modification in heavy ion collisions to find the scatterers within the QGP liquid. Keywords: Quark-Gluon Plasma; Phase Diagram of QCD
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spelling mit-1721.1/1201342022-09-30T16:17:50Z Molière scattering in quark-gluon plasma: finding point-like scatterers in a liquid D’Eramo, Francesco Rajagopal, Krishna Yin, Yi Massachusetts Institute of Technology. Center for Theoretical Physics Rajagopal, Krishna Yin, Yi By finding rare (but not exponentially rare) large-angle deflections of partons within a jet produced in a heavy ion collision, or of such a jet itself, experimentalists can find the weakly coupled short-distance quark and gluon particles (scatterers) within the strongly coupled liquid quark-gluon plasma (QGP) produced in heavy ion collisions. This is the closest one can come to probing QGP via a scattering experiment and hence is the best available path toward learning how a strongly coupled liquid emerges from an asymptotically free gauge theory. The short-distance, particulate, structure of liquid QGP can be revealed in events in which a jet parton resolves, and scatters off, a parton from the droplet of QGP. The probability for picking up significant transverse momentum via a single scattering was calculated previously, but only in the limit of infinite parton energy which means zero angle scattering. Here, we provide a leading order perturbative QCD calculation of the Molière scattering probability for incident partons with finite energy, scattering at a large angle. We set up a thought experiment in which an incident parton with a finite energy scatters off a parton constituent within a “brick” of QGP, which we treat as if it were weakly coupled, as appropriate for scattering with large momentum transfer, and compute the probability for a parton to show up at a nonzero angle with some energy. We include all relevant channels, including those in which the parton that shows up at a large angle was kicked out of the medium as well as the Rutherford-like channel in which what is seen is the scattered incident parton. The results that we obtain will serve as inputs to future jet Monte Carlo calculations and can provide qualitative guidance for how to use future precise, high statistics, suitably differential measurements of jet modification in heavy ion collisions to find the scatterers within the QGP liquid. Keywords: Quark-Gluon Plasma; Phase Diagram of QCD United States. Department of Energy (Contract DE-SC0011090) 2019-01-28T15:59:58Z 2019-01-28T15:59:58Z 2019-01 2018-09 2019-01-24T04:43:04Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/120134 D’Eramo, Francesco et al. "Molière scattering in quark-gluon plasma: finding point-like scatterers in a liquid." Journal of High Physics 2019 (January 2019): 172 © 2019 The Author(s) https://orcid.org/0000-0001-5812-8718 en https://doi.org/10.1007/JHEP01(2019)172 Journal of High Energy Physics Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg
spellingShingle D’Eramo, Francesco
Rajagopal, Krishna
Yin, Yi
Molière scattering in quark-gluon plasma: finding point-like scatterers in a liquid
title Molière scattering in quark-gluon plasma: finding point-like scatterers in a liquid
title_full Molière scattering in quark-gluon plasma: finding point-like scatterers in a liquid
title_fullStr Molière scattering in quark-gluon plasma: finding point-like scatterers in a liquid
title_full_unstemmed Molière scattering in quark-gluon plasma: finding point-like scatterers in a liquid
title_short Molière scattering in quark-gluon plasma: finding point-like scatterers in a liquid
title_sort moliere scattering in quark gluon plasma finding point like scatterers in a liquid
url http://hdl.handle.net/1721.1/120134
https://orcid.org/0000-0001-5812-8718
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