Medium-induced radiative kernel with the Improved Opacity Expansion
| Autor: | João C. A. Barata, Konrad Tywoniuk, Yacine Mehtar-Tani, Alba Soto-Ontoso |
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| Přispěvatelé: | Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Saclay-Commissariat à l'énergie atomique et aux énergies alternatives (CEA) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Power series
Nuclear and High Energy Physics heavy ion: scattering Opacity energy loss FOS: Physical sciences QC770-798 transverse momentum 01 natural sciences Omega frequency: high Momentum hard scattering High Energy Physics - Phenomenology (hep-ph) Nuclear and particle physics. Atomic energy. Radioactivity 0103 physical sciences Jets Coulomb Radiative transfer Resummation 010306 general physics numerical calculations quark gluon: plasma Physics 010308 nuclear & particles physics higher-order: 1 opacity Heavy Ion Phenomenology Computational physics multiple scattering High Energy Physics - Phenomenology resummation kinematics [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph] Asymptotic expansion performance |
| Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, 2021, 09, pp.153. ⟨10.1007/JHEP09(2021)153⟩ JHEP JHEP, 2021, 09, pp.153. ⟨10.1007/JHEP09(2021)153⟩ Journal of High Energy Physics (JHEP) Journal of High Energy Physics, Vol 2021, Iss 9, Pp 1-53 (2021) |
| ISSN: | 1126-6708 1029-8479 |
| DOI: | 10.1007/JHEP09(2021)153⟩ |
| Popis: | We calculate the fully differential medium-induced radiative spectrum at next-to-leading order (NLO) accuracy within the Improved Opacity Expansion (IOE) framework. This scheme allows us to gain analytical control of the radiative spectrum at low and high gluon frequencies simultaneously. The high frequency regime can be obtained in the standard opacity expansion framework in which the resulting power series diverges at the characteristic frequency $\omega_c\sim \hat q L^2$. In the IOE, all orders in opacity are resumed systematically below $\omega_c$ yielding an asymptotic series controlled by logarithmically suppressed remainders down to the thermal scale $T \ll \omega_c$, while matching the opacity expansion at high frequency. Furthermore, we demonstrate that the IOE at NLO accuracy reproduces the characteristic Coulomb tail of the single hard scattering contribution as well as the Gaussian distribution resulting from multiple soft momentum exchanges. Finally, we compare our analytic scheme with a recent numerical solution, that includes a full resummation of multiple scatterings, for LHC-inspired medium parameters. We find a very good agreement both at low and high frequencies showcasing the performance of the IOE which provides for the first time accurate analytic formulas for radiative energy loss in the relevant perturbative kinematic regimes for dense media. Comment: 54 pages, 5 figures. Typos fixed. Matches published version |
| Databáze: | OpenAIRE |
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