Path-length dependence of parton and jet energy loss from universal scaling laws
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2024
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| author | Arleo, François Falmagne, Guillaume |
| author_facet | Arleo, François Falmagne, Guillaume |
| contents | The universal dependence of hadron suppression, $R_{\rm{AA}}(p_\perp)$, observed at large-$p_\perp$ in heavy ion collisions at RHIC and LHC allows for a systematic determination of the average parton energy loss $\langle ε\rangle$ in quark-gluon plasma (QGP). A simple relation between $\langle ε\rangle$ and the soft particle multiplicity allows for probing the dependence of parton energy loss on the medium path-length. We find that all the available measurements are consistent with $\langle ε\rangle \propto L^β$ with $β=1.02\pm^{0.09}_{0.06}$, consistent with the pQCD expectation of parton energy loss in a longitudinally expanding QGP. We then show, based on the model predictions, that the data on the azimuthal anisotropy coefficient divided by the collision eccentricity, $v_2/\rm{e}$, follows the same scaling property as $R_{\rm{AA}}$. Finally, a linear relationship between $v_2/\rm{e}$ and the logarithmic derivative of $R_{\rm{AA}}$ at large $p_\perp$ offers a purely data-driven access to the $L$ dependence of parton energy loss. Quite remarkably, both hadron and jet measurements obey this latter relationship, moreover with consistent values of $β$. This points to the same parametric path-length dependence of parton and jet energy loss in QGP. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_13258 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Path-length dependence of parton and jet energy loss from universal scaling laws Arleo, François Falmagne, Guillaume High Energy Physics - Phenomenology High Energy Physics - Experiment The universal dependence of hadron suppression, $R_{\rm{AA}}(p_\perp)$, observed at large-$p_\perp$ in heavy ion collisions at RHIC and LHC allows for a systematic determination of the average parton energy loss $\langle ε\rangle$ in quark-gluon plasma (QGP). A simple relation between $\langle ε\rangle$ and the soft particle multiplicity allows for probing the dependence of parton energy loss on the medium path-length. We find that all the available measurements are consistent with $\langle ε\rangle \propto L^β$ with $β=1.02\pm^{0.09}_{0.06}$, consistent with the pQCD expectation of parton energy loss in a longitudinally expanding QGP. We then show, based on the model predictions, that the data on the azimuthal anisotropy coefficient divided by the collision eccentricity, $v_2/\rm{e}$, follows the same scaling property as $R_{\rm{AA}}$. Finally, a linear relationship between $v_2/\rm{e}$ and the logarithmic derivative of $R_{\rm{AA}}$ at large $p_\perp$ offers a purely data-driven access to the $L$ dependence of parton energy loss. Quite remarkably, both hadron and jet measurements obey this latter relationship, moreover with consistent values of $β$. This points to the same parametric path-length dependence of parton and jet energy loss in QGP. |
| title | Path-length dependence of parton and jet energy loss from universal scaling laws |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2411.13258 |