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Phys."],"abstract":"<jats:title>A<jats:sc>bstract<\/jats:sc>\n          <\/jats:title>\n          <jats:p>We present a systematic study of how different choices of ordering and phase-space constraints in parton showers affect the space-time structure of vacuum parton cascades and their interface with jet quenching models. Using a simplified Monte Carlo shower implemented at double logarithmic accuracy, we analyse variations in emission patterns and resulting phase-space arising from three ordering variables: inverse formation time, invariant mass, and opening angle. These are coupled with two kinematic reconstruction schemes defined by different phase-space constraints. We show that, while global features are relatively stable, differences emerge in the temporal evolution of the cascade. To probe the impact of these differences, we introduce a simplified model for in-medium energy loss based on formation time and colour decoherence, enabling us to evaluate the sensitivity of quenching observables to the underlying space-time structure of the vacuum shower. We further quantify the role of time-ordering violations and propose strategies to preserve a consistent space-time interpretation. Lastly, we explore a range of alternative quenching models confirming the robustness of our conclusions. Our findings highlight the importance of maintaining a coherent space-time structure in parton shower algorithms when modelling jet propagation in an extended QCD medium, as this structure becomes a physically meaningful and testable component of the jet itself.<\/jats:p>","DOI":"10.1007\/jhep08(2025)160","type":"journal-article","created":{"date-parts":[[2025,8,20]],"date-time":"2025-08-20T18:27:29Z","timestamp":1755714449000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Assessing uncertainties in parton showers at double logarithmic accuracy for jet quenching studies"],"prefix":"10.1007","volume":"2025","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8378-1302","authenticated-orcid":false,"given":"Carlota","family":"Andres","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/042nb2s44","id-type":"ROR","asserted-by":"publisher"}],"name":"Massachusetts Institute of Technology"},{"id":[{"id":"https:\/\/ror.org\/01hys1667","id-type":"ROR","asserted-by":"publisher"}],"name":"LIP \u2014 Laborat\u00f3rio de Instrumenta\u00e7\u00e3o e F\u00edsica Experimental de Part\u00edculas"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3500-9681","authenticated-orcid":false,"given":"Liliana","family":"Apolin\u00e1rio","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01hys1667","id-type":"ROR","asserted-by":"publisher"}],"name":"LIP \u2014 Laborat\u00f3rio de Instrumenta\u00e7\u00e3o e F\u00edsica Experimental de Part\u00edculas"},{"id":[{"id":"https:\/\/ror.org\/01c27hj86","id-type":"ROR","asserted-by":"publisher"}],"name":"Universidade de Lisboa"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0940-0783","authenticated-orcid":false,"given":"N\u00e9stor","family":"Armesto","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/030eybx10","id-type":"ROR","asserted-by":"publisher"}],"name":"Universidade de Santiago de Compostela"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8845-0625","authenticated-orcid":false,"given":"Andr\u00e9","family":"Cordeiro","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01hys1667","id-type":"ROR","asserted-by":"publisher"}],"name":"LIP \u2014 Laborat\u00f3rio de Instrumenta\u00e7\u00e3o e F\u00edsica Experimental de Part\u00edculas"},{"id":[{"id":"https:\/\/ror.org\/01c27hj86","id-type":"ROR","asserted-by":"publisher"}],"name":"Universidade de Lisboa"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2477-621X","authenticated-orcid":false,"given":"Fabio","family":"Dominguez","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/030eybx10","id-type":"ROR","asserted-by":"publisher"}],"name":"Universidade de Santiago de Compostela"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8154-3688","authenticated-orcid":false,"given":"Jos\u00e9 Guilherme","family":"Milhano","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01hys1667","id-type":"ROR","asserted-by":"publisher"}],"name":"LIP \u2014 Laborat\u00f3rio de Instrumenta\u00e7\u00e3o e F\u00edsica Experimental de Part\u00edculas"},{"id":[{"id":"https:\/\/ror.org\/01c27hj86","id-type":"ROR","asserted-by":"publisher"}],"name":"Universidade de Lisboa"}]}],"member":"297","published-online":{"date-parts":[[2025,8,20]]},"reference":[{"key":"27019_CR1","doi-asserted-by":"publisher","first-page":"130","DOI":"10.21468\/SciPostPhys.16.5.130","volume":"16","author":"JM Campbell","year":"2024","unstructured":"J.M. 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