The LPM effect in sequential bremsstrahlung: 1/ N c 2 $$ {\mathrm{N}}_{\mathrm{c}}^2 $$ corrections
Abstract An important question concerning in-medium high-energy parton showers in a quark-gluon plasma or other QCD medium is whether consecutive splittings of the partons in a given shower can be treated as quantum mechanically independent, or whether the formation times for two consecutive splitti...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2022)194 |
| _version_ | 1798038957646151680 |
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| author | Peter Arnold Omar Elgedawy |
| author_facet | Peter Arnold Omar Elgedawy |
| author_sort | Peter Arnold |
| collection | DOAJ |
| description | Abstract An important question concerning in-medium high-energy parton showers in a quark-gluon plasma or other QCD medium is whether consecutive splittings of the partons in a given shower can be treated as quantum mechanically independent, or whether the formation times for two consecutive splittings instead have significant overlap. Various previous calculations of the effect of overlapping formation times have either (i) restricted attention to a soft bremsstrahlung limit, or else (ii) used the large-N c limit (where N c = 3 is the number of quark colors). In this paper, we make a first study of the accuracy of the large-N c limit used by those calculations of overlap effects that avoid a soft bremsstrahlung approximation. Specifically, we calculate the 1/ N c 2 $$ {N}_{\mathrm{c}}^2 $$ correction to previous N c = ∞ results for overlap g → gg → ggg of two consecutive gluon splittings g → gg. At order 1/ N c 2 $$ {N}_{\mathrm{c}}^2 $$ , there is interesting and non-trivial color dynamics that must be accounted for during the overlap of the formation times. |
| first_indexed | 2024-04-11T21:47:21Z |
| format | Article |
| id | doaj.art-0aaf344f112e4fb788a94e24e8336f59 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T21:47:21Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0aaf344f112e4fb788a94e24e8336f592022-12-22T04:01:23ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022815110.1007/JHEP08(2022)194The LPM effect in sequential bremsstrahlung: 1/ N c 2 $$ {\mathrm{N}}_{\mathrm{c}}^2 $$ correctionsPeter Arnold0Omar Elgedawy1Department of Physics, University of VirginiaDepartment of Physics, University of VirginiaAbstract An important question concerning in-medium high-energy parton showers in a quark-gluon plasma or other QCD medium is whether consecutive splittings of the partons in a given shower can be treated as quantum mechanically independent, or whether the formation times for two consecutive splittings instead have significant overlap. Various previous calculations of the effect of overlapping formation times have either (i) restricted attention to a soft bremsstrahlung limit, or else (ii) used the large-N c limit (where N c = 3 is the number of quark colors). In this paper, we make a first study of the accuracy of the large-N c limit used by those calculations of overlap effects that avoid a soft bremsstrahlung approximation. Specifically, we calculate the 1/ N c 2 $$ {N}_{\mathrm{c}}^2 $$ correction to previous N c = ∞ results for overlap g → gg → ggg of two consecutive gluon splittings g → gg. At order 1/ N c 2 $$ {N}_{\mathrm{c}}^2 $$ , there is interesting and non-trivial color dynamics that must be accounted for during the overlap of the formation times.https://doi.org/10.1007/JHEP08(2022)194Finite Temperature or Finite DensityQuark-Gluon Plasma |
| spellingShingle | Peter Arnold Omar Elgedawy The LPM effect in sequential bremsstrahlung: 1/ N c 2 $$ {\mathrm{N}}_{\mathrm{c}}^2 $$ corrections Journal of High Energy Physics Finite Temperature or Finite Density Quark-Gluon Plasma |
| title | The LPM effect in sequential bremsstrahlung: 1/ N c 2 $$ {\mathrm{N}}_{\mathrm{c}}^2 $$ corrections |
| title_full | The LPM effect in sequential bremsstrahlung: 1/ N c 2 $$ {\mathrm{N}}_{\mathrm{c}}^2 $$ corrections |
| title_fullStr | The LPM effect in sequential bremsstrahlung: 1/ N c 2 $$ {\mathrm{N}}_{\mathrm{c}}^2 $$ corrections |
| title_full_unstemmed | The LPM effect in sequential bremsstrahlung: 1/ N c 2 $$ {\mathrm{N}}_{\mathrm{c}}^2 $$ corrections |
| title_short | The LPM effect in sequential bremsstrahlung: 1/ N c 2 $$ {\mathrm{N}}_{\mathrm{c}}^2 $$ corrections |
| title_sort | lpm effect in sequential bremsstrahlung 1 n c 2 mathrm n mathrm c 2 corrections |
| topic | Finite Temperature or Finite Density Quark-Gluon Plasma |
| url | https://doi.org/10.1007/JHEP08(2022)194 |
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