The splitting processes of bremsstrahlung and pair production in a medium are coherent over large distances in the very high energy limit, which leads to a suppression known as the Landau-Pomeranchuk-Migdal (LPM) effect. We continue study of the case when the coherence lengths (formation lengths) of two consecutive splitting processes overlap, avoiding soft-emission approximations. Previous work made a “nearly-complete” calculation of the effect of overlapping formation times on gluonic splittings such as g → gg → ggg (with simplifying assumptions such as an infinite QCD medium and the large-N c limit). In this paper, we extend those previous rate calculations from nearly-complete to complete by including processes involving the exchange of longitudinally-polarized gluons. In the context of Lightcone Pertubation Theory, used earlier for the “nearly-complete” calculation, such exchanges are instantaneous in lightcone time and have their own diagrammatic representation.
{ "_oai": { "updated": "2023-02-24T00:33:05Z", "id": "oai:repo.scoap3.org:74118", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "USA", "value": "Department of Physics, University of Virginia, Charlottesville, VA, 22904, U.S.A.", "organization": "University of Virginia" } ], "surname": "Arnold", "email": "parnold@virginia.edu", "full_name": "Arnold, Peter", "given_names": "Peter" }, { "affiliations": [ { "country": "Germany", "value": "Technische Universit\u00e4t Darmstadt, Department of Physics, Darmstadt, 64289, Germany", "organization": "Technische Universit\u00e4t Darmstadt, Department of Physics" }, { "country": "Germany", "value": "ExtreMe Matter Institute EMMI and Helmholtz Research Academy for FAIR, GSI Helmholtzzentrum f\u00fcr Schwerionenforschung GmbH, Darmstadt, 64291, Germany", "organization": "ExtreMe Matter Institute EMMI and Helmholtz Research Academy for FAIR, GSI Helmholtzzentrum f\u00fcr Schwerionenforschung GmbH" } ], "surname": "Gorda", "email": "tyler.gorda@physik.tu-darmstadt.de", "full_name": "Gorda, Tyler", "given_names": "Tyler" }, { "affiliations": [ { "country": "Pakistan", "value": "National Centre for Physics, Quaid-i-Azam University Campus, Islamabad, 45320, Pakistan", "organization": "Quaid-i-Azam University Campus" }, { "country": "China", "value": "Institute of Particle Physics, Central China Normal University, Wuhan, 430079, China", "organization": "Central China Normal University" } ], "surname": "Iqbal", "email": "shahin@ncp.edu.pk", "full_name": "Iqbal, Shahin", "given_names": "Shahin" } ], "titles": [ { "source": "Springer", "title": "The LPM effect in sequential bremsstrahlung: incorporation of \u201cinstantaneous\u201d interactions for QCD" } ], "dois": [ { "value": "10.1007/JHEP11(2022)130" } ], "publication_info": [ { "page_end": "34", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2022", "artid": "JHEP11(2022)130", "year": 2022, "page_start": "1", "journal_issue": "11" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-02-24T00:31:01.463549", "source": "Springer", "method": "Springer", "submission_number": "5f487fa6b3da11eda920065bd8dc6b20" }, "page_nr": [ 34 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2022" } ], "control_number": "74118", "record_creation_date": "2022-11-25T21:30:22.876791", "_files": [ { "checksum": "md5:8a3ff99b41ea3bf046179528491c13b4", "filetype": "xml", "bucket": "3407c2c8-1cb8-46b9-8f30-538a14eb0872", "version_id": "13292dc3-303d-4a5f-8b8b-0a75717c6567", "key": "10.1007/JHEP11(2022)130.xml", "size": 13486 }, { "checksum": "md5:b2e46bc1060ea24884bbb3dba5fa69b6", "filetype": "pdf/a", "bucket": "3407c2c8-1cb8-46b9-8f30-538a14eb0872", "version_id": "3bc9fbee-1dc3-4ffd-a55b-39ecd945492b", "key": "10.1007/JHEP11(2022)130_a.pdf", "size": 657468 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "nucl-th" ], "value": "2209.03971" } ], "abstracts": [ { "source": "Springer", "value": "The splitting processes of bremsstrahlung and pair production in a medium are coherent over large distances in the very high energy limit, which leads to a suppression known as the Landau-Pomeranchuk-Migdal (LPM) effect. We continue study of the case when the coherence lengths (formation lengths) of two consecutive splitting processes overlap, avoiding soft-emission approximations. Previous work made a \u201cnearly-complete\u201d calculation of the effect of overlapping formation times on gluonic splittings such as g \u2192 gg \u2192 ggg (with simplifying assumptions such as an infinite QCD medium and the large-N c limit). In this paper, we extend those previous rate calculations from nearly-complete to complete by including processes involving the exchange of longitudinally-polarized gluons. In the context of Lightcone Pertubation Theory, used earlier for the \u201cnearly-complete\u201d calculation, such exchanges are instantaneous in lightcone time and have their own diagrammatic representation." } ], "imprints": [ { "date": "2022-11-23", "publisher": "Springer" } ] }