Consider the in-medium splitting g → gg of a very high-energy gluon traversing a QCD medium, accounting for the Landau-Pomeranchuk-Migdal (LPM) effect. It has been known for some time that soft radiative corrections to that splitting generate a double-log correction to the splitting rate, whose effects can be absorbed into running of the medium parameter $$ \hat{q} $$ describing the rate of transverse momentum kicks to high-energy particles due to small-angle scattering from the medium. Less has been known about sub-leading, single logarithms in this context. In this paper, we find analytic formulas for those single logs (with various caveats and clarifications).
{ "_oai": { "updated": "2023-03-10T21:33:17Z", "id": "oai:repo.scoap3.org:69208", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "USA", "value": "Department of Physics, University of Virginia, P.O. Box 400714, Charlottesville, VA, 22904, USA", "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, D-64289, Germany", "organization": "Technische Universit\u00e4t Darmstadt, Department of Physics" }, { "country": "Germany", "value": "Helmholtz Research Academy for FAIR, Darmstadt, D-64289, Germany", "organization": "Helmholtz Research Academy for FAIR" } ], "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, Islamabad, Pakistan", "organization": "Quaid-i-Azam University" }, { "country": "China", "value": "Institute of Particle Physics, Central China Normal University, Wuhan, 430079, China", "organization": "Central China Normal University" } ], "surname": "Iqbal", "email": "smi6nd@virginia.edu", "full_name": "Iqbal, Shahin", "given_names": "Shahin" } ], "titles": [ { "source": "Springer", "title": "The LPM effect in sequential bremsstrahlung: analytic results for sub-leading (single) logarithms" } ], "dois": [ { "value": "10.1007/JHEP04(2022)085" } ], "publication_info": [ { "page_end": "54", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2022", "artid": "JHEP04(2022)085", "year": 2022, "page_start": "1", "journal_issue": "4" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-03-10T21:31:33.268369", "source": "Springer", "method": "Springer", "submission_number": "b6222fd2bf8a11eda920065bd8dc6b20" }, "page_nr": [ 54 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2022" } ], "control_number": "69208", "record_creation_date": "2022-04-15T06:30:31.822592", "_files": [ { "checksum": "md5:48b8329a1fd07c083fca11fee7a714fe", "filetype": "xml", "bucket": "20e738da-fb45-49ee-9255-9cf5eaa1ccfe", "version_id": "dd33b3e6-9fa0-4806-8ce2-72efbaf4498d", "key": "10.1007/JHEP04(2022)085.xml", "size": 13681 }, { "checksum": "md5:b3741aa4384f239d37d4666ce219c095", "filetype": "pdf/a", "bucket": "20e738da-fb45-49ee-9255-9cf5eaa1ccfe", "version_id": "9462906b-dc56-4d90-afff-9fb7685c576f", "key": "10.1007/JHEP04(2022)085_a.pdf", "size": 1013631 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "nucl-th" ], "value": "2112.05161" } ], "abstracts": [ { "source": "Springer", "value": "Consider the in-medium splitting g \u2192 gg of a very high-energy gluon traversing a QCD medium, accounting for the Landau-Pomeranchuk-Migdal (LPM) effect. It has been known for some time that soft radiative corrections to that splitting generate a double-log correction to the splitting rate, whose effects can be absorbed into running of the medium parameter <math> <mover> <mi>q</mi> <mo>\u0302</mo> </mover> </math> $$ \\hat{q} $$ describing the rate of transverse momentum kicks to high-energy particles due to small-angle scattering from the medium. Less has been known about sub-leading, single logarithms in this context. In this paper, we find analytic formulas for those single logs (with various caveats and clarifications)." } ], "imprints": [ { "date": "2022-04-14", "publisher": "Springer" } ] }