Unconventional Mechanisms of Heavy Quark Fragmentation

Heavy and light quarks produced in high-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>p</mi><mi>T</mi></msub></semantics></math></inline-formula> parto...

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Main Authors: Boris Kopeliovich, Jan Nemchik, Irina Potashnikova, Ivan Schmidt
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/9/9/418
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author Boris Kopeliovich
Jan Nemchik
Irina Potashnikova
Ivan Schmidt
author_facet Boris Kopeliovich
Jan Nemchik
Irina Potashnikova
Ivan Schmidt
author_sort Boris Kopeliovich
collection DOAJ
description Heavy and light quarks produced in high-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>p</mi><mi>T</mi></msub></semantics></math></inline-formula> partonic collisions radiate differently. Heavy quarks regenerate their color field, stripped-off in the hard reaction, much faster than the light ones and radiate a significantly smaller fraction of the initial quark energy. This peculiar feature of heavy-quark jets leads to a specific shape of the fragmentation functions observed in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup></mrow></semantics></math></inline-formula> annihilation. Differently from light flavors, the heavy quark fragmentation function strongly peaks at large fractional momentum <i>z</i>, i.e., the produced heavy–light mesons, <i>B</i> or <i>D</i>, carry the main fraction of the jet momentum. This is a clear evidence of the dead-cone effect, and of a short production time of a heavy–light mesons. Contrary to propagation of a small <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>q</mi><mover accent="true"><mi>q</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula> dipole, which survives in the medium due to color transparency, a heavy–light <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mover accent="true"><mi>q</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula> dipole promptly expands to a large size. Such a big dipole has no chance to remain intact in a dense medium produced in relativistic heavy ion collisions. On the other hand, a breakup of such a dipole does not affect much the production rate of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mover accent="true"><mi>q</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula> mesons, differently from the case of light <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>q</mi><mover accent="true"><mi>q</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula> meson production.
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spelling doaj.art-6eb8ca556b5f47a197c3317aa2331e9d2023-11-19T13:17:43ZengMDPI AGUniverse2218-19972023-09-019941810.3390/universe9090418Unconventional Mechanisms of Heavy Quark FragmentationBoris Kopeliovich0Jan Nemchik1Irina Potashnikova2Ivan Schmidt3Departamento de Física, Universidad Técnica Federico Santa María, Avenida España 1680, Valparaíso 2390123, ChileFaculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 11519 Prague, Czech RepublicDepartamento de Física, Universidad Técnica Federico Santa María, Avenida España 1680, Valparaíso 2390123, ChileDepartamento de Física, Universidad Técnica Federico Santa María, Avenida España 1680, Valparaíso 2390123, ChileHeavy and light quarks produced in high-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>p</mi><mi>T</mi></msub></semantics></math></inline-formula> partonic collisions radiate differently. Heavy quarks regenerate their color field, stripped-off in the hard reaction, much faster than the light ones and radiate a significantly smaller fraction of the initial quark energy. This peculiar feature of heavy-quark jets leads to a specific shape of the fragmentation functions observed in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup></mrow></semantics></math></inline-formula> annihilation. Differently from light flavors, the heavy quark fragmentation function strongly peaks at large fractional momentum <i>z</i>, i.e., the produced heavy–light mesons, <i>B</i> or <i>D</i>, carry the main fraction of the jet momentum. This is a clear evidence of the dead-cone effect, and of a short production time of a heavy–light mesons. Contrary to propagation of a small <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>q</mi><mover accent="true"><mi>q</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula> dipole, which survives in the medium due to color transparency, a heavy–light <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mover accent="true"><mi>q</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula> dipole promptly expands to a large size. Such a big dipole has no chance to remain intact in a dense medium produced in relativistic heavy ion collisions. On the other hand, a breakup of such a dipole does not affect much the production rate of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mover accent="true"><mi>q</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula> mesons, differently from the case of light <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>q</mi><mover accent="true"><mi>q</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula> meson production.https://www.mdpi.com/2218-1997/9/9/418quarksjetsfragmentationhadronization
spellingShingle Boris Kopeliovich
Jan Nemchik
Irina Potashnikova
Ivan Schmidt
Unconventional Mechanisms of Heavy Quark Fragmentation
Universe
quarks
jets
fragmentation
hadronization
title Unconventional Mechanisms of Heavy Quark Fragmentation
title_full Unconventional Mechanisms of Heavy Quark Fragmentation
title_fullStr Unconventional Mechanisms of Heavy Quark Fragmentation
title_full_unstemmed Unconventional Mechanisms of Heavy Quark Fragmentation
title_short Unconventional Mechanisms of Heavy Quark Fragmentation
title_sort unconventional mechanisms of heavy quark fragmentation
topic quarks
jets
fragmentation
hadronization
url https://www.mdpi.com/2218-1997/9/9/418
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AT jannemchik unconventionalmechanismsofheavyquarkfragmentation
AT irinapotashnikova unconventionalmechanismsofheavyquarkfragmentation
AT ivanschmidt unconventionalmechanismsofheavyquarkfragmentation