TY - JOUR
T1 - Multiplicity distribution and entropy of produced gluons in deep inelastic scattering at high energies
AU - Levin, Eugene
N1 - Publisher Copyright:
© The Author(s) 2024.
PY - 2024/7
Y1 - 2024/7
N2 - In this paper we found the multiplicity distribution of the produced gluons in deep inelastic scattering at large z=lnQs2/Q2≫1 where Qs is the saturation momentum and Q2 is the photon virtuality. It turns out that this distribution at large n>n¯ almost reproduces the KNO scaling behaviour with the average number of gluons n¯∝expz2/2κ, where κ=4.88 in the leading order of perturbative QCD. The KNO function Ψnn¯=exp-n/n¯. For nn∝(z-2κln(n-1))/(n-1). Such small n determine the value of entropy of produced gluons SE=0.3z2/(2κ) at large z. The factor 0.3 stems from the non-perturbative corrections that provide the correct behaviour of the saturation momentum at large b.
AB - In this paper we found the multiplicity distribution of the produced gluons in deep inelastic scattering at large z=lnQs2/Q2≫1 where Qs is the saturation momentum and Q2 is the photon virtuality. It turns out that this distribution at large n>n¯ almost reproduces the KNO scaling behaviour with the average number of gluons n¯∝expz2/2κ, where κ=4.88 in the leading order of perturbative QCD. The KNO function Ψnn¯=exp-n/n¯. For nn∝(z-2κln(n-1))/(n-1). Such small n determine the value of entropy of produced gluons SE=0.3z2/(2κ) at large z. The factor 0.3 stems from the non-perturbative corrections that provide the correct behaviour of the saturation momentum at large b.
UR - http://www.scopus.com/inward/record.url?scp=85197727693&partnerID=8YFLogxK
U2 - 10.1140/epjc/s10052-024-13008-w
DO - 10.1140/epjc/s10052-024-13008-w
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AN - SCOPUS:85197727693
SN - 1434-6044
VL - 84
JO - European Physical Journal C
JF - European Physical Journal C
IS - 7
M1 - 662
ER -