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Chinese Physics C> 2003, Vol. 27> Issue(2) : 95-98 

A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e+e－ Collisions

  •  Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China

  • The anomalous scaling property inside jets produced in e+e－ Collisions at s91.2GeV is studied using Monte Carlo method. A new variable r is applied, which has very good anomalous scaling property. The relation between the scaling indices of different orders is investigated. The Lévy index for the hadronic system inside jets is obtained, which turns out to be μ=2.498±0.025, very close to the same index of hadron-hadron collisions. On the contrary, the Lévy index of e+e－ collisions is 1.701±0.043, being less than 2. Since the multi-hadron production in e+e－ collisions is dominated by hard gluon emission or hard parton branching, while the parton fragmentation into jet, like the multi-production in hadron-hadron collisions, is a soft process, the above results suggest that the value of Lévy index may provide another signal for the qualitative difference between hard and soft processes.
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    [1] 　Hanson G et al.Phys.Rev.Lett.,1975,35:1609 2.　Brandelik R et al(TASSO Coll.).Phys.Lett.,1979,B86:243;Barber D P (Mark J Coll.).Phys.Rev.Lett.,1979,43:830;Berger Ch et al(PLUTO Coll.).Phys.Lett.1979,B86:418;Bartel W et al(JADE Coll.).Phys.Lett.,1980,B91:1423.　LIU LianShou,CHEN Gang,FU JingHua.Phys.Rev.,2001.D63:054002 4.　ZHANG KunShi,YIN JianWu,CHEN Gang et al.HEP NP ,2002,26(2):158(in Chinese);(张昆实,尹建武,陈刚等.高能物理与核物理,2002,26(2):158)ZHANG KunShi,CHEN Gang,YU MeiLing et al.A Monte Carlo Study on the Dynamical Fluctuations in side Quark and Antiquark Jets,HEP ph/02030985.　LIU LianShou.Phase Space Partition in High Energy Collisions,HEP-PH/0204003 6.　Sjstrand,Comp.Phys.Comm.,1992,67:465 7.　Dokshitzer Yu L .JPhys.1991,G17:1537 8.　LIN XiaoYan,LIU LianShou.HEP NP ,2003,27(1):7(in Chinese)(林晓燕,刘连寿.高能物理与核物理,2003,27(1):7) 9.　Dokshitzer Yu L ,Leder G D ,Moretti S et al.JHEP ,1997,08:00110.　Bjorken J D .Geometry of Multihadron Production,Proc. XXIV Intern.Symp.on Multiparticle Dynamics,Vietrisul Mare,1994,eds.A .Giovannini et al.Singapore:World Scientific,1995.579 11.　Seee.g.CHEN Gang,LIU LianShou.A Comparison of Different Methods in the Study of Dynamical Fluctuations in High Energy e+e－Collisions,HEP-PH /0203073(to Appearin Phys.Rev.D) and the Papers Cited Therein 12.　Ochs W .Z .Phys.1991,C50:339;Bial as A ,Gazdzichi M .Phys.Lett.1990,B252:483 13.　Bial as A ,Peschanski R .Nucl.Phys.1986,B273:703;1988,308:857 14.　WU YuanFang,LIU LianShou.Phys.Rev.Lett.,1993,70:319 15.　LeｖｙＰ.J. Math.Pures Appl.,1935,14:347;Braxa Ph et al.Phys.Lett.,1991,B253:315 16.　Agababyan N et al(NA22).Z .Phys.1993,C59:4017.　CHEN Gang,LIU LianShou.A Monte Carlo Study of the Levy Stability and Multifractal Spectrumin e+e－Collisions,HEP-PH /0204148 18.　LIU Feng,LIU FuMing,LIU LianShou.Phys.Rev.,1999,D59:114020

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XING Xiu-Wen, ZHONG Wei-Li and LIU Lian-Shou. A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e+e－ Collisions[J]. Chinese Physics C, 2003, 27(2): 95-98.
XING Xiu-Wen, ZHONG Wei-Li and LIU Lian-Shou. A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e+e－ Collisions[J]. Chinese Physics C, 2003, 27(2): 95-98. shu
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Received: 2002-04-25
Revised: 1900-01-01
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A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e+e－ Collisions

    Corresponding author: LIU Lian-Shou,
  • Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China
  • Received Date: 2002-04-25
  • Accepted Date: 1900-01-01
  • Available Online: 2003-02-05

Abstract: The anomalous scaling property inside jets produced in e+e－ Collisions at s91.2GeV is studied using Monte Carlo method. A new variable r is applied, which has very good anomalous scaling property. The relation between the scaling indices of different orders is investigated. The Lévy index for the hadronic system inside jets is obtained, which turns out to be μ=2.498±0.025, very close to the same index of hadron-hadron collisions. On the contrary, the Lévy index of e+e－ collisions is 1.701±0.043, being less than 2. Since the multi-hadron production in e+e－ collisions is dominated by hard gluon emission or hard parton branching, while the parton fragmentation into jet, like the multi-production in hadron-hadron collisions, is a soft process, the above results suggest that the value of Lévy index may provide another signal for the qualitative difference between hard and soft processes.

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