Determination of the strong coupling constant using available experimental data

  • We determine the strong coupling constant αs up to 4-loop in perturbative QCD. Testing QCD requires the measurement of αs over ranges of energy scales. In this analysis, the value of αs is determined from the unpolarized structure functions data points by minimizing the χ2 function between the theory result and experimental data. Using perturbative QCD calculations from threshold corrections, we obtain αs(MZ2)=0.1139±0.0020 at N3LO which is in good agreement with the very recently results from the inclusive jet cross section in pp collisions at √s=1.96 TeV.

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  • [1] Altarelli G.arXiv:0907.1751[hep-ph][2] Khorramian A N,Khanpoar H,Tehrani S A.arXiv:0909.2665[hep-ph][3] James F.CERN Program Library,Long Writeup D506(MINUIT)[4] Bethke S.arXiv:0908.1135[hep-ph][5] Khorramian A N,Atashbar Tehrani S,Ghominejad M.Acta Phys.Polon.B,2007,38:3551[6] Khorramian A N,Tehrani S A.Phys.Rev.D,2008,78:074019[arXiv:0805.3063[hep-ph] ][7] Parisi G,Sourlas N.Nucl.Phys.,1979,B151:421; Barker I S,Langensiepen C B,Shaw G.Nucl.Phys.,1981,B186:61[8] Kataev A L,Kotikov A V,Parente G,Sidorov A V.Phys.Lett.B,1998,417:374[arXiv:hep-ph/9706534][9] Kataev A L,Parente G,Sidorov A V.arXiv:hep-ph/9809500[10] Kataev A L,Parente G,Sidorov A V.Nucl.Phys.B,2000,573:405[arXiv:hep-ph/9905310][11] Kataev A L,Parente G,Sidorov A V.Phys.Part.Nucl.,2003,34:20[axXiv:hep-ph/0106221]; Kataev A L,Parente G,Sidorov A V.Nucl.Phys.Proc.Suppl.,2003,116:105[arXiv:hep-ph/0211151][12] Khorramian A N,Tehrani S A,Mirjalili A.Nucl.Phys.Proc.Suppl.,2007,174:27[13] Atashbar Tehrani S,Khorramian A N.Nucl.Phys.Proc.Suppl.,2009,186:58[14] Khorramian A N,Tehrani S A.J.Phys.Conf.Ser.,2008,110:022022[15] Khorramian A N,Tehrani S A.AIP Conf.Proc.,2008,1006:118[16] Atashbar Tehrani S,Khorramian A N.JHEP,2007,0707:048[arXiv:0705.2647[hep-ph] ][17] Leader E,Sidorov A V,Stamenov D B.Int.J.Mod.Phys.A,1998,13:5573[arXiv:hep-ph/9708335][18] Khorramian A N,Atashbar Tehrani S.arXiv:0712.2373[hep-ph][19] Khorramian A N,Atashbar Tehrani S.AlP Conf.Proc.,2007,915:420[20] Khorramian A N,Atashbar Tehrani S.AIP Conf.Proc.,2007,915:502[21] Benvenuti A C et al(BCDMS collaboration).Phys.Lett.B,1990,237:592; Benvenuti A C et al(BCDMS collaboration).Phys.Lett.B,1989,223:485; Phys.Lett.B,1990,237:592; Benvenuti A C et al(BCDMS collaboration).Phys.Lett.B,1990,237:599[22] Whitlow L W,Riordan E M,Dasu S,Rock S,Bodek A.Phys.Lett.B,1992,282:475[23] Arneodo M et al(New Muon collaboration).Nucl.Phys.B,1997,483:3[arXiv:hep-ph/9610231][24] Adloff C et al(H1 collaboration).Eur.Phys.J.C,2001,21:33[arXiv:hep-ex/0012053]; Adloff C et al(H1 collaboration).Eur.Phys.J.C,2003,30:1[arXiv:hep-ex/0304003][25] Breitweg J et al(ZEUS collaboration).Eur.Phys.J.C,1999,7:609[arXiv:hep-ex/9809005]; Chekanov S et al(ZEUS collaboration).Eur.Phys.J.C,2001,21:443 Jar Xiv:hep-ex/0105090][26] Chetyrkin K G,Kniehl B A,Steinhauser M.Phys.Rev.Lett.,1997,79:2184[arXiv:hep-ph/9706430]; Bethke S.J.Phys.G,2000,26:R27[arXiv:hep-ex/0004021]; Bernreuther W,Wetzel W.Nucl.Phys.B,1982,197:228[Erratum-ibid.B,1998,513:758][27] Blumlein J,Bottcher H,Guffanti A.Nucl.Phys.B,2007,774:182[arXiv:hep-ph/0607200][28] Bethke S.Prog.Part.Nucl.Phys.,2007,58:351[arXiv:hep-ex/0606035]
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Atashbar Tehrani. Determination of the strong coupling constant using available experimental data[J]. Chinese Physics C, 2010, 34(9): 1485-1487. doi: 10.1088/1674-1137/34/9/079
Atashbar Tehrani. Determination of the strong coupling constant using available experimental data[J]. Chinese Physics C, 2010, 34(9): 1485-1487.  doi: 10.1088/1674-1137/34/9/079 shu
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Received: 2010-02-08
Revised: 1900-01-01
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Determination of the strong coupling constant using available experimental data

    Corresponding author: Atashbar Tehrani,

Abstract: 

We determine the strong coupling constant αs up to 4-loop in perturbative QCD. Testing QCD requires the measurement of αs over ranges of energy scales. In this analysis, the value of αs is determined from the unpolarized structure functions data points by minimizing the χ2 function between the theory result and experimental data. Using perturbative QCD calculations from threshold corrections, we obtain αs(MZ2)=0.1139±0.0020 at N3LO which is in good agreement with the very recently results from the inclusive jet cross section in pp collisions at √s=1.96 TeV.

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