Jacobi polynomials and non-singlet structure function F2(x,Q2) up to N3LO

Ali N; Atashbar Tehrani

doi:10.1088/1674-1137/34/9/077

Chinese Physics C> 2010, Vol. 34> Issue(9) : 1479-1481 DOI: 10.1088/1674-1137/34/9/077

Jacobi polynomials and non-singlet structure function F₂(x,Q²) up to N³LO

Ali N ^, ,
Atashbar Tehrani

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Abstract：
In this paper we present the non-singlet QCD analysis to determine valence quark distribution up to four loop. We obtain the fractional difference between the 4-loop and the 1-, 2- and 3-loop presentations of xu_v(x,Q²) and xd_v(x,Q²).

References

[1]

Khorramian A N,Tehrani S A.Phys.Rev.D,2008,78:074019[arXiv:0805.3063[hep-ph]][2] Khorramian A N,Khanpour H,Tehrani S A.arXiv:0909.2665[hep-ph][3] Blumlein J,Bottcher H,Guffanti A.Nucl.Phys.B,2007,774:182[arXiv:hep-ph/0607200][4] Gluck M,Reya E,Schuck C.Nucl.Phys.B,2006,754:178[arXiv:hep-ph/0604116][5] Vermaseren J A M,Vogt A,Moch S.Nucl.Phys.B,2005,724:3[arXiv:hep-ph/0504242][6] Kataev A L,Kotikov A V,Parente G,Sidorov A V.Phys.Lett.B,1998,417:374[arXiv:hep-ph/9706534][7] Kataev A L,Paxente G,Sidorov A V.arXiv:hep-ph/9809500[8] Kataev A L,Parente G,Sidorov A V.Nucl.Phys.B,2000,573:405[arXiv:hep-ph/9905310][9] Kataev A L,Parente G,Sidorov A V.Phys.Part.Nucl.2003,34:20[arXiv:hep-ph/0106221] ; Kataev A L,Parcnte G,Sidorov A V.Nucl.Phys.Proc.Suppl.,2003,116:105[arXiv:hep-ph/0211151][10] Khorramian A N,Tehrani S A,Mirjalili A.Nucl.Phys.Proc.Suppl.,2007,174:27[11] Khanpour H,Khorramian A N,Atashbar Tehrani S,Mirjalili A.Acta Phys.Polon.B,2009,40:11 2971-2975[12] Atashbar Tehrani S,Khorramian A N.Nucl.Phys.Proc.Suppl.,2009,186:58[13] Khorramian A N,Tehrani S A.J.Phys.Conf.Ser.,2008,110:022022[14] Khorramian A N,Tehrani S A.AIP Conf.Proc.2008,1000:118[15] Khorramian A N,Atashbar Tehrani S,Ghominejad M.Acta Phys.Polon.B,2007,38:3551[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.AIP Conf.Proc.,2007,915:420[20] Khorramian A N,Atasbbar Tehrani S.AIP Conf.Proc.,2007,915:502[21] James F.CERN Program Library,Long Writeup D506(MINUIT)[22] Benvenuti A C et al(BCDMS collaboration).Phys.Lett.B,1990,237:592; Bcnvenuti 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[23] Whitlow L W,Riordan E M,Dasu S,Rock S,Bodek A.Phys.Lett.B,1992,282:[24] Arneodo M et al(New Muon collaboration).Nucl.Phys.B,1997,483:3[arXiv:hep-ph/9610231][25] 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][26] Brcitweg 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[arXiv:hep-ex/0105090]

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Ali N and Atashbar Tehrani. Jacobi polynomials and non-singlet structure function F₂(x,Q²) up to N³LO[J]. Chinese Physics C, 2010, 34(9): 1479-1481. doi: 10.1088/1674-1137/34/9/077

Ali N and Atashbar Tehrani. Jacobi polynomials and non-singlet structure function F₂(x,Q²) up to N³LO[J]. Chinese Physics C, 2010, 34(9): 1479-1481. doi: 10.1088/1674-1137/34/9/077 shu

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Received: 2010-01-26
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Jacobi polynomials and non-singlet structure function F₂(x,Q²) up to N³LO

Corresponding author: Ali N,

Received Date: 2010-01-26

Accepted Date: 1900-01-01

Available Online: 2010-09-05

Abstract:

In this paper we present the non-singlet QCD analysis to determine valence quark distribution up to four loop. We obtain the fractional difference between the 4-loop and the 1-, 2- and 3-loop presentations of xu_v(x,Q²) and xd_v(x,Q²).

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Jacobi polynomials and non-singlet structure function F₂(x,Q²) up to N³LO

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Jacobi polynomials and non-singlet structure function F₂(x,Q²) up to N³LO

Corresponding author: Ali N,

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