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

Abstract
HTML
Reference
Related

PDF

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]

[1]	WANG Meng-Liang , ZHOU Dai-Cui . Medium modified fragmentation function: equivalence of the ACSX and QW formalisms in the high-Q² region. Chinese Physics C, 2011, 35(10): 935-939. doi: 10.1088/1674-1137/35/10/009
[2]	LU Zhun . Comparing AdS/CFT dipole model to HERA F₂ data. Chinese Physics C, 2010, 34(9): 1421-1424. doi: 10.1088/1674-1137/34/9/060
[3]	Atashbar Tehrani . Nucleon/nuclei polarized structure function, using Jacobi polynomials expansion. Chinese Physics C, 2010, 34(9): 1534-1537. doi: 10.1088/1674-1137/34/9/093
[4]	GAO Yong-Hua , HE Ming-Zhong , DUAN Chun-Gui . Q²-Rescaling Parameters’Empiric Formula of the Double Q²-Rescaling Model. Chinese Physics C, 2001, 25(6): 533-537.
[5]	Yao Xueyi , Chen Guoming , Chen Gang , Chen Hesheng , Tang Xiaowei . Measurement of Structure Function of τ→π^±2π⁰v. Chinese Physics C, 1999, 23(1): 10-16.
[6]	Ma Weixing , Li Xiguo , Lu Dinghui . Q²-Dependence of the Gerasimov-Drell-Hearn Sum Rule. Chinese Physics C, 1999, 23(9): 880-889.
[7]	Dong Yubing . On Q-Dependent Behavior of the Polarized Structure Functions in the Resonance Region. Chinese Physics C, 1998, 22(6): 550-555.
[8]	Yao Xiaoxia , He Zhenmin , Duan Chungui , Li Guanglie , Peng Hongan . Improved Q²-Rescaling Model and the Nuclear Effect of Parton Distribution Functions. Chinese Physics C, 1997, 21(6): 548-553.
[9]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[10]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.
[11]	BES Collaboration . Experimental Study of f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1992, 16(S4): 385-393.
[12]	YU Hong , SHEN Qi-Xing . Study of the Polarization of J/ψ→ωf₂(1270) Decay Process. Chinese Physics C, 1992, 16(9): 861-864.
[13]	Yu Hong , Shen Qixing . A Study on the Polarization Structure of J/ψ →ωf₂(1270) Decay Process. Chinese Physics C, 1992, 16(S3): 277-280.
[14]	YU Hong , SHEN Qi-Xing , WANG Xu . d WAVE COMPONENTS OF THE GLUEBALL CANDIDATE θ/f₂(1720) AND POSSIBLE EXPERIMENTAL TEST. Chinese Physics C, 1989, 13(11): 996-1002.
[15]	Chen Tianlun . β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice. Chinese Physics C, 1989, 13(S4): 393-398.
[16]	LI Guang-Lie , LIU Ke-Fei . Q²-AND x- RESCALING AND NUCLEAR MOMENTUM CONSERVATION IN THE EMC EFFECT. Chinese Physics C, 1989, 13(7): 620-626.
[17]	Li Guanglie , K F. Liu . Q² and x-Rescaling Meehanisms and the Nuclear Momentum Conservation in the EMC Effect. Chinese Physics C, 1989, 13(S3): 263-272.
[18]	SHEN Qi-Xing , WU Ji-Min , LU Jing-Xian , ZHAO Pei-Ying . THE BEHAVIOURS OF F₂^ep(X, Q²)-F₂^en(X, Q²) AND THE SCALE-BREAKING PARAMETER. Chinese Physics C, 1983, 7(3): 301-308.
[19]	SHEN Qi-Xing , WU Ji-Min , LU Jing-Xian , ZHAO Pei-Ying . THE QCD BEHAVIOURS OF THE XF₃ (X, Q²) UP TO THE LEADING LOG IN THE NEUTRINO DEEPINELASTIC PROCESSES. Chinese Physics C, 1983, 7(3): 309-315.
[20]	HUANG CHAO-SHANG . THE LARGE MOMENTUM BEHAVIOR OF THE ELECTROMAGNETIC TRANSITION FORM FACTOR F_A₁π(q²) IN QCD. Chinese Physics C, 1982, 6(2): 168-175.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-01-26
Revised: 1900-01-01

Article Metric

Article Views(2237)
PDF Downloads(373)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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).

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

Corresponding author: Ali N,

HTML

目录