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Volumn 2009, Issue 4, 2009, Pages

Three loop MS̄ operator correlation functions for deep inelastic scattering in the chiral limit

Author keywords

Deep inelastic scattering; NLO computations; QCD; Renormalization group

Indexed keywords


EID: 67650228086     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/04/127     Document Type: Article
Times cited : (29)

References (43)
  • 1
    • 18044387555 scopus 로고
    • Asymptotically free gauge theories. 2
    • D.J. Gross and F.J. Wilczek, 1974 Asymptotically free gauge theories. 2, Phys. Rev. D 9 980
    • (1974) Phys. Rev. , vol.9 , pp. 980
    • Gross, D.J.1    Wilczek, F.J.2
  • 2
    • 0003138786 scopus 로고
    • Higher order effects in asymptotically free gauge theories: The anomalous dimensions of Wilson operators
    • E.G. Floratos, D.A. Ross and C.T. Sachrajda, 1977 Higher order effects in asymptotically free gauge theories: the anomalous dimensions of Wilson operators, Nucl. Phys. B 129 66
    • (1977) Nucl. Phys. , vol.129 , pp. 66
    • Floratos, E.G.1    Ross, D.A.2    Sachrajda, C.T.3
  • 4
    • 33744505609 scopus 로고
    • Higher order effects in asymptotically free gauge theories. 2. Flavor singlet Wilson operators and coefficient functions
    • E.G. Floratos, D.A. Ross and C.T. Sachrajda, 1979 Higher order effects in asymptotically free gauge theories. 2. Flavor singlet Wilson operators and coefficient functions, Nucl. Phys. B 152 493
    • (1979) Nucl. Phys. , vol.152 , pp. 493
    • Floratos, E.G.1    Ross, D.A.2    Sachrajda, C.T.3
  • 5
    • 2342553026 scopus 로고    scopus 로고
    • The three-loop splitting functions in QCD: The non-singlet case
    • S. Moch, J.A.M. Vermaseren and A. Vogt, 2004 The three-loop splitting functions in QCD: the non-singlet case, Nucl. Phys. B 688 101 [hep-ph/0403192]
    • (2004) Nucl. Phys. , vol.688 , pp. 101
    • Moch, S.1    Vermaseren, J.A.M.2    Vogt, A.3
  • 6
    • 3042555550 scopus 로고    scopus 로고
    • The three-loop splitting functions in QCD: The singlet case
    • A. Vogt, S. Moch and J.A.M. Vermaseren, 2004 The three-loop splitting functions in QCD: the singlet case, Nucl. Phys. B 691 129 [hep-ph/0404111]
    • (2004) Nucl. Phys. , vol.691 , pp. 129
    • Vogt, A.1    Moch, S.2    Vermaseren, J.A.M.3
  • 7
    • 5444225717 scopus 로고    scopus 로고
    • The QCD splitting functions at three loops: Methods and results
    • S. Moch, J.A.M. Vermaseren and A. Vogt, 2004 The QCD splitting functions at three loops: methods and results, Nucl. Phys. Proc. Suppl. 135 137 [hep-ph/0408075]
    • (2004) Nucl. Phys. Proc. Suppl. , vol.135 , pp. 137
    • Moch, S.1    Vermaseren, J.A.M.2    Vogt, A.3
  • 8
    • 12444252096 scopus 로고    scopus 로고
    • The longitudinal structure function at the third order
    • S. Moch, J.A.M. Vermaseren and A. Vogt, 2005 The longitudinal structure function at the third order, Phys. Lett. B 606 123 [hep-ph/0411112]
    • (2005) Phys. Lett. , vol.606 , pp. 123
    • Moch, S.1    Vermaseren, J.A.M.2    Vogt, A.3
  • 9
    • 0038286477 scopus 로고    scopus 로고
    • Calculation of moments of structure functions
    • M. Gockeler et al., 2003 Calculation of moments of structure functions, Nucl. Phys. Proc. Suppl. 119 32 [hep-lat/0209160]
    • (2003) Nucl. Phys. Proc. Suppl. , vol.119 , pp. 32
    • Gockeler, M.1
  • 10
    • 0033548808 scopus 로고    scopus 로고
    • Nonperturbative renormalisation of composite operators in lattice QCD
    • M. Gockeler et al., 1999 Nonperturbative renormalisation of composite operators in lattice QCD, Nucl. Phys. B 544 699 [hep-lat/9807044]
    • (1999) Nucl. Phys. , vol.544 , pp. 699
    • Gockeler, M.1
  • 11
    • 0041739191 scopus 로고    scopus 로고
    • Renormalisation and off-shell improvement in lattice perturbation theory
    • S. Capitani et al., 2001 Renormalisation and off-shell improvement in lattice perturbation theory, Nucl. Phys. B 593 183 [hep-lat/0007004]
    • (2001) Nucl. Phys. , vol.593 , pp. 183
    • Capitani, S.1
  • 12
    • 4043066664 scopus 로고    scopus 로고
    • Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator
    • C. Gattringer, M. Gockeler, P. Huber and C.B. Lang, 2004 Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator, Nucl. Phys. B 694 170 [hep-lat/0404006]
    • (2004) Nucl. Phys. , vol.694 , pp. 170
    • Gattringer, C.1    Gockeler, M.2    Huber, P.3    Lang, C.B.4
  • 13
    • 33644532892 scopus 로고    scopus 로고
    • A lattice determination of moments of unpolarised nucleon structure functions using improved Wilson fermions
    • QCDSF collaboration, M. Gockeler, R. Horsley, D. Pleiter, P.E.L. Rakow and G. Schierholz, 2005 A lattice determination of moments of unpolarised nucleon structure functions using improved Wilson fermions, Phys. Rev. D 71 114511 [hep-ph/0410187]
    • (2005) Phys. Rev. , vol.71 , pp. 114511
    • Collaboration, Q.1    Gockeler, M.2    Horsley, R.3    Pleiter, D.4    Rakow, P.E.L.5    Schierholz, G.6
  • 15
    • 10744231708 scopus 로고    scopus 로고
    • Nonperturbative renormalisation of composite operators with overlap quarks
    • CSSM Lattice collaboration
    • CSSM Lattice collaboration, J.B. Zhang, D.B. Leinweber, K.F. Liu and A.G. Williams, 2004 Nonperturbative renormalisation of composite operators with overlap quarks, Nucl. Phys. Proc. Suppl. 128 240 [hep-lat/0311030]
    • (2004) Nucl. Phys. Proc. Suppl. , vol.128 , pp. 240
    • Zhang, J.B.1    Leinweber, D.B.2    Liu, K.F.3    Williams, A.G.4
  • 16
    • 23044513558 scopus 로고    scopus 로고
    • Renormalization constants of quark operators for the non-perturbatively improved Wilson action
    • D. Becirevic et al., 2004 Renormalization constants of quark operators for the non-perturbatively improved Wilson action, J. High Energy Phys. JHEP08(2004)022 [hep-lat/0401033]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.8 , pp. 022
    • Becirevic, D.1
  • 17
    • 29844433075 scopus 로고    scopus 로고
    • Nonperturbative renormalization of composite operators with overlap fermions
    • J.B. Zhang et al., 2005 Nonperturbative renormalization of composite operators with overlap fermions, Phys. Rev. D 72 114509 [hep-lat/0507022]
    • (2005) Phys. Rev. , vol.72 , pp. 114509
    • Zhang, J.B.1
  • 19
    • 0002147808 scopus 로고
    • A general method for nonperturbative renormalization of lattice operators
    • G. Martinelli, C. Pittori, C.T. Sachrajda, M. Testa and A. Vladikas, 1995 A general method for nonperturbative renormalization of lattice operators, Nucl. Phys. B 445 81 [hep-lat/9411010]
    • (1995) Nucl. Phys. , vol.445 , pp. 81
    • Martinelli, G.1    Pittori, C.2    Sachrajda, C.T.3    Testa, M.4    Vladikas, A.5
  • 20
    • 0001228044 scopus 로고    scopus 로고
    • Quark mass renormalization in the and RI schemes up to the NNLO order
    • E. Franco and V. Lubicz, 1998 Quark mass renormalization in the and RI schemes up to the NNLO order, Nucl. Phys. B 531 641 [hep-ph/9803491]
    • (1998) Nucl. Phys. , vol.531 , pp. 641
    • Franco, E.1    Lubicz, V.2
  • 21
    • 0002877127 scopus 로고    scopus 로고
    • Renormalization and running of quark mass and field in the regularization invariant and schemes at three and four loops
    • K.G. Chetyrkin and A. Retey, 2000 Renormalization and running of quark mass and field in the regularization invariant and schemes at three and four loops, Nucl. Phys. B 583 3 [hep-ph/9910332]
    • (2000) Nucl. Phys. , vol.583 , pp. 3
    • Chetyrkin, K.G.1    Retey, A.2
  • 22
    • 0038353926 scopus 로고    scopus 로고
    • Three loop anomalous dimension of non-singlet quark currents in the RI′ scheme
    • ′ scheme, Nucl. Phys. B 662 247 [hep-ph/0304113]
    • (2003) Nucl. Phys. , vol.662 , pp. 247
    • Gracey, J.A.1
  • 23
    • 0042512469 scopus 로고    scopus 로고
    • Three loop anomalous dimension of the second moment of the transversity operator in the and RI′ schemes
    • ′ schemes, Nucl. Phys. B 667 242 [hep-ph/0306163]
    • (2003) Nucl. Phys. , vol.667 , pp. 242
    • Gracey, J.A.1
  • 24
    • 33846182311 scopus 로고    scopus 로고
    • Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the and RI′ schemes
    • ′ schemes, J. High Energy Phys. JHEP10(2006)040 [hep-ph/0609231]
    • (2006) J. High Energy Phys. , vol.2006 , Issue.10 , pp. 040
    • Gracey, J.A.1
  • 25
    • 0000096253 scopus 로고
    • The Schrödinger functional: A renormalizable probe for nonAbelian gauge theories
    • M. Lüscher, R. Narayanan, P. Weisz and U. Wolff, 1992 The Schrödinger functional: a renormalizable probe for nonAbelian gauge theories, Nucl. Phys. B 384 168 [hep-lat/9207009]
    • (1992) Nucl. Phys. , vol.384 , pp. 168
    • Lüscher, M.1    Narayanan, R.2    Weisz, P.3    Wolff, U.4
  • 26
    • 0038441805 scopus 로고    scopus 로고
    • Continuous external momenta in non-perturbative lattice simulations: A computation of renormalization factors
    • Zeuthen-Rome/ZeRo collaboration, M. Guagnelli et al., 2003 Continuous external momenta in non-perturbative lattice simulations: a computation of renormalization factors, Nucl. Phys. B 664 276 [hep-lat/0303012]
    • (2003) Nucl. Phys. , vol.664 , pp. 276
    • Collaboration, Z.1    Guagnelli, M.2
  • 28
    • 0041577544 scopus 로고    scopus 로고
    • Correlator of the quark scalar currents and Γtot(H hadrons) at O(αs3) in pQCD
    • 3) in pQCD, Phys. Lett. B 390 309 [hep-ph/9608318]
    • (1997) Phys. Lett. , vol.390 , pp. 309
    • Chetyrkin, K.G.1
  • 29
    • 0030529377 scopus 로고    scopus 로고
    • QCD corrections to the e+ e- cross-section and the Z boson decay rate: Concepts and results
    • - cross-section and the Z boson decay rate: concepts and results, Phys. Rept. 277 189
    • (1996) Phys. Rept. , vol.277 , pp. 189
    • Chetyrkin, K.G.1    Kuhn, J.H.2    Kwiatkowski, A.3
  • 30
    • 0000324431 scopus 로고
    • Production of dimuons from high-energy polarized proton proton collisions
    • J.P. Ralston and D.E. Soper, 1979 Production of dimuons from high-energy polarized proton proton collisions, Nucl. Phys. B 152 109
    • (1979) Nucl. Phys. , vol.152 , pp. 109
    • Ralston, J.P.1    Soper, D.E.2
  • 31
    • 9744230386 scopus 로고
    • Chiral odd parton distributions and polarized Drell-Yan
    • R.L. Jaffe and X.-D. Ji, 1991 Chiral odd parton distributions and polarized Drell-Yan, Phys. Rev. Lett. 67 552
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 552
    • Jaffe, R.L.1    Ji, X.-D.2
  • 32
    • 4243667296 scopus 로고
    • Chiral odd parton distributions and Drell-Yan processes
    • R.L. Jaffe and X.-D. Ji, 1992 Chiral odd parton distributions and Drell-Yan processes, Nucl. Phys. B 375 527
    • (1992) Nucl. Phys. , vol.375 , pp. 527
    • Jaffe, R.L.1    Ji, X.-D.2
  • 33
    • 0042409798 scopus 로고
    • Measuring the transverse polarization of quarks in the proton
    • J.L. Cortes, B. Pire and J.P. Ralston, 1992 Measuring the transverse polarization of quarks in the proton, Z. Phys. C 55 409
    • (1992) Z. Phys. , vol.55 , pp. 409
    • Cortes, J.L.1    Pire, B.2    Ralston, J.P.3
  • 34
    • 0000802940 scopus 로고
    • Mincer: Program for multiloop calculations in quantum field theory for the Schoonschip system
    • S.G. Gorishnii, S.A. Larin, L.R. Surguladze and F.V. Tkachov, 1989 Mincer: Program for multiloop calculations in quantum field theory for the Schoonschip system, Comput. Phys. Commun. 55 381
    • (1989) Comput. Phys. Commun. , vol.55 , pp. 381
    • Gorishnii, S.G.1    Larin, S.A.2    Surguladze, L.R.3    Tkachov, F.V.4
  • 37
    • 0000277955 scopus 로고
    • Automatic Feynman graph generation
    • P. Nogueira, 1993 Automatic Feynman graph generation, J. Comput. Phys. 105 279
    • (1993) J. Comput. Phys. , vol.105 , pp. 279
    • Nogueira, P.1
  • 38
    • 0000310610 scopus 로고
    • The three loop QCD β-function and anomalous dimensions
    • S.A. Larin and J.A.M. Vermaseren, 1993 The three loop QCD β-function and anomalous dimensions, Phys. Lett. B 303 334 [hep-ph/9302208]
    • (1993) Phys. Lett. , vol.303 , pp. 334
    • Larin, S.A.1    Vermaseren, J.A.M.2
  • 39
    • 0001827874 scopus 로고
    • The next next-to-leading QCD approximation for nonsinglet moments of deep inelastic structure functions
    • S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, 1994 The next next-to-leading QCD approximation for nonsinglet moments of deep inelastic structure functions, Nucl. Phys. B 427 41
    • (1994) Nucl. Phys. , vol.427 , pp. 41
    • Larin, S.A.1    Van Ritbergen, T.2    Vermaseren, J.A.M.3
  • 40
    • 0031565521 scopus 로고    scopus 로고
    • The 3-loop QCD calculation of the moments of deep inelastic structure functions
    • S.A. Larin, P. Nogueira, T. van Ritbergen and J.A.M. Vermaseren, 1997 The 3-loop QCD calculation of the moments of deep inelastic structure functions, Nucl. Phys. B 492 338 [hep-ph/9605317]
    • (1997) Nucl. Phys. , vol.492 , pp. 338
    • Larin, S.A.1    Nogueira, P.2    Van Ritbergen, T.3    Vermaseren, J.A.M.4
  • 41
    • 0000733955 scopus 로고
    • Matching QCD and HQET heavy-light currents at two loops and beyond
    • D.J. Broadhurst and A.G. Grozin, 1995 Matching QCD and HQET heavy-light currents at two loops and beyond, Phys. Rev. D 52 4082 [hep-ph/9410240]
    • (1995) Phys. Rev. , vol.52 , pp. 4082
    • Broadhurst, D.J.1    Grozin, A.G.2
  • 42
    • 0003232493 scopus 로고    scopus 로고
    • Four-loop Dyson-Schwinger-Johnson anatomy
    • D.J. Broadhurst, 1999 Four-loop Dyson-Schwinger-Johnson anatomy, Phys. Lett. B 466 319 [hep-ph/9909336]
    • (1999) Phys. Lett. , vol.466 , pp. 319
    • Broadhurst, D.J.1
  • 43
    • 0034739140 scopus 로고    scopus 로고
    • Three loop tensor current anomalous dimension in QCD
    • J.A. Gracey, 2000 Three loop tensor current anomalous dimension in QCD, Phys. Lett. B 488 175 [hep-ph/0007171]
    • (2000) Phys. Lett. , vol.488 , pp. 175
    • Gracey, J.A.1


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