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Volumn , Issue 1, 2006, Pages 1-19

Applying Gröbner bases to solve reduction problems for Feynman integrals

Author keywords

NLO Computations; QCD

Indexed keywords


EID: 33645509279     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1134/S1063773706010014     Document Type: Article
Times cited : (47)

References (24)
  • 1
    • 33745041661 scopus 로고
    • Regularization and renormalization of gauge fields
    • G. 't Hooft and M.J.G. Veltman, Regularization and renormalization of gauge fields 1972 Nucl. Phys. B 44 189
    • (1972) Nucl. Phys. , vol.44 , Issue.1 , pp. 189
    • 'T Hooft, G.1    Veltman, M.J.G.2
  • 2
    • 0002672599 scopus 로고
    • Dimensional renormalization: The number of dimensions as a regularizing parameter
    • C.G. Bollini and J.J. Giambiagi, Dimensional renormalization: the number of dimensions as a regularizing parameter 1972 Nuovo Cim. B 12 20
    • (1972) Nuovo Cim. , vol.12 , pp. 20
    • Bollini, C.G.1    Giambiagi, J.J.2
  • 3
    • 0000312317 scopus 로고
    • Integration by parts: The algorithm to calculate beta functions in 4 loops
    • K.G. Chetyrkin and F.V. Tkachov, Integration by parts: the algorithm to calculate beta functions in 4 loops 1981 Nucl. Phys. B 192 159
    • (1981) Nucl. Phys. , vol.192 , Issue.1 , pp. 159
    • Chetyrkin, K.G.1    Tkachov, F.V.2
  • 4
    • 0034736523 scopus 로고    scopus 로고
    • High-precision calculation of multi-loop Feynman integrals by difference equations
    • S. Laporta, High-precision calculation of multi-loop Feynman integrals by difference equations 2000 Int. J. Mod. Phys. A 15 5087 [hep-ph/0102033]
    • (2000) Int. J. Mod. Phys. , vol.15 , Issue.32 , pp. 5087
    • Laporta, S.1
  • 5
    • 0035821473 scopus 로고    scopus 로고
    • Two-loop master integrals for γ*→ 3jets: The planar topologies
    • T. Gehrmann and E. Remiddi, Two-loop master integrals for γ*→ 3jets: the planar topologies 2001 Nucl. Phys. B 601 248 [hep-ph/0008287]
    • (2001) Nucl. Phys. , vol.601 , Issue.1-2 , pp. 248
    • Gehrmann, T.1    Remiddi, E.2
  • 6
    • 0035821478 scopus 로고    scopus 로고
    • Two-loop master integrals for γ*→ 3jets: The non-planar topologies
    • T. Gehrmann and E. Remiddi, Two-loop master integrals for γ*→ 3jets: the non-planar topologies 2001 Nucl. Phys. B 601 287 [hep-ph/0101124]
    • (2001) Nucl. Phys. , vol.601 , Issue.1-2 , pp. 287
    • Gehrmann, T.1    Remiddi, E.2
  • 7
    • 23044512961 scopus 로고    scopus 로고
    • Automatic integral reduction for higher order perturbative calculations
    • C. Anastasiou and A. Lazopoulos, Automatic integral reduction for higher order perturbative calculations 2004 J. High Energy Phys. JHEP07(2004)046 [hep-ph/0404258]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.7 , pp. 046
    • Anastasiou, C.1    Lazopoulos, A.2
  • 8
    • 0030602135 scopus 로고    scopus 로고
    • A new approach to the momentum expansion of multiloop Feynman diagrams
    • O.V. Tarasov, A new approach to the momentum expansion of multiloop Feynman diagrams 1996 Nucl. Phys. B 480 397 [hep-ph/9606238]
    • (1996) Nucl. Phys. , vol.480 , Issue.1-2 , pp. 397
    • Tarasov, O.V.1
  • 9
    • 0000248819 scopus 로고    scopus 로고
    • Connection between feynman integrals having different values of the space-time dimension
    • O.V. Tarasov, Connection between feynman integrals having different values of the space-time dimension 1996 Phys. Rev. D 54 6479 [hep-th/9606018]
    • (1996) Phys. Rev. , vol.54 , Issue.10 , pp. 6479
    • Tarasov, O.V.1
  • 10
    • 0042595373 scopus 로고    scopus 로고
    • Explicit solutions of the 3-loop vacuum integral recurrence relations
    • P.A. Baikov, Explicit solutions of the 3-loop vacuum integral recurrence relations 1996 Phys. Lett. B 385 404 [hep-ph/9603267]
    • (1996) Phys. Lett. , vol.385 , Issue.1-4 , pp. 404
    • Baikov, P.A.1
  • 11
    • 0031118117 scopus 로고    scopus 로고
    • Explicit solutions of the multi-loop integral recurrence relations and its application
    • P.A. Baikov, Explicit solutions of the multi-loop integral recurrence relations and its application 1997 Nucl. Instrum. Meth. A 389 347 [hep-ph/9611449]
    • (1997) Nucl. Instrum. Meth. , vol.389 , Issue.1-2 , pp. 347
    • Baikov, P.A.1
  • 12
    • 0142169874 scopus 로고    scopus 로고
    • Solving recurrence relations for multi-loop Feynman integrals
    • V.A. Smirnov and M. Steinhauser, Solving recurrence relations for multi-loop Feynman integrals 2003 Nucl. Phys. B 672 199 [hep-ph/0307088]
    • (2003) Nucl. Phys. , vol.672 , pp. 199
    • Smirnov, V.A.1    Steinhauser, M.2
  • 14
    • 0001108786 scopus 로고    scopus 로고
    • Reduction of feynman graph amplitudes to a minimal set of basic integrals
    • O.V. Tarasov, Reduction of feynman graph amplitudes to a minimal set of basic integrals 1998 Acta Phys. Polon. B 29 2655 [hep-ph/9812250]
    • (1998) Acta Phys. Polon. , vol.29 , Issue.10 , pp. 2655
    • Tarasov, O.V.1
  • 15
    • 8344283567 scopus 로고    scopus 로고
    • Computation of groebner bases for two-loop propagator type integrals
    • O.V. Tarasov, Computation of groebner bases for two-loop propagator type integrals 2004 Nucl. Instrum. Meth. A 534 293 [hep-ph/0403253]
    • (2004) Nucl. Instrum. Meth. , vol.534 , Issue.1-2 , pp. 293
    • Tarasov, O.V.1
  • 16
    • 5444249894 scopus 로고    scopus 로고
    • Groebner bases in perturbative calculations
    • V.P. Gerdt, Groebner bases in perturbative calculations 2004 Nucl. Phys. (Proc. Suppl.) 135 232 [hep-ph/0501053]
    • (2004) Nucl. Phys. (Proc. Suppl.) , vol.135 , pp. 232
    • Gerdt, V.P.1
  • 19
    • 0000604449 scopus 로고    scopus 로고
    • The static quark-antiquark potential in QCD to three loops
    • M. Peter, The static quark-antiquark potential in QCD to three loops 1997 Phys. Rev. Lett. 78 602 [hep-ph/9610209]
    • (1997) Phys. Rev. Lett. , vol.78 , Issue.4 , pp. 602
    • Peter, M.1
  • 20
    • 0031571958 scopus 로고    scopus 로고
    • The static potential in QCD: A full two-loop calculation
    • M. Peter, The static potential in QCD: a full two-loop calculation 1997 Nucl. Phys. B 501 471 [hep-ph/9702245]
    • (1997) Nucl. Phys. , vol.501 , Issue.2 , pp. 471
    • Peter, M.1
  • 21
    • 0034196351 scopus 로고    scopus 로고
    • The two-loop static potential
    • Y. Schroder, The two-loop static potential 2000 Nucl. Phys. (Proc. Suppl.) 86 525 [hep-ph/9909520]
    • (2000) Nucl. Phys. (Proc. Suppl.) , vol.86 , Issue.1-3 , pp. 525
    • Schroder, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.