{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T16:49:33Z","timestamp":1743094173254,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642157479"},{"type":"electronic","value":"9783642157486"}],"license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011]]},"DOI":"10.1007\/978-3-642-15748-6_2","type":"book-chapter","created":{"date-parts":[[2010,12,11]],"date-time":"2010-12-11T04:10:29Z","timestamp":1292040629000},"page":"19-28","source":"Crossref","is-referenced-by-count":0,"title":["Massive and Massless Four-Loop Integrals"],"prefix":"10.1007","author":[{"given":"J. H.","family":"K\u00fchn","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"Marquard","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Steinhauser","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Tentyukov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"2_CR1","unstructured":"FORM version 3.0 is described in: J.A.M. Vermaseren, \u201cNew features of FORM\u201d, arXiv:math-ph\/0010025; for recent developments, see also: M. Tentyukov and J.A.M. Vermaseren, \u201cExtension of the functionality of the symbolic program FORM by external software\u201d, arXiv:cs.sc\/0604052; FORM can be obtained from the distribution site at http:\/\/www.nikhef.nl\/~form."},{"key":"2_CR2","doi-asserted-by":"crossref","unstructured":"M.\u00a0Tentyukov, D.\u00a0Fliegner, M.\u00a0Frank, A.\u00a0Onischenko, A.\u00a0Retey, H.M.\u00a0Staudenmaier and J.A.M.\u00a0Vermaseren, \u201cParFORM: Parallel Version of the Symbolic Manipulation Program FORM\u201d, arXiv:cs.sc\/0407066; M.\u00a0Tentyukov, H.M.\u00a0Staudenmaier and J.A.M.\u00a0Vermaseren, \u201cParFORM: Recent development\u201d, Nucl. Instrum. Meth. A 559 (2006) 224. H.M.\u00a0Staudenmaier, M.\u00a0Steinhauser, M.\u00a0Tentyukov, J.A.M.\u00a0Vermaseren, \u201cParFORM\u201d, Computeralgebra Rundbriefe 39 (2006) 19. See also http:\/\/www-ttp.physik.uni-karlsruhe.de\/~parform.","DOI":"10.1016\/j.nima.2005.11.142"},{"key":"2_CR3","unstructured":"M. Tentyukov and J.A.M. Vermaseren, \u201cThe multithreaded version of FORM\u201d, arXiv:hep-ph\/0702279."},{"key":"2_CR4","doi-asserted-by":"publisher","first-page":"582","DOI":"10.1016\/j.cpc.2009.11.007","volume":"181","author":"J. Blumlein","year":"2010","unstructured":"J. Blumlein, D.J. Broadhurst and J.A.M. Vermaseren, The Multiple Zeta Value Data Mine, Comput. Phys. Commun. 181 (2010) 582 [arXiv:0907.2557 [math-ph]].","journal-title":"Comput. Phys. Commun."},{"key":"2_CR5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.101.012002","volume":"101","author":"P.A. Baikov","year":"2008","unstructured":"P.A. Baikov, K.G. Chetyrkin and J.H. K\u00fchn, Phys. Rev. Lett. 101 (2008) 012002 [arXiv:0801.1821 [hep-ph]].","journal-title":"Phys. Rev. Lett."},{"key":"2_CR6","doi-asserted-by":"publisher","first-page":"689","DOI":"10.1140\/epjc\/s10052-009-1173-1","volume":"64","author":"S. Bethke","year":"2009","unstructured":"S. Bethke, \u201cThe 2009 World Average of \u03b1\n                \n                  s\n                (M\n                \n                  Z\n                )\u201d, Eur. Phys. J. C 64 (2009) 689 [arXiv:0908.1135 [hep-ph]].","journal-title":"Eur. Phys. J. C"},{"key":"2_CR7","doi-asserted-by":"publisher","first-page":"1767","DOI":"10.1103\/PhysRev.163.1767","volume":"163","author":"J.D. Bjorken","year":"1967","unstructured":"J.D. Bjorken, \u201cInequality for Backward Electron-Nucleon and Muon-Nucleon Scattering at High Momentum Transfer\u201d, Phys. Rev. 163 (1967) 1767.","journal-title":"Phys. Rev."},{"key":"2_CR8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.78.071902","volume":"78","author":"R.S. Pasechnik","year":"2008","unstructured":"R.S. Pasechnik, D.V. Shirkov and O.V. Teryaev, Phys. Rev. D 78, 071902 (2008) [arXiv:0808.0066 [hep-ph]].","journal-title":"Phys. Rev. D"},{"key":"2_CR9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevC.75.035203","volume":"75","author":"P.E. Bosted","year":"2007","unstructured":"P.E. Bosted et al. [CLAS Collaboration], \u201cQuark-hadron duality in spin structure functions g1(p) and g1(d)\u201d, Phys. Rev. C 75, 035203 (2007) [arXiv:hep-ph\/0607283].","journal-title":"Phys. Rev. C"},{"key":"2_CR10","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.physletb.2008.12.063","volume":"672","author":"Y. Prok","year":"2009","unstructured":"Y. Prok et al. [CLAS Collaboration], \u201cMoments of the Spin Structure Functions \n$g_{1}^{p}$ \nand \n$g_{1}^{d}$ \nfor 0.05<Q\n                2<3.0 GeV2\u201d, Phys. Lett. B 672, 12 (2009) [arXiv:0802.2232 [nucl-ex]].","journal-title":"Phys. Lett. B"},{"key":"2_CR11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.78.032001","volume":"78","author":"A. Deur","year":"2008","unstructured":"A. Deur et al., \u201cExperimental study of isovector spin sum rules\u201d, Phys. Rev. D 78, 032001 (2008) [arXiv:0802.3198 [nucl-ex]].","journal-title":"Phys. Rev. D"},{"key":"2_CR12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.93.212001","volume":"93","author":"A. Deur","year":"2004","unstructured":"A. Deur et al., \u201cExperimental determination of the evolution of the Bjorken integral at low Q\n                2\u201d, Phys. Rev. Lett. 93, 212001 (2004) [arXiv:hep-ex\/0407007].","journal-title":"Phys. Rev. Lett."},{"key":"2_CR13","doi-asserted-by":"publisher","first-page":"244","DOI":"10.1016\/j.physletb.2007.05.015","volume":"650","author":"A. Deur","year":"2007","unstructured":"A. Deur, V. Burkert, J.P. Chen and W. Korsch, \u201cExperimental determination of the effective strong coupling constant\u201d, Phys. Lett. B 650, 244 (2007) [arXiv:hep-ph\/0509113].","journal-title":"Phys. Lett. B"},{"key":"2_CR14","doi-asserted-by":"publisher","first-page":"1421","DOI":"10.1103\/PhysRevLett.28.1421","volume":"28","author":"R.J. Crewther","year":"1972","unstructured":"R.J. Crewther, \u201cNonperturbative evaluation of the anomalies in low-energy theorems\u201d, Phys. Rev. Lett. 28 (1972) 1421.","journal-title":"Phys. Rev. Lett."},{"key":"2_CR15","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1016\/0370-2693(93)90177-J","volume":"315","author":"D.J. Broadhurst","year":"1993","unstructured":"D.J. Broadhurst and A.L. Kataev, \u201cConnections between deep inelastic and annihilation processes at next to next-to-leading order and beyond\u201d, Phys. Lett. B 315 (1993) 179 [arXiv:hep-ph\/9308274].","journal-title":"Phys. Lett. B"},{"key":"2_CR16","doi-asserted-by":"publisher","first-page":"3714","DOI":"10.1103\/PhysRevD.10.3714","volume":"10","author":"S.L. Adler","year":"1974","unstructured":"S.L. Adler and \u201cSome Simple, Vacuum Polarization Phenomenology: e\n                ++e\n                \u2212\u2192 Hadrons: The Mu-Mesic Atom X-Ray Discrepancy and (g\u22122) of the Muon\u201d, Phys. Rev. D 10 (1974) 3714.","journal-title":"Phys. Rev. D"},{"key":"2_CR17","unstructured":"P.A. Baikov, K.G. Chetyrkin and J.H. K\u00fchn, \u201cAdler Function, Bjorken Sum Rule, and the Crewther Relation to Order \n$\\alpha_{s}^{4}$ \nin a General Gauge Theory\u201d, accepted for publication in Phys. Rev. Lett., arXiv:1001.3606 [hep-ph]."},{"key":"2_CR18","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1016\/j.nuclphysbps.2009.03.010","volume":"189","author":"P.A. Baikov","year":"2009","unstructured":"P.A. Baikov, K.G. Chetyrkin and J.H. K\u00fchn, \u201cR(s) and Hadronic Tau-Decays in Order \n$\\alpha_{s}^{4}$\n: Technical Aspects\u201d, Proceedings of the 10th International Workshop on Tau Lepton Physics (TAU08), 22-25 Sep 2008, Novosibirsk, Russia, Nucl. Phys. Proc. Suppl. 189, 49 (2009).","journal-title":"Nucl. Phys. Proc. Suppl."},{"key":"2_CR19","doi-asserted-by":"publisher","first-page":"88","DOI":"10.1016\/j.physletb.2008.09.041","volume":"669","author":"A. Maier","year":"2008","unstructured":"A. Maier, P. Maierhofer and P. Marqaurd, Phys. Lett. B 669 (2008) 88.","journal-title":"Phys. Lett. B"},{"key":"2_CR20","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.nuclphysb.2009.08.011","volume":"824","author":"A. Maier","year":"2010","unstructured":"A. Maier, P. Maierhofer, P. Marquard and A.V. Smirnov, Nucl. Phys. B 824 (2010) 1.","journal-title":"Nucl. Phys. B"},{"key":"2_CR21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.80.074010","volume":"80","author":"K.G. Chetyrkin","year":"2009","unstructured":"K.G. Chetyrkin, J.H. K\u00fchn, A. Maier, P. Maierhofer, P. Marquard, M. Steinhauser and C. Sturm, Phys. Rev. D 80 (2009) 074010.","journal-title":"Phys. Rev. D"},{"key":"2_CR22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.78.054513","volume":"78","author":"I. Allison","year":"2008","unstructured":"I. Allison et al. [HPQCD Collaboration], Phys. Rev. D 78 (2008) 054513.","journal-title":"Phys. Rev. D"},{"key":"2_CR23","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1016\/j.nuclphysb.2009.08.010","volume":"823","author":"Y. Kiyo","year":"2009","unstructured":"Y. Kiyo, A. Maier, P. Maierhofer and P. Marquard, Nucl. Phys. B 823 (2009) 269.","journal-title":"Nucl. Phys. B"}],"container-title":["High Performance Computing in Science and Engineering '10"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-15748-6_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,2]],"date-time":"2024-05-02T03:42:45Z","timestamp":1714621365000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-642-15748-6_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642157479","9783642157486"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-15748-6_2","relation":{},"subject":[],"published":{"date-parts":[[2011]]}}}