Abstract.
We present a detailed discussion of the collinear subtraction terms needed to establish a massive variable-flavor-number scheme for the one-particle inclusive production of heavy quarks in hadronic collisions. The subtraction terms are computed by convoluting appropriate partonic cross sections with perturbative parton distribution and fragmentation functions relying on the method of mass factorization. We find (with one minor exception) complete agreement with the subtraction terms obtained in a previous publication by comparing the zero-mass limit of a fixed-order calculation with the genuine massless results in the \({\overline{\mathrm{MS}}}\) scheme. This presentation will be useful for extending the massive variable-flavor-number scheme to other processes.
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References
P. Nason, S. Dawson, R.K. Ellis, Nucl. Phys. B 303, 607 (1988)
P. Nason, S. Dawson, R.K. Ellis, Nucl. Phys. B 327, 49 (1989); Erratum B 335, 260 (1990)
W. Beenakker, H. Kuijf, W.L. van Neerven, J. Smith, Phys. Rev. D 40, 54 (1989)
W. Beenakker, W.L. van Neerven, R. Meng, G.A. Schuler, J. Smith, Nucl. Phys. B 351, 507 (1991)
J. Amundson, C. Schmidt, W.-K. Tung, X. Wang, JHEP 10, 031 (2000) [hep-ph/0005221]
W.-K. Tung, S. Kretzer, C. Schmidt, J. Phys. G 28, 983 (2002) [hep-ph/0110247]
I. Schienbein, Proceedings of the Ringberg Workshop, New Trends in HERA Physics 2003, edited by G. Grindhammer, B.A. Kniehl, G. Kramer, W. Ochs (World Scientific, 2004), p. 197
B. Mele, P. Nason, Nucl. Phys. B 361, 626 (1991)
S. Kretzer, I. Schienbein, Phys. Rev. D 58, 094035 (1998) [hep-ph/9805233]
S. Kretzer, I. Schienbein, Phys. Rev. D 59, 054004 (1999) [hep-ph/9808375]
G. Kramer, H. Spiesberger, Eur. Phys. J. C 22, 289 (2001) [hep-ph/0109167]
B.A. Kniehl, G. Kramer, I. Schienbein, H. Spiesberger, Phys. Rev. D 71, 014018 (2005) [hep-ph/0410289]
M. Cacciari, S. Catani, Nucl. Phys. B 617, 253 (2001)
J.P. Ma, Nucl. Phys. B 506, 329 (1997) [hep-ph/9705446]
K. Melnikov, A. Mitov, Phys. Rev. D 70, 034027 (2004) [hep-ph/0404143]
A. Mitov, Phys. Rev. D 71, 054021 (2005) [hep-ph/0410205]
M. Cacciari, M. Greco, Nucl. Phys. B 421, 530 (1994) [hep-ph/9311260]
M. Cacciari, M. Greco, B.A. Kniehl, M. Krämer, G. Kramer, M. Spira, Nucl. Phys. B 466, 173 (1996) [hep-ph/9512246]
M. Cacciari, M. Greco, Z. Phys. C 69, 459 (1996) [hep-ph/9505419]
M. Cacciari, M. Greco, Phys. Rev. D 55, 7134 (1997) [hep-ph/9702389]
M. Cacciari, M. Greco, P. Nason, JHEP 05, 007 (1998) [hep-ph/9803400]
M. Cacciari, S. Frixione, P. Nason, JHEP 03, 006 (2001) [hep-ph/0102134]
M. Cacciari, P. Nason, Phys. Rev. Lett. 89, 122003 (2002) [hep-ph/0204025]
S. Frixione, P. Nason, JHEP 03, 053 (2002) [hep-ph/0201281]
M. Cacciari, P. Nason, JHEP 09, 006 (2003) [hep-ph/0306212]
M.A.G. Aivazis, F.I. Olness, W.-K. Tung, Phys. Rev. D 50, 3085 (1994) [hep-ph/9312318]
M.A.G. Aivazis, J.C. Collins, F.I. Olness, W.-K. Tung, Phys. Rev. D 50, 3102 (1994) [hep-ph/9312319]
S. Kretzer, I. Schienbein, Phys. Rev. D 56, 1804 (1997) [hep-ph/9702296]
F.I. Olness, R.J. Scalise, W.-K. Tung, Phys. Rev. D 59, 014506 (1999) [hep-ph/9712494]
J. Binnewies, B.A. Kniehl, G. Kramer, Z. Phys. C 76, 677 (1997) [hep-ph/9702408]
G. Kramer, Proceedings of the Ringberg Workshop New Trends in HERA Physics 1999, edited by G. Grindhammer, B.A. Kniehl, G. Kramer, Lecture Notes in Physics 546 (Springer, 2000), p. 275
G. Kramer, H. Spiesberger, Eur. Phys. J. C 28, 495 (2003) [hep-ph/0302081]
G. Kramer, H. Spiesberger, Eur. Phys. J. C 38, 309 (2004) [hep-ph/0311062]
I. Bojak, M. Stratmann, Phys. Rev. D 67, 034010 (2003) [hep-ph/0112276]
I. Bojak, Ph.D. thesis, University of Dortmund, 2000 [hep-ph/0005120]
F. Aversa, P. Chiappetta, M. Greco, J. P. Guillet, Nucl. Phys. B 327, 105 (1989)
I. Schienbein, Proceedings of the 12th International Workshop on Deep Inelastic Scattering (DIS 2004), Strbske Pleso, Slovakia, 14-18 April 2004, [hep-ph/0408036]
M. Krämer, F.I. Olness, D.E. Soper, Phys. Rev. D 62, 096007 (2000) [hep-ph/0003035]
J.C. Collins, Phys. Rev. D 58, 094002 (1998) [hep-ph/9806259]
R.K. Ellis, H. Georgi, M. Machacek, H.D. Politzer, G.G. Ross, Nucl. Phys. B 152, 285 (1979)
M. Buza, Y. Matiounine, J. Smith, W.L. van Neerven, Eur. Phys. J. C 1, 301 (1998) [hep-ph/9612398]
J.C. Collins, F. Wilczek, A. Zee, Phys. Rev. D 18, 242 (1978)
Z. Merebashvili, A.P. Contogouris, G. Grispos, Phys. Rev. D 62, 114509 (2000); Erratum D 69, 019901 (2004) [hep-ph/0007050]
L.E. Gordon, Phys. Rev. D 50, 6753 (1994)
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Received: 22 February 2005, Published online: 21 April 2005
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Kniehl, B.A., Kramer, G., Schienbein, I. et al. Collinear subtractions in hadroproduction of heavy quarks. Eur. Phys. J. C 41, 199–212 (2005). https://doi.org/10.1140/epjc/s2005-02200-7
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DOI: https://doi.org/10.1140/epjc/s2005-02200-7