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The singular behavior of one-loop massive QCD amplitudes with one external soft gluon. (English) Zbl 1246.81420

Summary: We calculate the one-loop correction to the soft-gluon current with massive fermions. This current is process independent and controls the singular behavior of one-loop massive QCD amplitudes in the limit when one external gluon becomes soft. The result derived in this work is the last missing process-independent ingredient needed for numerical evaluation of observables with massive fermions at hadron colliders at the next-to-next-to-leading order.

MSC:

81V05 Strong interaction, including quantum chromodynamics
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[1] Giele, W. T.; Glover, E. W.N., Phys. Rev. D, 46, 1980-2010 (1992)
[2] Giele, W. T.; Glover, E. W.N.; Kosower, D. A., Nucl. Phys. B, 403, 633-670 (1993)
[3] Frixione, S.; Kunszt, Z.; Signer, A., Nucl. Phys. B, 467, 399-442 (1996)
[4] Catani, S.; Seymour, M. H., Nucl. Phys. B, 485, 291-419 (1997)
[5] Frixione, S., Nucl. Phys. B, 507, 295-314 (1997)
[6] Catani, S.; Dittmaier, S.; Seymour, M. H.; Trocsanyi, Z., Nucl. Phys. B, 627, 189-265 (2002)
[7] Bern, Z.; Del Duca, V.; Schmidt, C. R., Phys. Lett. B, 445, 168-177 (1998)
[8] Bern, Z.; Del Duca, V.; Kilgore, W. B.; Schmidt, C. R., Phys. Rev. D, 60, 116001 (1999)
[9] Catani, S.; Grazzini, M., Nucl. Phys. B, 591, 435-454 (2000)
[10] Czakon, M., Phys. Lett. B, 693, 259-268 (2010)
[11] Czakon, M., Nucl. Phys. B, 849, 250-295 (2011)
[12] Sen, A., Phys. Rev. D, 28, 860 (1983)
[13] Sterman, G. F.; Tejeda-Yeomans, M. E., Phys. Lett. B, 552, 48-56 (2003)
[14] Aybat, S. M.; Dixon, L. J.; Sterman, G., Phys. Rev. D, 74, 074004 (2006)
[15] Mitov, A.; Moch, S., JHEP, 0705, 001 (2007)
[16] Gardi, E.; Magnea, L., JHEP, 0903, 079 (2009)
[17] Kidonakis, N., Phys. Rev. Lett., 102, 232003 (2009)
[18] Becher, T.; Neubert, M., JHEP, 0906, 081 (2009)
[19] Mitov, A.; Sterman, G.; Sung, I., Phys. Rev. D, 79, 094015 (2009)
[20] Becher, T.; Neubert, M., Phys. Rev. D, 79, 125004 (2009)
[21] Czakon, M.; Mitov, A.; Sterman, G. F., Phys. Rev. D, 80, 074017 (2009)
[22] Ferroglia, A.; Neubert, M.; Pecjak, B. D.; Yang, L. L., Phys. Rev. Lett., 103, 201601 (2009)
[23] Ferroglia, A.; Neubert, M.; Pecjak, B. D.; Yang, L. L., JHEP, 0911, 062 (2009)
[24] Dixon, L. J.; Gardi, E.; Magnea, L., JHEP, 1002, 081 (2010)
[25] Mitov, A.; Sterman, G. F.; Sung, I., Phys. Rev. D, 82, 034020 (2010)
[26] Gardi, E.; Laenen, E.; Stavenga, G.; White, C. D., JHEP, 1011, 155 (2010)
[27] Mitov, A.; Sterman, G.; Sung, I., Phys. Rev. D, 82, 096010 (2010)
[28] Korner, J. G.; Merebashvili, Z.; Rogal, M., Phys. Rev. D, 71, 054028 (2005)
[29] Huber, T.; Maitre, D., Comput. Phys. Commun., 175, 122 (2006)
[30] Weinzierl, S., Comput. Phys. Commun., 145, 357 (2002)
[31] Moch, S.; Uwer, P., Comput. Phys. Commun., 174, 759 (2006)
[32] Moch, S.; Uwer, P.; Weinzierl, S., J. Math. Phys., 43, 3363 (2002)
[33] Vollinga, J.; Weinzierl, S., Comput. Phys. Commun., 167, 177 (2005)
[34] Gluza, J.; Mitov, A.; Moch, S., JHEP, 0907, 001 (2009)
[35] Baikov, P. A.; Chetyrkin, K. G.; Smirnov, A. V.; Smirnov, V. A.; Steinhauser, M., Phys. Rev. Lett., 102, 212002 (2009)
[36] Gehrmann, T.; Glover, E. W.N.; Huber, T.; Ikizlerli, N.; Studerus, C., JHEP, 1006, 094 (2010)
[37] Becher, T.; Melnikov, K., JHEP, 0706, 084 (2007)
[38] Czakon, M.; Mitov, A.; Moch, S., Nucl. Phys. B, 798, 210-250 (2008)
[39] Goncharov, A. B.; Spradlin, M.; Vergu, C.; Volovich, A., Phys. Rev. Lett., 105, 151605 (2010)
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