# Next-to-next-to-leading-order subtraction formalism in hadron collisions and its application to Higgs-boson production at the large hadron collider.

@article{Catani2007NexttonexttoleadingorderSF,
title={Next-to-next-to-leading-order subtraction formalism in hadron collisions and its application to Higgs-boson production at the large hadron collider.},
author={Stefano Catani and Massimiliano Grazzini},
journal={Physical review letters},
year={2007},
volume={98 22},
pages={
222002
}
}
• Published 1 March 2007
• Physics
• Physical review letters
We consider higher-order QCD corrections to the production of colorless high-mass systems (lepton pairs, vector bosons, Higgs bosons, etc.) in hadron collisions. We propose a new formulation of the subtraction method to numerically compute arbitrary infrared-safe observables for this class of processes. To cancel the infrared divergences, we exploit the universal behavior of the associated transverse-momentum (qT) distributions in the small-qT region. The method is illustrated in general terms…
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## References

SHOWING 1-10 OF 51 REFERENCES
Phys
• Rev. Lett. 93 (2004) 262002, Nucl. Phys. B 724
• 2005
JHEP 0506 (2005) 024
• JHEP 0701 (2007) 070; G. Somogyi and Z. Trocsanyi, JHEP 0701
• 2007
Phys
• Rev. Lett. 96 (2006) 231803, Phys. Rev. D 74
• 2006
Phys
• Rev. D 74
• 2006
Phys. Rev. D
• Phys. Rev. D
• 2006
Phys. Rev. Lett. Phys. Rev. D
• Phys. Rev. Lett. Phys. Rev. D
• 2006
JHEP
• JHEP
• 2005
JHEP
• JHEP
• 2005
JHEP
• JHEP
• 2005
Phys
• Rev. D 57 (1998) 5410, Phys. Rev. D 67 (2003) 116003, Phys. Rev. D 71
• 2005