Next-to-Leading Order: Numerical vs. Analytical

In this talk, I'll describe how to integrate out various subtraction terms that arise in NLO computation numerically. Such numerical technique is inevitable to handle complexity of the calculation when the number of external leg gets bigger. Besides, I'll present the first systematic analytical calculation of Higgs production associated with up to five gluons at one loop level when all gluons carry same helicities. This calculation is important to study Higgs+jet at NNLO or Higgs+2-jet at NLO in the region where large top-mass approximation is not applicable and numerical outcome in the full theory shows instability.