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The computation of perturbative corrections to processes involving heavyquarks is crucial for the precision program of the LHC and future colliders. Inthis article, we describe a powerful approach to calculate higher-orders in QCDskipping the traditional subtraction method. Our proposal is based on theloop-tree duality (LTD) theorem, which allows to rewrite virtual contributionsin terms of integrals over the real emission phase-space. Then, we proceed tocombine both real and virtual contributions at the integrand level, obtainingregular expressions that can be numerically integrated in four space-timedimensions. In this way, we avoid dealing with complicated massive Feynmanintegrals and introducing infrared counter-terms. Some reference examples areexplained, in order to exhibit the potential of our method.

Higher-orders in heavy quark processes within the LTD approach