Chapter 3
New features in version 10.3

• Calculation of Z production at N${}^3$LO fixed-order through $q_T$ subtractions and resummation at the level of N${}^4$LL. These calculations include the Z+jet process at NNLO using jettiness subtractions. Based on Ref.[9]. Detailed documentation can be found in Section 11.

• Jet veto resummation added for color singlet final states, achieving partial N${}^3$LL accuracy, as described in Ref. [10]. Vetoing energetic jet activity is a crucial tool for suppressing backgrounds and enabling new physics searches at the LHC, but the introduction of a veto scale can introduce large logarithms that may need to be resummed. We present an implementation of jet-veto resummation for color-singlet processes at the level of N${}^3$LL${}_p$ matched to fixed-order NNLO predictions. Resummation is implemented for vetos of jet activity in productions of a single boson, such as $Z∕{\gamma }^{\text{∗}}$, $W^{\text{±}}$ or $H$, or of a pair of vector bosons, such as $W^{\text{+}}{W}^{\text{−}}$, $W^{\text{±}}Z$ or $\mathit{ZZ}$. The implementation relies on recent calculations of the soft and beam functions in the presence of a jet veto over all rapidities, with jets defined using a sequential recombination algorithm with jet radius $R$. However one of the ingredients that is required to reach full N${}^3$LL accuracy is only known approximately, hence N${}^3$LL${}_p$.

  Benchmark results, taken from Ref. [10], are detailed in Section 10.