content_image/335114.jpg content_image/335113.jpg
in the speed of the code. For the processes involving two quark-antiquark pairs, the matrix elements squared given in Ref. [16] are implemented in MCFM, rather than the amplitudes of Ref. [23], because they lead to faster code. The values of the amplitudes calculated by the new analytic code and the previous semi-numerical code [12] are in full numerical agreement for all amplitudes. 

The improvement in the performance of our numerical code means that it is appropriate to revisit the phenomenology of Higgs + 2 jet production and to extend it in a number of ways. The improvement in the speed of the code means that it is possible to include the decays of the Higgs boson, specifically for the processes: 

<img src='content_image/335114.jpg'>

where h$_{1}$ , h$_{2}$ represent partons inside the incident hadron beams. All four of these processes are included in MCFM v5.7. 

## III. PARAMETERS 

Throughout this paper we make use of the MSTW2008 parton distribution functions [25], using the LO fit ( α$_{s}$ ( M$_{Z}$ ) = 0 . 13939 and 1-loop running) for the lowest order calculation and the NLO fit ( α$_{s}$ ( M$_{Z}$ ) = 0 . 12018 and 2-loop running) at NLO. The W mass and width are chosen to be, 

<img src='content_image/335113.jpg'>

The mass is taken from Ref. [26]. The total width given in Eq. (9) is derived from the measured branching ratio for W → ℓ ¯ ν , 10 . 80 ± 0 . 09% [26] by using a lowest order calculation 

