This process calculable at leading LO and next-to-leading order NLO.

These processes represent the production of a Higgs boson in association with a single jet, with the subsequent decay of the Higgs to either a pair of bottom quarks (processes 201,203,206) or to a pair of tau’s (202,204,207), or to a pair of W’s which decay leptonically (208), or to a pair of Z’s which decay leptonically (209), or to a pair of photons (210).

The Higgs boson couples to a pair of gluons via a loop of heavy fermions which, in the Standard Model, is accounted for almost entirely by including the effect of the top quark alone. For processes 201,202,206,207, the matrix elements include the full dependence on the top quark mass. The calculation can only be performed at LO. However, the Higgs boson can either be the Standard Model one (processes 201,202) or a pseudoscalar (206,207). For the standard model this corresponds to the effective Lagrangian,

where v is the Higgs vacuum expectation value and G_{μν}^{a} the gluon field strength
tensor.

Note that the pseudoscalar case corresponds, in the heavy top limit, to the effective Lagrangian,

where _{a}^{μν} = iϵ^{μναβ}G_{αβ}^{a}. This interaction differs from the scalar case by a
factor of 3∕2 and hence the rate is increased by a factor of (3∕2)^{2}.

For processes 203,204,205,208,209,210, the calculation is performed in the limit of infinite top quark mass, so that NLO results can be obtained. The virtual matrix elements have been implemented from refs [1] and [2]. Phenomenological results have previously been given in refs. [3],[1] and [4]. Note that the effect of radiation from the bottom quarks in process 203 is not included.

When removebr is true in processes 201, 203, 206, 208, 209 and 210, the Higgs boson does not decay.

These processes represent the production of a Higgs boson in association with a single jet, with the subsequent decay of the Higgs to either a pair of bottom quarks (processes 201,203,206) or to a pair of tau’s (202,204,207), or to a pair of W’s which decay leptonically (208), or to a pair of Z’s which decay leptonically (209), or to a pair of photons (210).

The Higgs boson couples to a pair of gluons via a loop of heavy fermions which, in
the Standard Model, is accounted for almost entirely by including the effect of the
top quark alone. For processes 201,202,206,207, the matrix elements include the
full dependence on the top quark mass. The calculation can only be performed at
LO. The LO full m_{t} dependence calculation implements results of refs.[5, 6].
However, the Higgs boson can either be the Standard Model one (processes 201,202)
or a pseudoscalar (206,207). Note that the pseudoscalar case corresponds, in the
heavy top limit, to the effective Lagrangian,

(1) |

where _{a}^{μν} = iϵ^{μναβ}G_{αβ}^{a}. The interaction differs from the scalar case in by a factor
of 3∕2 and hence the rate is increased by a factor of (3∕2)^{2}.

For processes 203,204,208,209,210, the calculation is performed in the limit of infinite top quark mass, so that NLO and NNLO results can be obtained. The virtual one-loop matrix elements have been implemented from refs [1] and [2]. Phenomenological results have previously been given in refs. [3],[1] and [4]. Note that the effect of radiation from the bottom quarks in process 203 is not included. NNLO corrections have only been implemented for processes 204 and 210, using the 1-jettiness slicing approach described in ref. [7]. When removebr is true in processes 201, 203, 206, 208, 209 and 210, the Higgs boson does not decay.

nplotter_auto.f is the default plotting routine.

[1] V. Ravindran, J. Smith and W.L. Van Neerven, Next-to-leading order QCD corrections to differential distributions of Higgs boson production in hadron hadron collisions, Nucl. Phys. B634 (2002) 247 [hep-ph/0201114].

[2]
C.R. Schmidt,
H
→
ggg(gqq)
at
two
loops
in
the
large-M_{t}
limit,
Phys.
Lett.
B413
(1997)
391
[hep-ph/9707448].

[3] D. de Florian, M. Grazzini and Z. Kunszt, Higgs production with large transverse momentum in hadronic collisions at next-to-leading order, Phys. Rev. Lett. 82 (1999) 5209 [hep-ph/9902483].

[4] C.J. Glosser and C.R. Schmidt, Next-to-leading corrections to the Higgs boson transverse momentum spectrum in gluon fusion, JHEP 12 (2002) 016 [hep-ph/0209248].

[5] R.K. Ellis, I. Hinchliffe, M. Soldate and J.J. van der Bij, Higgs Decay to tau+ tau-: A Possible Signature of Intermediate Mass Higgs Bosons at the SSC, Nucl. Phys. B 297 (1988) 221.

[6] U. Baur and E.W.N. Glover, Higgs Boson Production at Large Transverse Momentum in Hadronic Collisions, Nucl. Phys. B 339 (1990) 38.

[7] J.M. Campbell, R.K. Ellis and S. Seth, H + 1 jet production revisited, JHEP 10 (2019) 136 [1906.01020].