Jet azimuthal angle correlations in the production of a Higgs boson pair plus two jets at hadron colliders.

Azimuthal angle correlations of two jets in the process pp → HHj j are studied. The loop induced O(αs4 α²) gluon fusion (GF) sub-process and theO(α4) weak boson fusion (WBF) sub-process are considered. The GF sub-process exhibits strong correlations in the azimuthal angles φ1,2 of the two jets measured from the production plane of the Higgs boson pair and the difference between these two angles φ1 - φ2, and a very small correlation in their sum φ1 + φ2. Using a finite value for the mass of the loop running top quark in the amplitude is crucial for the correlations. The impact of a non-standard value for the triple Higgs self-coupling on the correlations is found small. The peak shifts of the azimuthal angle distributions reflect the magnitude of parity violation in the gg → HH amplitude and the dependence of the distributions on parity violating phases is analytically clarified. The normalised distributions and the peak positions of the correlations are stable against the variation of factorisation and renormalisation scales. The WBF sub-process also produces correlated distributions and it is found that they are not induced by the quantum effect of the intermediate weak bosons but mainly by a kinematic effect. This kinematic effect is a characteristic feature of the WBF sub-process and is not observed in the GF sub-process. It is found that the correlations are different in the GF and in theWBF sub-processes. As part of the process dependent information, they will be helpful in the analyses of the process pp → HHj j at the LHC. [ABSTRACT FROM AUTHOR]