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

Junya Nakamura; Julien Baglio

doi:10.1140/epjc/s10052-017-4593-3

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2017) 77: 35
https://doi.org/10.1140/epjc/s10052-017-4593-3

Regular Article - Theoretical Physics

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

Junya Nakamura^* and Julien Baglio

Institute for Theoretical Physics, University of Tübingen, Auf der Morgenstelle 14, 72076 , Tübingen, Germany

^* e-mail: junnaka0112@gmail.com

Received: 13 April 2016
Accepted: 1 January 2017
Published online: 18 January 2017

Abstract

Azimuthal angle correlations of two jets in the process $pp\rightarrow HHjj$ are studied. The loop induced $\mathcal {O}(\alpha _\mathrm{s}^4 \alpha _{}^2)$ gluon fusion (GF) sub-process and the $\mathcal {O}(\alpha _{}^4)$ weak boson fusion (WBF) sub-process are considered. The GF sub-process exhibits strong correlations in the azimuthal angles $\phi _{1,2}^{}$ of the two jets measured from the production plane of the Higgs boson pair and the difference between these two angles $\phi _1^{}-\phi _2^{}$ , and a very small correlation in their sum $\phi _1^{}+\phi _2^{}$ . 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 $gg\rightarrow HH$ 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 the WBF sub-processes. As part of the process dependent information, they will be helpful in the analyses of the process $pp\rightarrow HHjj$ at the LHC.