Two-loop amplitudes for Higgs plus jet production involving a modified trilinear Higgs coupling

Abstract

We calculate the contributions to the two-loop scattering amplitudes $h\to gg$, $h\to ggg$ and $h\to q\bar{q}g$ that arise from a modified trilinear Higgs coupling $\lambda$. Analytic expressions are obtained by performing an asymptotic expansion near the limit of infinitely heavy top quark. The calculated amplitudes are necessary to study the impact of the $\mathcal{O}(\lambda )$ corrections to the transverse momentum distributions ($p_{T,h}$) in single-Higgs production at hadron colliders for low and moderate values of $p_{T,h}$.

arXiv comment13 pages, 1 figure; v2: version accepted by JHEP

References in corpus (22)

• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• Connection between Feynman integrals having different values of the space-time dimension
• Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses
• $O(\alpha {\alpha }_s^2)$ correction to the electroweak $\rho$ parameter
• MATAD: a program package for the computation of MAssive TADpoles
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• An Indirect Model-Dependent Probe of the Higgs Self-Coupling
• A global view on the Higgs self-coupling
• Probing the Higgs self coupling via single Higgs production at the LHC
• A global view on the Higgs self-coupling at lepton colliders
• Results and Techniques of Multi-Loop Calculations
• Trilinear Higgs coupling determination via single-Higgs differential measurements at the LHC
• Indirect probes of the trilinear Higgs coupling: $gg\to h$ and $h\to \gamma \gamma$
• Constraints on the trilinear Higgs coupling from vector boson fusion and associated Higgs production at the LHC
• Electroweak oblique parameters as a probe of the trilinear Higgs boson self-interaction
• Constraints on the trilinear Higgs self coupling from precision observables
• Constraints on the quartic Higgs self-coupling from double-Higgs production at future hadron colliders
• Constraining the Higgs self couplings at $e^{+}{e}^{-}$ colliders
• Two-loop $gg\to Hg$ amplitude mediated by a nearly massless quark
• Two-loop amplitudes for $qg\to Hq$ and $q\bar{q}\to Hg$ mediated by a nearly massless quark
• AN ALGORITHM FOR SMALL MOMENTUM EXPANSION OF FEYNMAN DIAGRAMS

Cited by in corpus (14)

• Collider Physics at the Precision Frontier
• Higgs boson potential at colliders: status and perspectives
• Probing the trilinear Higgs boson coupling in di-Higgs production at NLO QCD including parton shower effects
• Constraints on the quartic Higgs self-coupling from double-Higgs production at future hadron colliders
• Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
• Exploring anomalous couplings in Higgs boson pair production through shape analysis
• The complete set of two-loop master integrals for Higgs + jet production in QCD
• Probing the Higgs self-coupling through double Higgs production in vector boson scattering at the LHC
• Charting the Higgs self-coupling boundaries
• The effect of an anomalous Higgs trilinear self-coupling on the h to gamma Z decay
• Off-shell Higgs production at the LHC as a probe of the trilinear Higgs coupling
• Bounds on CP-violating Higgs-gluon interactions: the case of vanishing light-quark Yukawa couplings
• Probing the Higgs trilinear self-coupling through Higgs+jet production
• Constraining the Higgs potential using multi-Higgs production