On the evaluation of two-loop electroweak box diagrams for $e^{+}{e}^{-}\to HZ$ production

Abstract

Precision studies of the Higgs boson at future $e^{+}{e}^{-}$ colliders can help to shed light on fundamental questions related to electroweak symmetry breaking, baryogenesis, the hierarchy problem, and dark matter. The main production process, $e^{+}{e}^{-}\to HZ$, will need to be controlled with sub-percent precision, which requires the inclusion of next-to-next-to-leading order (NNLO) electroweak corrections. The most challenging class of diagrams are planar and non-planar double-box topologies with multiple massive propagators in the loops. This article proposes a technique for computing these diagrams numerically, by transforming one of the sub-loops through the use of Feynman parameters and a dispersion relation, while standard one-loop formulae can be used for the other sub-loop. This approach can be extended to deal with tensor integrals. The resulting numerical integrals can be evaluated in minutes on a single CPU core, to achieve about 0.1% relative precision.

16 pages, 4 figures and 1 table; typos in eqs.(6,21,26,36) corrected

References in corpus (19)

• Automatized One-Loop Calculations in 4 and D dimensions
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• New Developments in FeynCalc 9.0
• Precision Measurements of Higgs Couplings: Implications for New Physics Scales
• Analytical and numerical methods for massive two-loop self-energy diagrams
• Electroweak two-loop corrections to the effective weak mixing angle
• Full one-loop electroweak radiative corrections to single Higgs production in e+ e-
• Mixed electroweak-QCD corrections to $e^{+}{e}^{-}\to HZ$ at Higgs factory
• Electroweak pseudo-observables and Z-boson form factors at two-loop accuracy
• Mixed QCD-EW corrections for Higgs boson production at $e^{+}{e}^{-}$ colliders
• Electroweak radiative corrections to single Higgs-boson production in e+e- annihilation
• On the QED Radiator at Order ${\alpha }^3$
• Numerical Computation of Two-loop Box Diagrams with Masses
• Electroweak corrections to Higgs production through ZZ fusion at the linear collider
• One-loop electroweak radiative corrections to polarized $e^{+}{e}^{-}\to ZH$
• Mixed electroweak-QCD corrections to $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}H$ at CEPC with finite-width effect
• ISR corrections to associated $HZ$ production at future Higgs factories
• Two-loop triangle integrals with 4 scales for the $HZV$ vertex
• Dispersion Approach in Two-Loop Calculations

Cited by in corpus (11)

• Multiloop corrections for collider processes using auxiliary mass flow
• Determining Feynman integrals with only input from linear algebra
• NLO Electroweak Corrections to Multi-Boson Processes at a Muon Collider
• Automatic computation of Feynman integrals containing linear propagators via auxiliary mass flow
• Impact of NLO Weak SMEFT Corrections in $e^{+}{e}^{-}\to ZH$
• Evaluation of multi-loop multi-scale Feynman integrals for precision physics
• Two-Loop Electroweak Corrections with Fermion Loops to $e^{+}{e}^{-}\to ZH$
• Computational challenges for multi-loop collider phenomenology
• Towards a Fully Automated Differential ${\text{NNLO}}_{\text{EW}}$ Generator for Lepton Colliders
• Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes
• Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations