2-, 3- and 4-Body Decays in the Constructive Standard Model

Abstract

We further develop the massive constructive theory of the Standard Model and use it to calculate the amplitude and squared amplitude for all two-body decays, a collection of weak three-body decays, as well as Higgs decay to four neutrinos. We compare our results with those from Feynman diagrams and find complete agreement. We show that in all the cases considered here, the amplitudes of massive constructive theories are significantly simpler than those resulting from Feynman diagrams. In fact, a naive counting of the number of calculations required for a matrix-element generator to compute a phase-space point is orders-of-magnitude smaller for the result coming from the constructive method suggesting that these generators might benefit from this method in the future, even in the case of massive weak amplitudes. We also anticipate that our simpler expressions will produce numerically more stable expressions.

arXiv commentVersion published in Physical Review D

References in corpus (20)

• MadGraph 5 : Going Beyond
• Event generation with SHERPA 1.1
• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• Herwig 7.0 / Herwig++ 3.0 Release Note
• CalcHEP 3.4 for collider physics within and beyond the Standard Model
• MadEvent: Automatic Event Generation with MadGraph
• WHIZARD: Simulating Multi-Particle Processes at LHC and ILC
• New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
• Calculating Scattering Amplitudes Efficiently
• Scattering Amplitudes For All Masses and Spins
• Effective Field Theory Amplitudes the On-Shell Way: Scalar and Vector Couplings to Gluons
• The electroweak effective field theory from on-shell amplitudes
• Standard Model Effective Field Theory from On-shell Amplitudes
• The Rise of SMEFT On-shell Amplitudes
• Helicity amplitudes for QCD with massive quarks
• A Bound on Massive Higher Spin Particles
• An Introduction to On-shell Recursion Relations
• The Constructive Standard Model: Part I
• A minimal approach to the scattering of physical massless bosons
• On-shell constructibility of Born amplitudes in spontaneously broken gauge theories

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• ALPs, the on-shell way
• The Scattering Algebra of Physical Space: Squared Massive Constructive Amplitudes