Abstract

Abstract Kinematic distributions in the decays of the newly discovered resonance to four leptons are a powerful probe of the tensor structure of its couplings to electroweak gauge bosons. We present analytic calculations for both signal and background of the fully differential cross section for the ‘Golden Channel’ e + e − μ + μ − final state. We include all interference effects between intermediate gauge bosons and allow them to be on- or off-shell. For the signal we compute the fully differential decay width for general scalar couplings to ZZ,γγ,andZγ. For the background we compute the leading order fully differential cross section for q q annihilation into Z and γ gauge bosons, including the contribution from the resonant Z → 2e2μ process. We also present singly and doubly differential projections and study the interference effects on the differential spectra. These expressions can be used in a variety of ways to uncover the nature of the newly discovered resonance or any new scalars decaying to neutral gauge bosons which might be discovered in the future.

Highlights

  • The dominant irreducible background to the golden channel comes from qqannihilation into gauge bosons

  • We present analytic calculations for both signal and background of the fully differential cross section for the ‘Golden Channel’ e+e−μ+μ− final state

  • These expressions can be used in a variety of ways to uncover the nature of the newly discovered resonance or any new scalars decaying to neutral gauge bosons which might be discovered in the future

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Summary

Four lepton events

The kinematics of four lepton (4 ) events are described in detail in many places in the literature and here we use the convention found in [3]. The same can be said for background events which proceed through t-channel pair production In these cases, the angle Φ1 defines the azimuthal angle between the di-boson production plane and the plane formed by the lepton pair which reconstructs to M1 and Θ is the vector boson production angle. The angle Φ1 defines the azimuthal angle between the di-boson production plane and the plane formed by the lepton pair which reconstructs to M1 and Θ is the vector boson production angle Other than this more subtle interpretation of the various kinematic variable in practice the definitions of these variables are left unchanged from the definitions found in [3] which we follow from here on

Signal
Calculation
The differential mass spectra
Background
The differential spectra
Conclusions and outlook
Analytic expressions
Singly differential angular distributions
Doubly differential spectra
Full Text
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