Abstract
Information deformation and loss in jet clustering are one of the major limitations for precisely measuring hadronic events at future e−e+ colliders. Because of their dominance in data, the measurements of such events are crucial for advancing the precision frontier of Higgs and electroweak physics in the next decades. We show that this difficulty can be well-addressed by synergizing the event-level information into the data analysis, with the techniques of deep neutral network. In relation to this, we introduce a CMB-like observable scheme, where the event-level kinematics is encoded as Fox-Wolfram (FW) moments at leading order and multi-spectra of spherical harmonics at higher orders. Then we develop a series of jet-level (w/ and w/o the FW moments) and event-level classifiers, and analyze their sensitivity performance comparatively with two-jet and four-jet events. As an application, we analyze measuring Higgs decay width at e−e+ colliders with the data of 5ab−1@240GeV. The precision obtained is significantly better than the baseline ones presented in documents. We expect this strategy to be applied to many other hadronic- event measurements at future e−e+ colliders, and to open a new angle for evaluating their physics capability.
Highlights
Branching ratios of hadronic modes, runs of future e−e+ colliders
We introduce a Cosmic Microwave Background (CMB)-like observable scheme, where the event-level kinematics is encoded as Fox-Wolfram (FW) moments at leading order and multi-spectra of spherical harmonics at higher orders
We showed that this difficulty can be well-addressed by synergizing the event-level information into the deep neural network (DNN)-based data analysis
Summary
We will introduce a CMB-like observable scheme to encode the kinematic information in each event. By energy and momentum conservation, the position contour of the second ancestral quark at the φ sin θ − cos θ plane is given by 11 − This equation predicts the said included angle at cos θ = 0, i.e., its characteristic value, to be ∼ φ sin θ ∼ π/2. The position points and contours for these ancestral quarks are smeared into halos, with their energy density varying spatially These observations are reminiscent of the all-sky CMB map where the message on the early Universe is encoded as its power spectrum and multi-spectra. A priority should be given to FW moments to implement the first method of addressing information deformation and loss in jet clustering Despite these correspondences, it is noteworthy that there exist some important differences between the Mollweide projection at e−e+ colliders and the all-sky CMB map. The variance of their mean over samples are suppressed for the FW moments at all multipoles, according to the central limit theorem
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