Mass reconstruction with $M_2$ under constraint in semi-invisible production at a hadron collider

Abstract

The mass-constraining variable $M_2$, a $(1+3)$-dimensional natural successor of extremely popular $M_{T2}$, possesses an array of rich features having the ability to use on-shell mass constraints in semi-invisible production at a hadron collider. In this work, we investigate the consequence of applying a heavy resonance mass-shell constraint in the context of a semi-invisible antler decay topology produced at the LHC. Our proposed variable, under additional constraint, develops a new kink solution at the true masses. This enables one to determine the invisible particle mass simultaneously with the parent particle mass from these events. We analyze in a way to measure this kink optimally, exploring the origin and the properties of such interesting characteristics. We also study the event reconstruction capability inferred from this new variable and find that the resulting momenta are unique and well correlated with true invisible particle momenta.

26 pages, 7 figures; several changes made for further clarity; one figure replaced, references added; results and conclusions unchanged, version to appear in Phys. Rev. D

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• Reconstructing semi-invisible events in resonant tau pair production from Higgs
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• Identifying Phase Space Boundaries with Voronoi Tessellations
• $\tau \to \ell +$ invisible through invisible-savvy collider variables
• Singularity Variables for Missing Energy Event Kinematics
• YAM2: Yet another library for the $M_2$ variables using sequential quadratic programming
• Measuring Masses in Semi-Invisible Final States at Electron-Positron Colliders
• Reconstruction of Missing Resonances Combining Nearest Neighbors Regressors and Neural Network Classifiers
• Exploring CP phase in $\tau$-lepton Yukawa coupling in Higgs decays at the LHC
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• Measuring $CP$ nature of $h\tau \bar{\tau }$ coupling at $e^{-}p$ collider
• A mass reconstruction technique for a heavy resonance decaying to ${\tau }^{+}{\tau }^{-}$
• Indian Contributions to LHC Theory
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