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Radiative distortion of kinematic edges in cascade decays
High Energy Physics - Phenomenology · Submitted 24 Nov 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The separation into hard, collinear and soft contributions elucidates the process dependent and universal features of distributions in the edge region, represented by on-shell decay matrix elements, universal jet functions and a soft function that depends on the resonance propagator and soft Wilson lines.
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The abstract, sentence by sentence
Kinematic edges of cascade decays of new particles produced in high-energy collisions may provide important constraints on the involved particles' masses. For the exemplary case of gluino decay $\tilde{g}\to q\bar q \tilde{\chi}$ into a pair of quarks and a neutralino through a squark resonance, we study the hadronic invariant mass distribution in the vicinity of the kinematic edge. We perform a next-to-leading order calculation in the strong coupling $\alpha_s$ and the ratio of squark width and squark mass $\Gamma_\tilde{q}/m_\tilde{q}$, based on a systematic expansion in $\Gamma_\tilde{q}/m_\tilde{q}$. The separation into hard, collinear and soft contributions elucidates the process dependent and universal features of distributions in the edge region, represented by on-shell decay matrix elements, universal jet functions and a soft function that depends on the resonance propagator and soft Wilson lines.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Kinematic edges of cascade decays of new particles produced in high-energy collisions may provide important constraints on the involved particles' masses. | background 1.00 | 0.06 | 0.09 | hedged possibility 1.00 |
| s1 | For the exemplary case of gluino decay $\tilde{g}\to q\bar q \tilde{\chi}$ into a pair of quarks and a neutralino through a squark resonance, we study the hadronic invariant mass distribution in the vicinity of the kinematic edge. | contribution 0.96 | 0.77 | 0.06 | asserted 0.85 |
| s2 | We perform a next-to-leading order calculation in the strong coupling $\alpha_s$ and the ratio of squark width and squark mass $\Gamma_\tilde{q}/m_\tilde{q}$, based on a systematic expansion in $\Gamma_\tilde{q}/m_\tilde{q}$. | method 0.95 | 0.96 | 0.07 | asserted 0.99 |
| s3 | The separation into hard, collinear and soft contributions elucidates the process dependent and universal features of distributions in the edge region, represented by on-shell decay matrix elements, universal jet functions and a soft function that depends on the resonance propagator and soft Wilson lines. | method 0.54 | 0.87 | 0.21 | asserted 1.00 |
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The paper
Original abstract
Kinematic edges of cascade decays of new particles produced in high-energy collisions may provide important constraints on the involved particles' masses. For the exemplary case of gluino decay $\tilde{g}\to q\bar q \tilde{\chi}$ into a pair of quarks and a neutralino through a squark resonance, we study the hadronic invariant mass distribution in the vicinity of the kinematic edge. We perform a next-to-leading order calculation in the strong coupling $\alpha_s$ and the ratio of squark width and squark mass $\Gamma_\tilde{q}/m_\tilde{q}$, based on a systematic expansion in $\Gamma_\tilde{q}/m_\tilde{q}$. The separation into hard, collinear and soft contributions elucidates the process dependent and universal features of distributions in the edge region, represented by on-shell decay matrix elements, universal jet functions and a soft function that depends on the resonance propagator and soft Wilson lines.
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How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 1 paper
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On the theoretical side, there could be spin correlations [ref] , interference [ref] and higher order effects [ref] .
How to prove that the LHC did not discover dark matter · Introduction · 0.88
What it cites · 5 sentences without a confident label
Uses the method or tool of 3 papers
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We therefore introduce the hard $(1,1,1)$, collinear $(1,λ,√(λ))$, anti-collinear $(λ,1,√(λ))$ and soft $(λ,λ,λ)$ regions, where $λ=/$.[We do not distinguish $$ and $$ for the purpose of power counting.] Here, following soft-collinear effective theory (SCET) notation [ref] , we introduced two light-like vectors, $n_±^2=0$, and decomposed a four-vector into components $(n_+p,n_-p, p_⊥)$.
An effective field theory for collinear and soft gluons: heavy to light decays · Factorization and leading regions · 0.86
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We therefore introduce the hard $(1,1,1)$, collinear $(1,λ,√(λ))$, anti-collinear $(λ,1,√(λ))$ and soft $(λ,λ,λ)$ regions, where $λ=/$.[We do not distinguish $$ and $$ for the purpose of power counting.] Here, following soft-collinear effective theory (SCET) notation [ref] , we introduced two light-like vectors, $n_±^2=0$, and decomposed a four-vector into components $(n_+p,n_-p, p_⊥)$.
Soft-collinear effective theory and heavy-to-light currents beyond leading power · Factorization and leading regions · 0.86
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These simplifications automatically avoid double counting with the first term of ([ref]) and correspond to the direct computation of the hard region according to the method-of-regions strategy [ref] .
Asymptotic expansion of Feynman integrals near threshold · Factorization and leading regions · 0.98
Uses data or values from 1 paper
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The choice of SUSY benchmark points for our numerical analysis is based on the exclusion limits in terms of simplified models provided by ATLAS [ref] .
Summary of the searches for squarks and gluinos using $\sqrt{s}$ = 8 TeV pp collisions with the ATLAS experiment at the LHC · Radiative correction · 0.91
Compares with 1 paper
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The sum of the hard virtual and hard real corrections for the inclusive calculation agrees with the results in [ref] .
SUSY-QCD Decays of Squarks and Gluinos · Radiative correction · 0.98
Cites as background 2 papers
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Well-known examples are the invariant mass of the lepton pair in squark decay $q̃→q ℓ^+ℓ^-$ through a neutralino and a slepton resonance [ref] , and the hadronic invariant mass distribution in gluino decay $g̃→qq̅$ through a squark resonance (see diagrams in Figure [ref]).
Measuring sparticle masses in non-universal string inspired models at the LHC · Introduction · 0.88
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Well-known examples are the invariant mass of the lepton pair in squark decay $q̃→q ℓ^+ℓ^-$ through a neutralino and a slepton resonance [ref] , and the hadronic invariant mass distribution in gluino decay $g̃→qq̅$ through a squark resonance (see diagrams in Figure [ref]).
Precision SUSY Measurements at LHC · Introduction · 0.88
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