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Jet Veto Clustering Logarithms Beyond Leading Order
High Energy Physics - Phenomenology · Submitted 20 Nov 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We compare the size of the known LO and new NLO clustering logarithms and find that the impact of the NLO terms on the 0-jet cross section in Higgs production is small.
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The abstract, sentence by sentence
Many experimental analyses separate events into exclusive jet bins, using a jet algorithm to cluster the final state and then veto on jets. Jet clustering induces logarithmic dependence on the jet radius R in the cross section for exclusive jet bins, a dependence that is poorly controlled due to the non-global nature of the clustering. At jet radii of experimental interest, the leading order (LO) clustering effects are numerically significant, but the higher order effects are currently unknown. We rectify this situation by calculating the most important part of the next-to-leading order (NLO) clustering logarithms of R for any 0-jet process, which enter as $O(\alpha_s^3)$ corrections to the cross section. The calculation blends subtraction methods for NLO calculations with factorization properties of QCD and soft-collinear effective theory (SCET). We compare the size of the known LO and new NLO clustering logarithms and find that the impact of the NLO terms on the 0-jet cross section in Higgs production is small. This brings clustering effects under better control and may be used to improve uncertainty estimates on cross sections with a jet veto.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Many experimental analyses separate events into exclusive jet bins, using a jet algorithm to cluster the final state and then veto on jets. | background 1.00 | 0.05 | 0.02 | asserted 1.00 |
| s1 | Jet clustering induces logarithmic dependence on the jet radius R in the cross section for exclusive jet bins, a dependence that is poorly controlled due to the non-global nature of the clustering. | background 0.94 | 0.08 | 0.04 | asserted 1.00 |
| s2 | At jet radii of experimental interest, the leading order (LO) clustering effects are numerically significant, but the higher order effects are currently unknown. | gap 0.98 | 0.08 | 0.03 | asserted 1.00 |
| s3 | We rectify this situation by calculating the most important part of the next-to-leading order (NLO) clustering logarithms of R for any 0-jet process, which enter as $O(\alpha_s^3)$ corrections to the cross section. | contribution 1.00 | 0.97 | 0.30 | asserted 1.00 |
| s4 | The calculation blends subtraction methods for NLO calculations with factorization properties of QCD and soft-collinear effective theory (SCET). | method 1.00 | 0.81 | 0.03 | asserted 1.00 |
| s5 | We compare the size of the known LO and new NLO clustering logarithms and find that the impact of the NLO terms on the 0-jet cross section in Higgs production is small. | result 1.00 | 0.96 | 0.57 | asserted 1.00 |
| s6 | This brings clustering effects under better control and may be used to improve uncertainty estimates on cross sections with a jet veto. | interpretation 0.97 | 0.59 | 0.37 | hedged possibility 0.84 |
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The paper
Original abstract
Many experimental analyses separate events into exclusive jet bins, using a jet algorithm to cluster the final state and then veto on jets. Jet clustering induces logarithmic dependence on the jet radius R in the cross section for exclusive jet bins, a dependence that is poorly controlled due to the non-global nature of the clustering. At jet radii of experimental interest, the leading order (LO) clustering effects are numerically significant, but the higher order effects are currently unknown. We rectify this situation by calculating the most important part of the next-to-leading order (NLO) clustering logarithms of R for any 0-jet process, which enter as $O(\alpha_s^3)$ corrections to the cross section. The calculation blends subtraction methods for NLO calculations with factorization properties of QCD and soft-collinear effective theory (SCET). We compare the size of the known LO and new NLO clustering logarithms and find that the impact of the NLO terms on the 0-jet cross section in Higgs production is small. This brings clustering effects under better control and may be used to improve uncertainty estimates on cross sections with a jet veto.
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References
How the literature uses it
19 arXiv papers cite this in 27 sentences
Papers citing it · 16 sentences without a confident label
Uses its data or values 1 paper
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A detailed, partially parametrised, expression for $Z(t)$ is given in Eq. ([ref]), with tabulated coefficients for $n_f=4, 5$ in table [ref] (the second order coefficient was also calculated in Ref. [ref] ).
Jet-vetoed Higgs cross section in gluon fusion at N3LO+NNLL with small-R resummation · Jet-radius dependence and small-$R$ effects · 0.85
Compares with it 1 paper
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A numerical calculation of the $^3 lnQ/p_t ln^2 R^2$ contribution to the jet veto efficiency in the case of $gg→H$ production was given recently by Alioli and Walsh (AW) [ref] .
Small-radius jets to all orders in QCD · Comparison with the literature · 0.84
Cites it as background 8 papers
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About a year ago, the whole tower of leading-logarithmic () terms was determined [ref] , i.e. $^n ln^n 1/R^2$ for all $n$, for a range of observables (for related work, see also Refs. [ref] ).
Inclusive jet spectrum for small-radius jets · Introduction · 0.88
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At NNLL and beyond, jet-veto cross sections depend on the jet-clustering algorithm, which was first studied in [ref] and more extensively analyzed in [ref] .
An Explanation of the WW Excess at the LHC by Jet-Veto Resummation · Introduction · 0.95
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In addition to the ingredients used in $e^+e^-$ collisions, factorization formulae for hadronic collisions involve beam functions $B$ which account for initial-state radiation [ref] , and we schematically have [equation] While RGE of the functions appearing in dsigmapp resums a large set of logarithms, others, such as logarithms of $$ [ref] and non-global logarithms (NGLs) [ref] , can present more of a challenge.
Jet Shapes in Dijet Events at the LHC in SCET · Introduction · 0.90
What it cites · 39 sentences without a confident label
Uses the method or tool of 16 papers
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The rapidity renormalization group provides a regularization scheme to regulate rapidity divergences and renormalize them much in the same way that dimensional regularization regulates virtuality divergences [ref] .
A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory · Projecting Out the Veto Logarithm · 0.95
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The rapidity renormalization group provides a regularization scheme to regulate rapidity divergences and renormalize them much in the same way that dimensional regularization regulates virtuality divergences [ref] .
The Rapidity Renormalization Group · Projecting Out the Veto Logarithm · 0.95
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This allows us to attack $C_3^(2)$ rather than the entire $C_3 (R)$. * Factorization properties of soft-collinear effective theory (SCET) [ref] , which allow for a direct calculation of $C_3^(2)$ via the soft function.
Invariant Operators in Collinear Effective Theory · Overview · 0.85
Uses data or values from 1 paper
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After a couple of simplifying steps, the result is (keeping the finite terms in $1/η$) [equation] The $x_1,2$ integrals yield [equation] where $C_2^(1)$ is given in C21 and $s_2^(1)$ is a constant that was previously computed in Ref. [ref] , and is equal to [equation] The angular integrals give ∫_-∞^∞ y ∫_-π^π ϕ/2π 1/ΔR^2 θ(ΔR > R) = - lnR/2π , and hence the entire result is ΔS_2^(2) () = ( C_A/π )^2 ( C_2^(1) lnν/ + s_2^(1) ) lnR^2 .
Jet p_T Resummation in Higgs Production at NNLL'+NNLO · Calculation of the $^2$ Clustering Logarithm · 0.93
Compares with 2 papers
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A similar soft function was calculated in Ref. [ref] .
Jet Shapes and Jet Algorithms in SCET · Soft Subtractions · 0.90
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Hence the total Born matrix elements are (in 4 dimensions) [equation] If we include the symmetry factor of $_gg = 1/2!$ in the $gg$ matrix element, these agree with the known $^2$ soft function matrix elements when taken into the collinear limit [ref] .
Non-global Structure of the O({\alpha}_s^2) Dijet Soft Function · $1→2$ Splitting Functions and the Born Matrix Elements · 0.83
Cites as background 12 papers
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The uncertainty in theoretical predictions of these exclusive jet cross sections can be substantial, and accurately predicting these cross sections and providing robust estimates of their uncertainty is the focus of considerable effort [ref] .
Theory Uncertainties for Higgs and Other Searches Using Jet Bins · Introduction · 0.80
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The uncertainty in theoretical predictions of these exclusive jet cross sections can be substantial, and accurately predicting these cross sections and providing robust estimates of their uncertainty is the focus of considerable effort [ref] .
Factorization and N^3LL_p+NNLO Predictions for the Higgs Cross Section with a Jet Veto · Introduction · 0.80
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The uncertainty in theoretical predictions of these exclusive jet cross sections can be substantial, and accurately predicting these cross sections and providing robust estimates of their uncertainty is the focus of considerable effort [ref] .
Jet p_T Resummation in Higgs Production at NNLL'+NNLO · Introduction · 0.80
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