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Systematic Improvement of Parton Showers with Effective Theory
High Energy Physics - Phenomenology · Submitted 5 Jul 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We carry out a systematic classification and computation of next-to-leading order kinematic power corrections to the fully differential cross section in the parton shower.
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The abstract, sentence by sentence
We carry out a systematic classification and computation of next-to-leading order kinematic power corrections to the fully differential cross section in the parton shower. To do this we devise a map between ingredients in a parton shower and operators in a traditional effective field theory framework using a chain of soft-collinear effective theories. Our approach overcomes several difficulties including avoiding double counting and distinguishing approximations that are coordinate choices from true power corrections. Branching corrections can be classified as hard-scattering, that occur near the top of the shower, and jet-structure, that can occur at any point inside it. Hard-scattering corrections include matrix elements with additional hard partons, as well as power suppressed contributions to the branching for the leading jet. Jet-structure corrections require simultaneous consideration of potential 1 -> 2 and 1 -> 3 branchings. The interference structure induced by collinear terms with subleading powers remains localized in the shower.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We carry out a systematic classification and computation of next-to-leading order kinematic power corrections to the fully differential cross section in the parton shower. | contribution 1.00 | 0.96 | 0.19 | asserted 1.00 |
| s1 | To do this we devise a map between ingredients in a parton shower and operators in a traditional effective field theory framework using a chain of soft-collinear effective theories. | method 0.99 | 0.94 | 0.06 | asserted 1.00 |
| s2 | Our approach overcomes several difficulties including avoiding double counting and distinguishing approximations that are coordinate choices from true power corrections. | contribution 0.63 | 0.84 | 0.12 | asserted 1.00 |
| s3 | Branching corrections can be classified as hard-scattering, that occur near the top of the shower, and jet-structure, that can occur at any point inside it. | contribution 0.44 | 0.81 | 0.12 | asserted 1.00 |
| s4 | Hard-scattering corrections include matrix elements with additional hard partons, as well as power suppressed contributions to the branching for the leading jet. | result 0.47 | 0.71 | 0.08 | asserted 1.00 |
| s5 | Jet-structure corrections require simultaneous consideration of potential 1 -> 2 and 1 -> 3 branchings. | contribution 0.52 | 0.68 | 0.07 | asserted 1.00 |
| s6 | The interference structure induced by collinear terms with subleading powers remains localized in the shower. | result 0.97 | 0.75 | 0.10 | asserted 1.00 |
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The paper
Original abstract
We carry out a systematic classification and computation of next-to-leading order kinematic power corrections to the fully differential cross section in the parton shower. To do this we devise a map between ingredients in a parton shower and operators in a traditional effective field theory framework using a chain of soft-collinear effective theories. Our approach overcomes several difficulties including avoiding double counting and distinguishing approximations that are coordinate choices from true power corrections. Branching corrections can be classified as hard-scattering, that occur near the top of the shower, and jet-structure, that can occur at any point inside it. Hard-scattering corrections include matrix elements with additional hard partons, as well as power suppressed contributions to the branching for the leading jet. Jet-structure corrections require simultaneous consideration of potential 1 -> 2 and 1 -> 3 branchings. The interference structure induced by collinear terms with subleading powers remains localized in the shower.
Human review
References
How the literature uses it
7 arXiv papers cite this in 8 sentences
Papers citing it · 6 sentences without a confident label
Uses its method or tool 1 paper
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Following for example [ref] , we write the corresponding 2-particle phase space as d^3p2p^0d^3k2k^0 = dp^+d^2p_⊥2p^+ dk^+d^2k_⊥2k^+ d^4p_0 δ^(4)(p_0-p-k) = dp_0^+d^2p_0⊥2p_0^+×dx d^2k_⊥2x(1-x) .
Effective field theory approach to open heavy flavor production in heavy-ion collisions · $Q→Qg$ · 0.97
Cites it as background 1 paper
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[ref] .] We briefly recall it here and refer to ref.
Factorization and Resummation for Generic Hierarchies between Jets · $c+$ regime: two collinear jets · 0.87
What it cites · 96 sentences without a confident label
Builds on 3 papers
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Building on the work of Refs. [ref] , the main goal of the framework we develop in the next section is to overcome this list of issues so that we can determine power corrections to the shower using SCET.
Improving jet distributions with effective field theory · Bauer-Schwartz Method · 0.88
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Building on the work of Refs. [ref] , the main goal of the framework we develop in the next section is to overcome this list of issues so that we can determine power corrections to the shower using SCET.
Event Generation from Effective Field Theory · Bauer-Schwartz Method · 0.88
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By extension from SCET [ref] , two collinear sectors in $$, $n_1$ and $n_2$, are distinct if
Hard Scattering Factorization from Effective Field Theory · Finite RPI · 0.89
Uses the method or tool of 4 papers
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The procedure of [ref] starts by constructing $i$-parton operators, $_i$, through matching SCET to QCD at a hard scale.
Improving jet distributions with effective field theory · Bauer-Schwartz Method · 0.90
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The procedure of [ref] starts by constructing $i$-parton operators, $_i$, through matching SCET to QCD at a hard scale.
Event Generation from Effective Field Theory · Bauer-Schwartz Method · 0.90
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Using the same parametrization as Ref. [ref] , we can write:
The evolution of parton distributions beyond leading order: the singlet case · $(α_s^2)$ Correction to Splitting Function · 1.00
Compares with 2 papers
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Performing all but the $dz_i$ integrals in $ℛ$, we get Table [ref], which corresponds to [ref] 's Table 5.
The evolution of parton distributions beyond leading order: the singlet case · $(α_s^2)$ Correction to Splitting Function · 0.95
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[equation] The relation ([ref]) is in agreement with the spinor equation (A7) in [ref] upon setting $n̅_1=n̅_2$.
Event Generation from Effective Field Theory · Finite RPI · 0.94
Cites as background 27 papers
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The collinear derivative, $D^μ_n$, and collinear Wilson line, $W_n$, are defined as [ref] :
Soft-Collinear Factorization in Effective Field Theory · More SCET basics · 0.97
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Soft-Collinear Effective Theory is an effective field theory of QCD that describes the interactions of collinear and soft particles [ref] .
Summing Sudakov logarithms in B -> X_s + gamma in effective field theory · SCET Basics · 1.00
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Soft-Collinear Effective Theory is an effective field theory of QCD that describes the interactions of collinear and soft particles [ref] .
An effective field theory for collinear and soft gluons: heavy to light decays · SCET Basics · 1.00
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