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Diffractive Processes at Next-to-Leading Order in the Dipole Picture
High Energy Physics - Phenomenology · Submitted 21 Aug 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The universality of the dipole-target scattering amplitude at NLO is shown numerically, in the sense that the same dipole-target scattering amplitude can be used to describe the data in both massless and massive quark production in inclusive DIS, and also in diffractive processes where exclusive vector meson production is considered.
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The abstract, sentence by sentence
In this thesis, we calculate diffractive processes at next-to-leading order (NLO) in the high-energy limit, with an emphasis on exclusive vector meson production and inclusive diffraction in deep inelastic scattering (DIS). Calculations in the high-energy limit can be done using the dipole picture, the basics of which are briefly reviewed. This includes using the color-glass condensate effective field theory to describe the nonperturbative dipole-target scattering amplitude which appears in practically all calculations in the dipole picture. The universality of the dipole-target scattering amplitude at NLO is shown numerically, in the sense that the same dipole-target scattering amplitude can be used to describe the data in both massless and massive quark production in inclusive DIS, and also in diffractive processes where exclusive vector meson production is considered. The analytical NLO calculations of exclusive vector meson production and inclusive diffraction in DIS are also explained. Exclusive vector meson production is calculated in the nonrelativistic limit for heavy mesons and the limit of large photon virtuality for light mesons. Also, the importance of including relativistic corrections to the heavy vector meson wave function in exclusive vector meson production is considered. For inclusive diffraction in DIS, we focus on the NLO corrections to the final state and show how the divergences cancel.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this thesis, we calculate diffractive processes at next-to-leading order (NLO) in the high-energy limit, with an emphasis on exclusive vector meson production and inclusive diffraction in deep inelastic scattering (DIS). | contribution 1.00 | 0.93 | 0.12 | asserted 0.96 |
| s1 | Calculations in the high-energy limit can be done using the dipole picture, the basics of which are briefly reviewed. | background 0.62 | 0.15 | 0.02 | asserted 0.82 |
| s2 | This includes using the color-glass condensate effective field theory to describe the nonperturbative dipole-target scattering amplitude which appears in practically all calculations in the dipole picture. | background 0.58 | 0.10 | 0.05 | asserted 0.99 |
| s3 | The universality of the dipole-target scattering amplitude at NLO is shown numerically, in the sense that the same dipole-target scattering amplitude can be used to describe the data in both massless and massive quark production in inclusive DIS, and also in diffractive processes where exclusive vector meson production is considered. | result 0.95 | 0.86 | 0.64 | asserted 1.00 |
| s4 | The analytical NLO calculations of exclusive vector meson production and inclusive diffraction in DIS are also explained. | contribution 0.76 | 0.73 | 0.05 | asserted 0.94 |
| s5 | Exclusive vector meson production is calculated in the nonrelativistic limit for heavy mesons and the limit of large photon virtuality for light mesons. | method 0.87 | 0.87 | 0.04 | asserted 1.00 |
| s6 | Also, the importance of including relativistic corrections to the heavy vector meson wave function in exclusive vector meson production is considered. | contribution 0.71 | 0.65 | 0.03 | asserted 0.45 |
| s7 | For inclusive diffraction in DIS, we focus on the NLO corrections to the final state and show how the divergences cancel. | contribution 0.68 | 0.89 | 0.07 | asserted 0.98 |
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The paper
Original abstract
In this thesis, we calculate diffractive processes at next-to-leading order (NLO) in the high-energy limit, with an emphasis on exclusive vector meson production and inclusive diffraction in deep inelastic scattering (DIS). Calculations in the high-energy limit can be done using the dipole picture, the basics of which are briefly reviewed. This includes using the color-glass condensate effective field theory to describe the nonperturbative dipole-target scattering amplitude which appears in practically all calculations in the dipole picture. The universality of the dipole-target scattering amplitude at NLO is shown numerically, in the sense that the same dipole-target scattering amplitude can be used to describe the data in both massless and massive quark production in inclusive DIS, and also in diffractive processes where exclusive vector meson production is considered. The analytical NLO calculations of exclusive vector meson production and inclusive diffraction in DIS are also explained. Exclusive vector meson production is calculated in the nonrelativistic limit for heavy mesons and the limit of large photon virtuality for light mesons. Also, the importance of including relativistic corrections to the heavy vector meson wave function in exclusive vector meson production is considered. For inclusive diffraction in DIS, we focus on the NLO corrections to the final state and show how the divergences cancel.
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How the literature uses it
1 arXiv paper cite this in 2 sentences
What it cites · 164 sentences without a confident label
Uses the method or tool of 10 papers
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For example, numerical integration of the generalized Bessel functions [equation] introduced in Refs. [ref] is demanding in the limit $_2;(x)^2 →0$, as the $t$-integral develops a singularity at $t →0$ if $_2;(x)^2 = 0$.
Massive quarks at one loop in the dipole picture of Deep Inelastic Scattering · Structure functions with massive quarks at NLO · 0.86
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For example, numerical integration of the generalized Bessel functions [equation] introduced in Refs. [ref] is demanding in the limit $_2;(x)^2 →0$, as the $t$-integral develops a singularity at $t →0$ if $_2;(x)^2 = 0$.
Massive quarks in NLO dipole factorization for DIS: Transverse photon · Structure functions with massive quarks at NLO · 0.86
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For example, numerical integration of the generalized Bessel functions [equation] introduced in Refs. [ref] is demanding in the limit $_2;(x)^2 →0$, as the $t$-integral develops a singularity at $t →0$ if $_2;(x)^2 = 0$.
Massive quarks in NLO dipole factorization for DIS: Longitudinal photon · Structure functions with massive quarks at NLO · 0.86
Uses data or values from 23 papers
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Out of the 24 fits only three were found to be compatible with both the charm quark and inclusive reduced cross section data from HERA [ref] , listed in Table [ref].
Combination and QCD analysis of charm and beauty production cross-section measurements in deep inelastic $ep$ scattering at HERA · Structure functions with massive quarks at NLO · 0.92
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Out of the 24 fits only three were found to be compatible with both the charm quark and inclusive reduced cross section data from HERA [ref] , listed in Table [ref].
Combined Measurement and QCD Analysis of the Inclusive ep Scattering Cross Sections at HERA · Structure functions with massive quarks at NLO · 0.92
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Out of the 24 fits only three were found to be compatible with both the charm quark and inclusive reduced cross section data from HERA [ref] , listed in Table [ref].
Combination of Measurements of Inclusive Deep Inelastic $e^{\pm}p$ Scattering Cross Sections and QCD Analysis of HERA Data · Structure functions with massive quarks at NLO · 0.92
Compares with 1 paper
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Feynman diagrams containing these wave functions, however, have already been calculated in Ref. [ref] , so that the expressions for the wave functions can be compared to some extent to the results presented there.
Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate · Diffractive DIS at next-to-leading order · 0.99
Cites as background 65 papers
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Another widely used model is the impact parameter saturation (IPsat) model [ref] [equation] which depends on the gluon parton distribution function (PDF) $xg(x,μ^2)$ and the transverse profile of the target $T()$.
An Impact Parameter Dipole Saturation Model · Numerical fits for the dipole amplitude · 0.84
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Another widely used model is the impact parameter saturation (IPsat) model [ref] [equation] which depends on the gluon parton distribution function (PDF) $xg(x,μ^2)$ and the transverse profile of the target $T()$.
Exclusive diffractive processes at HERA within the dipole picture · Numerical fits for the dipole amplitude · 0.84
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The more natural large-$M_X^2$ limit has later been calculated by several authors in Refs. [ref] , and it has been connected to the large-$Q^2$ result in Ref. [ref] .
Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD · Light vector meson production at large photon virtualities · 0.85
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