Revisiting the time-ordering issue of TMD soft factors: causality, coordinate space analyticity and new equalities

A bstract We show that as a result of causality-constrained coordinate space analyticity, the Drell-Yan-shape transverse-momentum dependent soft factor in the exponential regulator allows Euclidean-type parametric representations without cuts, to all orders in perturbation theory. Moreover, it is id...

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Published inThe journal of high energy physics Vol. 2024; no. 9; pp. 30 - 32
Main Author Liu, Yizhuang
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 06.09.2024
Springer Nature B.V
SpringerOpen
Subjects
Causality
Classical and Quantum Gravitation
Correlation Functions
Elementary Particles
Equality
Euclidean geometry
Form factors
Higher-Order Perturbative Calculations
Light
Perturbation theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Regular Article - Theoretical Physics
Relativity Theory
Renormalization and Regularization
String Theory
Wilson, ’t Hooft and Polyakov loops
Wilson, ’t Hooft and Polyakov loops
Correlation Functions
Renormalization and Regularization
Higher-Order Perturbative Calculations
Online AccessGet full text
ISSN1029-8479
1029-8479
DOI10.1007/JHEP09(2024)030

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Abstract A bstract We show that as a result of causality-constrained coordinate space analyticity, the Drell-Yan-shape transverse-momentum dependent soft factor in the exponential regulator allows Euclidean-type parametric representations without cuts, to all orders in perturbation theory. Moreover, it is identical to another soft factor defined with a single time-ordering that has a natural interpretation as a space-like form factor. Furthermore, this relation continues to hold for a larger class of TMD soft factors that interpolate between three different rapidity regulators: the off-light-cone regulator, the finite light-front length regulator, and the exponential regulator.
AbstractList We show that as a result of causality-constrained coordinate space analyticity, the Drell-Yan-shape transverse-momentum dependent soft factor in the exponential regulator allows Euclidean-type parametric representations without cuts, to all orders in perturbation theory. Moreover, it is identical to another soft factor defined with a single time-ordering that has a natural interpretation as a space-like form factor. Furthermore, this relation continues to hold for a larger class of TMD soft factors that interpolate between three different rapidity regulators: the off-light-cone regulator, the finite light-front length regulator, and the exponential regulator.
A bstract We show that as a result of causality-constrained coordinate space analyticity, the Drell-Yan-shape transverse-momentum dependent soft factor in the exponential regulator allows Euclidean-type parametric representations without cuts, to all orders in perturbation theory. Moreover, it is identical to another soft factor defined with a single time-ordering that has a natural interpretation as a space-like form factor. Furthermore, this relation continues to hold for a larger class of TMD soft factors that interpolate between three different rapidity regulators: the off-light-cone regulator, the finite light-front length regulator, and the exponential regulator.
Abstract We show that as a result of causality-constrained coordinate space analyticity, the Drell-Yan-shape transverse-momentum dependent soft factor in the exponential regulator allows Euclidean-type parametric representations without cuts, to all orders in perturbation theory. Moreover, it is identical to another soft factor defined with a single time-ordering that has a natural interpretation as a space-like form factor. Furthermore, this relation continues to hold for a larger class of TMD soft factors that interpolate between three different rapidity regulators: the off-light-cone regulator, the finite light-front length regulator, and the exponential regulator.
ArticleNumber 30
Author Liu, Yizhuang
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  organization: Institute of Theoretical Physics, Jagiellonian University
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Correlation Functions
Renormalization and Regularization
Higher-Order Perturbative Calculations
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Snippet A bstract We show that as a result of causality-constrained coordinate space analyticity, the Drell-Yan-shape transverse-momentum dependent soft factor in the...
We show that as a result of causality-constrained coordinate space analyticity, the Drell-Yan-shape transverse-momentum dependent soft factor in the...
Abstract We show that as a result of causality-constrained coordinate space analyticity, the Drell-Yan-shape transverse-momentum dependent soft factor in the...
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SubjectTerms Causality
Classical and Quantum Gravitation
Correlation Functions
Elementary Particles
Equality
Euclidean geometry
Form factors
Higher-Order Perturbative Calculations
Light
Perturbation theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Regular Article - Theoretical Physics
Relativity Theory
Renormalization and Regularization
String Theory
Wilson, ’t Hooft and Polyakov loops
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Title Revisiting the time-ordering issue of TMD soft factors: causality, coordinate space analyticity and new equalities
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