Basics of factorization in a scalar Yukawa field theory

Aslan, Fatma P.; Hernandez, J. Osvaldo Gonzalez; Rainaldi, T.; Rogers, T. C.

doi:10.1103/physrevd.107.074031

Cited by 5 publications

(10 citation statements)

References 56 publications

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“…In ref. [2], the authors studied the accuracy of factorization for the deep-inelastic scattering (DIS) and semi-inclusive DIS structure functions. To do so, they worked with a scalar Yukawa theory given by…”

Section: Motivationmentioning

confidence: 99%

“…An important equation for the present discussion is the factorization of the transversemomentum-dependent (TMD) structure function [2]…”

Section: Motivationmentioning

confidence: 99%

“…These values follow the hierarchy used in the appendix A.4 of ref. [2]. T small and T large correspond to approximations in the computation of Feynman graphs and will be explained later.…”

Section: Motivationmentioning

confidence: 99%

“…Maybe due to the fact that the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation [7][8][9][10], governing the cross sections and UPDFs evolution with x, has no ultraviolet divergence, the precise definition of k 2 max is generally not discussed. It is then not always possible to know if the results presented in phenomenological studies are obtained for k 2 max = ∞, s, or Q 2 , with Q 2 the hard scale. While, in several cases, these three choices lead to numerically close results, we want to discuss situations where a precise and consistent definition of k 2 max does matter.…”

Section: Motivationmentioning

confidence: 99%

“…Here, exact means no factorization: the diagrams of figure 1 can be calculated exactly, see appendix A.4 of ref. [2]. For the k t -factorization calculations presented in figure 2, we used the Kimber-Martin-Ryskin-Watt (KMRW) UPDFs [11,12] computed in the Yukawa theory, 1 see section 5, and, for now, an on-shell hard coefficient.…”

Section: Motivationmentioning

confidence: 99%

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Examination of kt-factorization in a Yukawa theory

Guiot,

van Hameren

2024

J. High Energ. Phys.

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We discuss the upper limit, kmax, of the transverse-momentum integration performed in the kt-factorization formula. Based on explicit calculations in the Yukawa theory and the study of seminal papers, we argue that kmax is equal to the factorization scale μF used to factorize the cross section into an off-shell hard coefficient and a universal factor. There is consequently a relation between kmax and the definition of unintegrated parton densities (UPDFs). The use of an inconsistent relation leads potentially to the overestimation of the cross section, which has been observed, e.g., in D-meson production [1]. One of our conclusions is that UPDFs related to collinear PDFs by an integration up to μ ∼ Q, where Q is the hard scale and μ the scale in the collinear PDFs, imply that $$ {k}_{\textrm{max}}^2 $$ k max 2 ∼ Q2. Integrating the transverse-momentum significantly above may result in the overestimation of the cross section. On the opposite, for UPDFs related to the collinear ones by an integration of the transverse momentum up to infinity, any $$ {k}_{\textrm{max}}^2 $$ k max 2 > Q2 is fine.

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Section: Motivationmentioning

confidence: 99%

“…An important equation for the present discussion is the factorization of the transversemomentum-dependent (TMD) structure function [2]…”

Section: Motivationmentioning

confidence: 99%

“…These values follow the hierarchy used in the appendix A.4 of ref. [2]. T small and T large correspond to approximations in the computation of Feynman graphs and will be explained later.…”

Section: Motivationmentioning

confidence: 99%

Section: Motivationmentioning

confidence: 99%

Section: Motivationmentioning

confidence: 99%

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Examination of kt-factorization in a Yukawa theory

Guiot,

van Hameren

2024

J. High Energ. Phys.

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Full treatment of the thrust distribution in single inclusive e+e− → h X processes

Boglione,

Simonelli

2023

J. High Energ. Phys.

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Extending the transverse momentum dependent factorization to thrust dependent observables entails a series of difficulties, ultimately associated to the behavior of soft radiation. As a consequence, the definition of the transverse momentum dependent functions has to be revised, while preserving (and possibly extending) their universality properties. Moreover, the regularization of the rapidity divergences generates non trivial correlations between rapidity and thrust. In this paper, we show how to deal with these correlations in a consistent treatment of the thrust dependence of e+e− → h X cross section, where the hadron transverse momentum is measured with respect to the thrust axis. In this framework all results obtained in the past few years properly fit together, leading to a remarkable phenomenological description of the experimental measurements.

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