Exploring non-perturbative Sudakov factor via $Z^0$-boson production in $pp$ collisions

Shu-yi Wei

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Exploring non-perturbative Sudakov factor via $Z^0$-boson production in $pp$ collisions

Shu-yi Wei

High Energy Physics - Phenomenology · Submitted 14 Sep 2020

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The parton-momentum-fraction dependence of these free parameters is also studied by comparing the values extracted at different collision energies and different rapidity ranges.

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$Z^0$-boson production at low transverse momentum offers an unique opportunity to explore the non-perturbative Sudakov factor. In this paper, we employ three parameterizations of the non-perturbative Sudakov factor to calculate the $\phi^*$-distribution and compare our results with the ultra precise experimental data. We extract the free parameters in each parameterization with a $\chi^2$ analysis. The parton-momentum-fraction dependence of these free parameters is also studied by comparing the values extracted at different collision energies and different rapidity ranges.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	$Z^0$-boson production at low transverse momentum offers an unique opportunity to explore the non-perturbative Sudakov factor.	background 0.99	0.09	0.07	asserted 0.95
s1	In this paper, we employ three parameterizations of the non-perturbative Sudakov factor to calculate the $\phi^*$-distribution and compare our results with the ultra precise experimental data.	method 0.68	0.96	0.06	asserted 0.98
s2	We extract the free parameters in each parameterization with a $\chi^2$ analysis.	method 0.99	0.96	0.04	asserted 0.99
s3	The parton-momentum-fraction dependence of these free parameters is also studied by comparing the values extracted at different collision energies and different rapidity ranges.	contribution 0.73	0.93	0.09	asserted 0.97

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Original abstract

$Z^0$-boson production at low transverse momentum offers an unique opportunity to explore the non-perturbative Sudakov factor. In this paper, we employ three parameterizations of the non-perturbative Sudakov factor to calculate the $\phi^*$-distribution and compare our results with the ultra precise experimental data. We extract the free parameters in each parameterization with a $\chi^2$ analysis. The parton-momentum-fraction dependence of these free parameters is also studied by comparing the values extracted at different collision energies and different rapidity ranges.

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6 arXiv papers cite this in 7 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 3 sentences without a confident label

Uses its method or tool 1 paper

A different approach to modeling the intrinsic is implemented in the Cascade generator [ref] (“CAS3” in Fig. [ref]), which accounts for the effect of low-energy gluons with a nonperturbative Sudakov form factor [ref] , using the parton branching method [ref] .

Energy-scaling behavior of intrinsic transverse momentum parameters in Drell-Yan simulation · Impact of the collision energy on the intrinsic transverse momentum tunes · 0.83

Cites it as background 3 papers

In CSS and TMD factorization the small -region is described by a contribution of non-perturbative intrinsic transverse momentum of partons inside the hadron and a so-called non-perturbative Sudakov form factor [ref] .

The non-perturbative Sudakov Form Factor and the role of soft gluons · Introduction · 0.89
In addition to testing the SRC universality, there is an even more important issue, we explore the way in which the “SRC-driven” nuclear effects modify the extraction of weak-mixing angle $sin^2θ_W$, which is a key parameter in the electroweak sector of the Standard Model (SM) [ref] .

Nuclear effects in extracting $\sin^2\theta_W$ and a probe for short-range correlations · Introduction · 0.88
Previous studies illustrate the sensitivity of this region to high-order QCD contributions [ref] and include their own treatments of nonperturbative physics effects [ref] .

Energy-scaling behavior of intrinsic transverse momentum parameters in Drell-Yan simulation · Introduction · 0.87

What it cites · 29 sentences without a confident label

Uses the method or tool of 1 paper

In the SIYY parameterization [ref] , an additional logarithmic term is employed.

Universal Non-perturbative Functions for SIDIS and Drell-Yan Processes · Gaussian+Log Fit · 0.80

Uses data or values from 2 papers

At the LHC energy [ref] , the value of $χ^2$ hits the minimum at around $g_a(Q=M_Z,√(s)=7 TeV) ≃2.5$ GeV$^2$.

Measurement of angular correlations in Drell-Yan lepton pairs to probe Z/gamma* boson transverse momentum at sqrt(s)=7 TeV with the ATLAS detector · Gaussian Fit · 0.89
The D0 data [ref] at different rapidities have well confined the minimal $χ^2$ values in the same lake where $g_a (Q=M_Z,√(s)=1.96 TeV) ≃1.3$ GeV$^2$ and $g_b (Q=M_Z,√(s)=1.96 TeV) ≃1.4$.

Precise study of the Z/gamma* boson transverse momentum distribution in ppbar collisions using a novel technique · Gaussian+Log Fit · 0.92

Compares with 3 papers

This value is larger than that extracted with the DWS parameterization in Ref. [ref] which gives $g_a^DWS (Q=M_Z) = 1.8$ GeV$^2$, but is smaller than that extracted with the BLNY parameterization [ref] which gives $g_a^BLNY (Q=M_Z, √(s)=7 TeV) = 3.0$ GeV$^2$.

Tevatron Run-1 Z Boson Data and Collins-Soper-Sterman Resummation Formalism · Gaussian Fit · 0.98
In Fig. [ref], we show our results in the Gaussian+Log fit compared with the ATLAS data [ref] .

Measurement of angular correlations in Drell-Yan lepton pairs to probe Z/gamma* boson transverse momentum at sqrt(s)=7 TeV with the ATLAS detector · Gaussian+Log Fit · 0.99
The values extracted in this work are slightly different with those in Ref. [ref] , which gives $g_a^LY(Q=M_Z,√(s)=1.96 TeV)=2.1$ GeV$^2$ and $g_b^LY(Q=M_Z, √(s)=1.96 TeV)=0.25$ GeV, and also are different with those in a more updated work [ref] , which gives $g_a^LY(Q=M_Z,√(s)=1.96 TeV)=1.9$ GeV$^2$ and $g_b^LY(Q=M_Z, √(s)=1.96 TeV)=0.046$ GeV.

The Nonperturbative Regime in QCD Resummation for Gauge Boson Production at Hadron Colliders · Gaussian+Linear Fit · 1.00

Cites as support 2 papers

It has been shown in Refs. [ref] the measurements on the $ϕ^*$-distribution are extremely precise, which makes it possible to explore non-perturbative physics from $Z^0$-boson production.

Precise study of the Z/gamma* boson transverse momentum distribution in ppbar collisions using a novel technique · Introduction · 0.97
It has been shown in Refs. [ref] the measurements on the $ϕ^*$-distribution are extremely precise, which makes it possible to explore non-perturbative physics from $Z^0$-boson production.

Measurement of angular correlations in Drell-Yan lepton pairs to probe Z/gamma* boson transverse momentum at sqrt(s)=7 TeV with the ATLAS detector · Introduction · 0.97

Cites as background 36 papers

Several parameterizations [ref] have been proposed for the non-perturbative Sudakov factor, where the values of the corresponding parameters are extracted from a global analysis to the expermental measurements of SIDIS [ref] and Drell-Yan process [ref] .

Transverse momentum cross section of $e^+e^-$ pairs in the $Z$-boson region from $p\bar{p}$ collisions at $\sqrt{s}=1.96$ TeV · Introduction · 0.90
Several parameterizations [ref] have been proposed for the non-perturbative Sudakov factor, where the values of the corresponding parameters are extracted from a global analysis to the expermental measurements of SIDIS [ref] and Drell-Yan process [ref] .

The Nonperturbative Regime in QCD Resummation for Gauge Boson Production at Hadron Colliders · Introduction · 0.90
Several parameterizations [ref] have been proposed for the non-perturbative Sudakov factor, where the values of the corresponding parameters are extracted from a global analysis to the expermental measurements of SIDIS [ref] and Drell-Yan process [ref] .

Measurement of the transverse momentum distribution of Z/gamma* bosons in proton-proton collisions at sqrt(s)=7 TeV with the ATLAS detector · Introduction · 0.90

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