scholarly journals Transverse moments of TMD parton densities and ultraviolet divergences

2020 ◽  
Vol 35 (37) ◽  
pp. 2030021
Author(s):  
Ted Rogers

I review some open questions relating to the large transverse momentum divergences in transverse moments of transverse momentum dependent (TMD) parton correlation functions. I also explain, in an abbreviated and summarized form, recent work that shows that the resulting violations of a commonly used integral relation are not perturbatively suppressed. I argue that this implies a need for more precise definitions for the correlation functions used to describe transverse moments.

2014 ◽  
Vol 25 ◽  
pp. 1460007 ◽  
Author(s):  
TED C. ROGERS

We provide an overview of recent investigations into hard processes where the factorization into transverse momentum dependent parton correlation functions breaks down.


2015 ◽  
Vol 37 ◽  
pp. 1560027
Author(s):  
Zhong-Bo Kang ◽  
Alexei Prokudin ◽  
Peng Sun ◽  
Feng Yuan

In this talk, we present our recent work about QCD evolution effect on the transverse momentum dependent(TMD) observables for collins asymmetries in e+e- annihilation to di-hadron and semi-inclusive deep inelastic scattering(SIDIS) processes, by taking into account TMD evolution effect is studied under CSS formalism. Our result shows the evolution effect will bring a significant correction to TMD distributions extracted form experiment data.


Author(s):  
S. MERT AYBAT ◽  
TED C. ROGERS

We discuss the application of transverse momentum dependent (TMD) factorization theorems to phenomenology. Our treatment relies on recent extensions of the Collins-Soper-Sterman (CSS) formalism. Emphasis is placed on the importance of using well-defined TMD parton distribution functions (PDFs) and fragmentation functions (FFs) in calculating the evolution of these objects. We explain how parametrizations of unpolarized TMDs can be obtained from currently existing fixed-scale Gaussian fits and previous implementations of the CSS formalism in the Drell-Yan process, and provide some examples. We also emphasize the importance of agreed-upon definitions for having an unambiguous prescription for calculating higher orders in the hard part, and provide examples of higher order calculations. We end with a discussion of strategies for extending the phenomenological applications of TMD factorization to situations beyond the unpolarized case.


2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
M. Boglione ◽  
A. Simonelli

Abstract Factorizing the cross section for single hadron production in e+e− annihilations is a highly non trivial task when the transverse momentum of the outgoing hadron with respect to the thrust axis is taken into account. We work in a scheme that allows to factorize the e+e−→ H X cross section as a convolution of a calculable hard coefficient and a Transverse Momentum Dependent (TMD) fragmentation function. The result, differential in zh, PT and thrust, will be given to all orders in perturbation theory and explicitly computed to Next to Leading Order (NLO) and Next to Leading Log (NLL) accuracy. The predictions obtained from our computation, applying the simplest and most natural ansatz to model the non-perturbative part of the TMD, are in exceptional agreement with the experimental measurements of the BELLE Collaboration. The factorization scheme we propose relates the TMD parton densities defined in 1-hadron and 2-hadron processes, restoring the possi- bility to perform global phenomenological studies of TMD physics including experimental data from semi-inclusive deep inelastic scattering, Drell-Yan processes, e+e−→ H1H2X and e+e−→ H X annihilations.


2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
Hjalte Frellesvig ◽  
Kirill Kudashkin ◽  
Christopher Wever

2012 ◽  
Vol 20 ◽  
pp. 145-152
Author(s):  
M. ANSELMINO ◽  
M. BOGLIONE ◽  
S. MELIS

Recently, theoretical developments have led to the QCD evolution equations for the unpolarized Transverse Momentum Dependent (TMD) distribution functions and for the Sivers function (TMD-evolution). We tested whether the proposed TMD-evolution can already be observed in the SIDIS data on the Sivers asymmetry. Although very preliminary, our analysis shows that data are compatible with such an evolution with a clear indication of evolution in the x-dependent data subsets.


2020 ◽  
Vol 2020 (7) ◽  
Author(s):  
Alessandro Bacchetta ◽  
Valerio Bertone ◽  
Chiara Bissolotti ◽  
Giuseppe Bozzi ◽  
Filippo Delcarro ◽  
...  

1989 ◽  
Vol 40 (3) ◽  
pp. 1545-1547
Author(s):  
Jayanti Mahalanabis ◽  
P. Bandyopadhyay

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