Intrinsic transverse momentum and evolution in weighted spin asymmetries
Abstract
The transverse momentum-dependent (TMD) and collinear higher twist theoretical factorization frameworks are the most frequently used approaches to describe spin-dependent hard cross sections weighted by and integrated over transverse momentum. Of particular interest is the contribution from small transverse momentum associated with the target bound state. In phenomenological applications, this contribution is often investigated using transverse momentum weighted integrals that sharply regulate the large transverse momentum contribution, for example, with Gaussian parametrizations. Since the result is a kind of hybrid of TMD and collinear (inclusive) treatments, it is important to establish if and how the formalisms are related in applications to weighted integral observables. The suppression of a large transverse momentum tail, for example, can potentially affect the type of evolution that is applicable. We find that a naive version of a widely used identity relating the k 2 T -weighted and integrated Sivers TMD function to a renormalized twist-3 function has strongly ambiguous ultraviolet contributions, and that corrections to it are not necessarily perturbatively suppressed. We discuss the implications for applications, arguing in particular that the relevant evolution for transverse momentum weighted and integrated cross sections with sharp effective large transverse momentum cutoffs is of the TMD form rathermore »
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- Contributing Org.:
- Old Dominion University, Jefferson Lab
- OSTI Identifier:
- 1635125
- Alternate Identifier(s):
- OSTI ID: 1635163; OSTI ID: 1644199; OSTI ID: 1764383
- Report Number(s):
- JLAB-THY-20-3185; DOE/OR-23177-4962
Journal ID: ISSN 2470-0010; PRVDAQ; 116017
- Grant/Contract Number:
- AC05-06OR23177; SC0018106; 11875232
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 101 Journal Issue: 11; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Feynman diagrams; Particle interactions; Perturbation theory; Quantum chromodynamics; Quantum field theory; Quark model; Renormalization; QCD; Perturbation Theory; Transverse Momentum Dependence
Citation Formats
Qiu, Jian-Wei, Rogers, Ted C., and Wang, Bowen. Intrinsic transverse momentum and evolution in weighted spin asymmetries. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.116017.
Qiu, Jian-Wei, Rogers, Ted C., & Wang, Bowen. Intrinsic transverse momentum and evolution in weighted spin asymmetries. United States. https://doi.org/10.1103/PhysRevD.101.116017
Qiu, Jian-Wei, Rogers, Ted C., and Wang, Bowen. Thu .
"Intrinsic transverse momentum and evolution in weighted spin asymmetries". United States. https://doi.org/10.1103/PhysRevD.101.116017.
@article{osti_1635125,
title = {Intrinsic transverse momentum and evolution in weighted spin asymmetries},
author = {Qiu, Jian-Wei and Rogers, Ted C. and Wang, Bowen},
abstractNote = {The transverse momentum-dependent (TMD) and collinear higher twist theoretical factorization frameworks are the most frequently used approaches to describe spin-dependent hard cross sections weighted by and integrated over transverse momentum. Of particular interest is the contribution from small transverse momentum associated with the target bound state. In phenomenological applications, this contribution is often investigated using transverse momentum weighted integrals that sharply regulate the large transverse momentum contribution, for example, with Gaussian parametrizations. Since the result is a kind of hybrid of TMD and collinear (inclusive) treatments, it is important to establish if and how the formalisms are related in applications to weighted integral observables. The suppression of a large transverse momentum tail, for example, can potentially affect the type of evolution that is applicable. We find that a naive version of a widely used identity relating the k 2 T -weighted and integrated Sivers TMD function to a renormalized twist-3 function has strongly ambiguous ultraviolet contributions, and that corrections to it are not necessarily perturbatively suppressed. We discuss the implications for applications, arguing in particular that the relevant evolution for transverse momentum weighted and integrated cross sections with sharp effective large transverse momentum cutoffs is of the TMD form rather than the standard renormalization group evolution of collinear correlation functions.},
doi = {10.1103/PhysRevD.101.116017},
journal = {Physical Review. D.},
number = 11,
volume = 101,
place = {United States},
year = {Thu Jun 25 00:00:00 EDT 2020},
month = {Thu Jun 25 00:00:00 EDT 2020}
}
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Cited by: 11 works
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Figures / Tables:
FIG. 1: Low-order diagrams for AN of Drell-Yan lepton pair production by hard quark-antiquark annihilation: (a) TMD factorization when kT ∼$\mathcal{Q}_T$ ≪ $\mathcal{Q}$ = $\sqrt{q^2}$ . (b) Fixed-order perturbative QCD (pQCD) calculation when $\mathcal{Q}_T$ ∼$\mathcal{Q}$. (c) Twist-3 collinear factorization when kT ≪ $\mathcal{Q}T$ ∼$\mathcal{Q}$.
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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.