Systematic Extraction of Pion Parton Distributions Using Threshold Resummation and Applications to Pion TMDs

Conference · Thu Apr 01 00:00:00 EDT 2021

DOI:https://doi.org/10.2172/1973102· OSTI ID:1973102

Sato, Nobuo ^[1]; Melnitchouk, Wolodymyr ^[1]; Barry, Patrick ^[1]; JI, Chueng ^[2]; Blin, Astrid Hiller ^[1]; Gamberg, Leonard ^[3]

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1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
2. North Carolina A & T State Univ., Greensboro, NC (United States)
3. Pennsylvania State Univ., University Park, PA (United States)

Following our recent Monte Carlo determination of the pion?s PDFs from Drell-Yan (DY) and leading neutron electroproduction data from the Jefferson Lab Angular Momentum (JAM) collaboration, we extend the analysis by including effects from threshold resummation. At higher orders in the strong coupling, ?S, soft gluon emissions cause large logarithmic corrections, which become important in the qq¯ channel of the DY partonic cross section near threshold. These corrections can be summed over all orders of ?S. However, different prescriptions exist for how the threshold resummation is implemented, for instance, using varying levels of approximation in the Minimal Prescription with cosine, expansion, and double Mellin methods. We present the Monte Carlo results of the first simultaneous fit of the valence, sea, and gluon distributions in the pion taking into account the ambiguities in the resummation calculations. The wide ranges of valence distributions at large x and the effective behavior of the valence distribution as x approaches 1 is discussed. While the PDFs are extracted through collinear factorization, we additionally present a dedicated study to the low and large lepton pair transverse momentum distributions (TMDs) in the same DY experimental data. By adjusting the nonperturbative TMD components, we analyze the degree of compatibility between data and theory across all regions of transverse momentum dependence. We attempt to match the description of the low transverse momentum region using Collins-Soper-Sterman (CSS) formalism and the large transverse momentum region, which is best described using collinear factorization.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1973102
• Report Number(s): JLAB-THY-21-3612; DOE/OR/23177-6165
• Resource Relation: Conference: DIS 2021, XXVIII International Workshop on Deep-Inelastic Scattering and Related Subjects, Apr 12 – 16, 2021, Stony Brook, NY
• Country of Publication: United States
• Language: English