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Lee, Jungil

Publications and source records attributed to Lee, Jungil.

Covariant calculation of a two-loop test of nonrelativistic QCD factorization

In this work we test the nonrelativistic QCD factorization conjecture for inclusive quarkonium production at two loops by carrying out a covariant calculation of the nonrelativistic quantum chromodynamics (NRQCD) long-distance matrix element (LDME) for a heavy-quark pair in an S-wave, color-octet state to fragment into a heavy-quark pair in a color-singlet state of arbitrary orbital angular momentum. The NRQCD factorization conjecture for the universality of the LDME requires that infrared divergences that it contains be independent of the direction of the Wilson line that appears in its definition. We find this to be the case in our calculation. The results of our calculation differ in some respects from those of a previous calculation that was carried out by Nayak, Qiu, and Sterman using light-cone methods. We have identified the sources of some of these differences. The results of both calculations are consistent with the NRQCD factorization conjecture. However, the general principle that underlies this confirmation of NRQCD factorization at two-loop order has yet to be revealed.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Flow around a helically twisted elliptic cylinder

In the present study, we conduct unsteady three-dimensional simulations of flows around a helically twisted elliptic (HTE) cylinder at the Reynolds numbers of 100 and 3900, based on the free-stream velocity and square root of the product of the lengths of its major and minor axes. A parametric study is conducted for Re = 100 by varying the aspect ratio (AR) of the elliptic cross section and the helical spanwise wavelength (λ). Depending on the values of AR and λ, the flow in the wake contains the characteristic wavelengths of λ, 2λ, 6λ, or even longer than 60λ, showing a wide diversity of flows in the wake due to the shape change. The drag on the optimal (i.e., having lowest drag) HTE cylinder (AR = 1.3 and λ = 3.5d) is lower by 18% than that of the circular cylinder, and its lift fluctuations are zero owing to complete suppression of vortex shedding in the wake. This optimal HTE configuration reduces the drag by 23% for Re = 3900 where the wake is turbulent, showing that the HTE cylinder reduces the mean drag and lift fluctuations for both laminar and turbulent flows.

42 ENGINEERING↗

Fragmentation contributions to J / ψ photoproduction at HERA

Here, we compute leading-power fragmentation corrections to J/ψ photoproduction at DESY HERA, making use of the nonrelativistic QCD factorization approach. Our calculations include parton production cross sections through order α 3 s , fragmentation functions though order α 2 s , and leading logarithms of the transverse momentum divided by the charm-quark mass to all orders in α s . We find that the leading-power fragmentation corrections, beyond those that are included through next-to-leading order in α s , are small relative to the fixed-order contributions through next-to-leading order in α s . Consequently, an important discrepancy remains between the experimental measurements of the J/ψ photoproduction cross section and predictions that make use of nonrelativistic-QCD long-distance matrix elements that are extracted from the J/ψ hadroproduction cross-section and polarization data.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Quark fragmentation into spin-triplet S -wave quarkonium

We compute fragmentation functions for a quark to fragment to a quarkonium through an S-wave spin-triplet heavy quark-antiquark pair. We consider both color-singlet and color-octet heavy quark-antiquark (Q (Q) over bar) pairs. We give results for the case in which the fragmenting quark and the quark that is a constituent of the quarkonium have different flavors and for the case in which these quarks have the same flavors. Our results for the sum over all spin polarizations of the Q (Q) over bar pairs confirm previous results. Our results for longitudinally polarized Q (Q) over bar pairs agree with previous calculations for the same flavor cases and correct an error in a previous calculation for the different-flavor case.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗