The authors compute NNLO quark transverse momentum dependent PDFs and fragmentation functions with the exponential regulator, and extract the two-loop quark jet function needed for N3LL energy-energy correlator resummation.
Transverse momentum resummation in soft-collinear effective theory
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abstract
We present a universal formalism for transverse momentum resummation in the view of soft-collinear effective theory (SCET), and establish the relation between our SCET formula and the well known Collins-Soper-Sterman's pQCD formula at the next-to-leading logarithmic order (NLLO). We also briefly discuss the reformulation of joint resummation in SCET.
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Transverse Parton Distribution and Fragmentation Functions at NNLO: the Quark Case
The authors compute NNLO quark transverse momentum dependent PDFs and fragmentation functions with the exponential regulator, and extract the two-loop quark jet function needed for N3LL energy-energy correlator resummation.