Power corrections in the N -jettiness subtraction scheme
Radja Boughezal (High Energy Physics Division, Argonne National Laboratory, Argonne, IL, 60439, U.S.A.); Xiaohui Liu (Department of Physics, Beijing Normal University, Beijing, 100875, China, Maryland Center for Fundamental Physics, University of Maryland, College Park, MD, 20742, U.S.A., Center for High-Energy Physics, Peking University, Beijing, 100871, China, Center of Advanced Quantum Studies, Beijing Normal University, Beijing, 100875, China)
; Frank Petriello (High Energy Physics Division, Argonne National Laboratory, Argonne, IL, 60439, U.S.A., Department of Physics & Astronomy, Northwestern University, Evanston, IL, 60208, U.S.A.)
We discuss the leading-logarithmic power corrections in the N -jettiness subtraction scheme for higher-order perturbative QCD calculations. We compute the next-to-leading order power corrections for an arbitrary N -jet process, and we explicitly calculate the power correction through next-to-next-to-leading order for color-singlet production for both q q ¯ $$ q\overline{q} $$ and gg initiated processes. Our results are compact and simple to implement numerically. Including the leading power correction in the N -jettiness subtraction scheme substantially improves its numerical efficiency. We discuss what features of our techniques extend to processes containing final-state jets.