N-jettiness subtractions for gg → H at subleading power

N-jettiness subtractions provide a general approach for performing fully-differential next-to-next-to-leading order (NNLO) calculations. Since they are based on the physical resolution variable N-jettiness, T[subscript N], subleading power corrections in τ=T[subscript N]/Q, with Q a hard interaction scale, can also be systematically computed. We study the structure of power corrections for 0-jettiness, T[subscript 0], for the gg→H process. Using the soft-collinear effective theory we analytically compute the leading power corrections α[subscript s]τlnτ and α[subscript s][superscript 2]τln][superscript 3]τ (finding partial agreement with a previous result in the literature), and perform a detailed numerical study of the power corrections in the gg, gq, and q[¯ over q] channels. This includes a numerical extraction of the α[subscript s]τ and α[subscript s][superscript 2]τln[superscript 2]τ corrections, and a study of the dependence on the T[subscript 0] definition. Including such power suppressed logarithms significantly reduces the size of missing power corrections, and hence improves the numerical efficiency of the subtraction method. Having a more detailed understanding of the power corrections for both q[¯ over q] and gg initiated processes also provides insight into their universality, and hence their behavior in more complicated processes where they have not yet been analytically calculated.United States. Department of Energy. High Energy Physics Division (Contract DE-AC02-05CH11231)United States. Department of Energy. Office of Nuclear Physics (Contract DE-SC0011090)Deutsche Forschungsgemeinschaft (Emmy-Noether Grant TA 867/1-1()Los Alamos National Laboratory. Laboratory Directed Research and Development Progra