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We present a factorization theorem of the partonic Drell-Yan off-diagonal processes g q ¯ qg → γ ∗ + X in the kinematic threshold regime z = Q 2 / s ̂ → 1 at general subleading powers in the (1 − z) expansion. Focusing on the first order of the expansion (next-to-leading power accuracy with respect to the leading power q q ¯ channel), we validate the bare factorization formula up to O α s 2 . This is achieved by carrying out an explicit calculation of the generalized soft function in d-dimensions using the reduction to master integrals and the differential equations method. The collinear function is a universal object which we compute from an operator matching equation at one-loop level. Next, we integrate the soft and collinear functions over the convolution variables and remove the remaining initial state collinear singularities through PDF renormalization. The resulting expression agrees with the known cross section in the literature. [ABSTRACT FROM AUTHOR]

We sum the leading logarithms α s n ln 2 n − 1 1 − z , n = 1, 2,... , near the kinematic threshold z = m H 2 / s ̂ → 1 at next-to-leading power in the expansion in (1 − z) for Higgs production in gluon fusion. We highlight the new contributions compared to Drell-Yan production in quark-antiquark annihilation and show that the final result can be obtained to all orders by the substitution of the colour factor CF → CA, confirming previous fixed-order results. We also provide a numerical analysis of the next-to-leading power leading logarithms, which indicates that they are numerically relevant. [ABSTRACT FROM AUTHOR]