Resummed next-to-soft corrections to rapidity distribution of Higgs boson to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>NNLO</mml:mi><mml:mo>+</mml:mo><mml:mover accent="true"><mml:mi>NNLL</mml:mi><mml:mo stretchy="true">¯</mml:mo></mml:mover></mml:math>
V. Ravindran, Aparna Sankar, Surabhi Tiwari
Abstract
We present the resummed predictions consisting of both soft-virtual (SV) as well as next-to-SV (NSV) threshold logarithms to all orders in perturbative QCD for the rapidity distribution of Higgs boson up to next-to-next-to-leading order plus next-to-next-to-leading-logarithmic $(\mathrm{NNLO}+\overline{\mathrm{NNLL}})$ accuracy at LHC. Using our recent formalism, the resummation is carried out in the double Mellin space by restricting the NSV contributions only from diagonal $gg$ channel. We perform the inverse Mellin transformation using the minimal prescription procedure and match it with the corresponding fixed-order results. We do a detailed analysis of the numerical impact of the resummed result. The K-factor values at different logarithmic accuracy suggest that the prediction for the rapidity distribution converges and becomes more reliable at $\mathrm{NNLO}+\overline{\mathrm{NNLL}}$ order. Further, we observe that the inclusion of resummed NSV contribution improves the renormalization scale uncertainty at every order in perturbation theory. However, the uncertainty due to factorization scale increases by the addition of resummed $\mathrm{SV}+\mathrm{NSV}$ predictions to the fixed-order rapidity distribution.