https://doi.org/10.1140/epjc/s10052-022-10752-9
Regular Article - Theoretical Physics
Resummed Higgs boson cross section at next-to SV to 
The Institute of Mathematical Sciences, HBNI, IV Cross Road, Taramani, 600113, Chennai, India
Received:
29
October
2021
Accepted:
23
August
2022
Published online:
1
September
2022
We present the resummed predictions for inclusive cross section for the production of Higgs boson at next-to-next-to leading logarithmic (
) accuracy taking into account both soft-virtual (
) and next-to SV (
) threshold logarithms. We derive the N-dependent coefficients and the N-independent constants in Mellin-N space for our study. Using the minimal prescription we perform the inverse Mellin transformation and match it with the corresponding fixed order results. We report in detail the numerical impact of N-independent part of resummed result and explore the ambiguity involved in exponentiating them. By studying the K factors at different logarithmic accuracy, we find that the perturbative expansion shows better convergence improving the reliability of the prediction at 
accuracy. For instance, the cross-section at accuracy reduces by 
as compared to the 
result for the central scale 
at 13 TeV LHC. We also observe that the resummed 
result improves the renormalisation scale uncertainty at every order in perturbation theory. The uncertainty from the renormalisation scale 
ranges between 
at whereas it goes down to 
at accuracy. However, the factorisation scale uncertainty is worsened by the inclusion of these NSV logarithms hinting the importance of resummation beyond terms. We also present our predictions for resummed result at different collider energies.
© The Author(s) 2022
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