Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 82, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-022-10752-9
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Funding
- computer administrative unit of IMSc
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This study presents the resummed predictions for the production of Higgs boson at NNLL accuracy, considering soft-virtual and next-to soft-virtual threshold logarithms. The perturbative expansion shows better convergence at NNLO+NNLL accuracy, reducing the uncertainty from the renormalisation scale. However, the inclusion of NSV logarithms worsens the uncertainty from the factorisation scale, indicating the importance of resummation beyond NSV terms.
We present the resummed predictions for inclusive cross section for the production of Higgs boson at nextto-next-to leading logarithmic (NNLL) accuracy taking into account both soft-virtual (SV) and next-to SV (NSV) threshold logarithms. We derive the N-dependent coefficients and the N-independent constants in Mellin-N space for our study. Using theminimal prescriptionwe 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 NNLO+ NNLL accuracy. For instance, the cross-section at NNLO + NNLL accuracy reduces by 3.15% as compared to the NNLO result for the central scale mu R = mu F = mH/2 at 13 TeV LHC. We also observe that the resummed SV + NSV result improves the renormalisation scale uncertainty at every order in perturbation theory. The uncertainty from the renormalisation scale mu R ranges between (+8.85%,-10.12%) at NNLO whereas it goes down to (+6.54%,-8.32%) at NNLO+ NNLL accuracy. However, the factorisation scale uncertainty isworsened by the inclusion of these NSV logarithms hinting the importance of resummation beyond NSV terms. We also present our predictions for SV + NSV resummed result at different collider energies.
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