Threshold and RG improved cross sections for Drell-Yan and Higgs productions in N3LO QCD
by
Narayan Rana(Institute of Mathematical Science, India)
→
Europe/Rome
281
281
Description
Precise theoretical predictions for Drell-Yan and the Higgs boson
production play an important role to put the Standard Model of particle
physics in firm footing. Often the fixed order predictions are plagued by
large logarithms resulting from certain kinematical regions or from
unphysical scales such as renormalization and factorization scales. The
solution to this problem is provided by the resummation.
In this talk, we will discuss QCD amplitudes and it's factorization
properties and the role of renormalization group invariance in order to
understand the soft gluon contributions to both the DY and the Higgs boson
productions up to N3LO level for the LHC. Using the universality of the
soft distribution function we obtain the threshold corrections of DY at
N3LO using the results for the Higgs boson production, for the first time.
Also the full N3LO result for the Higgs boson production is recently
available.
These corrections reduce the renormalization scale uncertainties
significantly in the canonical range [mH/4 , 2 mH]. We will present a
novel approach to further reduce the uncertainty arising from the
renormalization scale by systematically resumming the renormalization
group (RG) accessible logarithms to all orders in the strong coupling
constant. We will also demonstrate numerically the improvement over the
fixed order predictions.
