Resummed inclusive cross-section in ADD model at N3LL

Abstract

We present three loop soft-plus-virtual (SV) corrections to the spin-2 production at the Large Hadron Collider (LHC). For this calculation, we make use of the recently computed quark and gluon three loop form factors for the spin-2 production, the universal soft-collinear coefficients as well as the mass factorization kernels. The SV coefficients are presented up to next-to-next-to-next-to leading order (N3LOsv). We also use these coefficients at three loops to compute the resummed prediction for inclusive cross-section to next-to-next-to-next-to leading logarithmic accuracy (N3LL) matched to N3LOsv. We use the standard technique to derive the Mellin N-dependent coefficients and also the N-independent coefficients to achieve the resummation using the minimal prescription matching procedure. Considering the spin-2 propagator in the large extra dimensional (ADD) model, we also study the numerical impact of these three-loop SV corrections as well as the resummed predictions on the di-lepton invariant mass distribution at the 13 TeV LHC. We find that the conventional scale uncertainties in the N3LOsv +N3LL resummed results substantially get reduced to as low as 2% in the high invariant mass region. We also estimate the PDF uncertainties in our predictions that will be useful in the experimental searches for large extra dimensions.

Precision QCD phenomenology of exotic spin-2 search at the LHC

“…At the LHC energies where the parton fluxes are large, the threshold logarithms can give sizeable contribution and through resummation these lead to better perturbative convergence as well as theoretical uncertainties for various processes [20,22,24,[26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. Recently the effect of these large threshold logarithms has been studied in ADD and RS models [44,45] and better perturbative results have been predicted at N 3 LL(NNLL) accuracies. In view of this, we systematically include the threshold resummation effects in DY production for non-universal spin-2 model and present a detailed phenomenological results up to NNLL accuracy.…”

“…The universal resummed exponent in eq. (2.19) can be found from the Mellintransform of the well known universal cusp anomalous dimensions A I p [53][54][55][56][57][58][59][60][61][62][63][64][65][66][67] and constant D I p [20,22,44],…”

Resummed inclusive cross-section in Randall-Sundrum model at NNLO+NNLL

“…The soft function being maximally non-abelian up to three loops, can be extracted from the known Higgs [25,31] and DY [34,42] results. Using these informations, the third order coefficients for the SV corrections have been obtained [83] for generic spin-2 coupling and have been applied to ADD model to predict the DY distribution to N 3 LO. The analytical coefficients can be also used to predict the SV cross-section in the RS graviton production at the same perturbative order.…”

“…Recently we calculated the three loop pieces [83] for generic spin-2 couplings. In this article we use these three-loop coefficients for the third order phenomenological prediction in the RS model.…”

“…Similar accuracy is also available for non-universal spin-2 production [82] where spin-2 couples with different coupling to the SM fields. The first attempt in calculating the SV corrections beyond NNLO can be seen [83] in the context of ADD model in DY invariant mass distribution after the completion of three-loop quark and gluon form factor [84]. The perturbative coefficients are same for any spin-2 production with universal coupling to the SM.…”