Approximate four-loop QCD corrections to the Higgs-boson production cross section

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.

Section: Threshold Corrections Up To N 3 Lo Svmentioning

confidence: 92%

Resummed inclusive cross-section in ADD model at N3LL

Das

Kumar

Samanta

2020

“…A striking observation was made by Moch and Vogt in [63] (and [31,35]), by studying PEKs of observables in DIS, semi-inclusive e + e − annihilation and DY. They showed that the PEKs demonstrate the enhancement of a single-logarithms at large z to all order in 1 − z.…”

Section: Physical Evolution Kernelmentioning

confidence: 94%

“…For example, the IR structure of multi-leg amplitudes in QCD is well understood beyond two loop level [6,[6][7][8][9] (see [10,11] for a QFT with mixed gauge groups). In addition, we have large number of results for the inclusive cross sections that can shed light on the structure of ∆ I,a,Z , see [12][13][14] for Higgs production and for invariant mass distribution of a pair of lepton in hadron colliders up to third order in QCD see [15][16][17], for complete list see [12,16,[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] for Higgs production in gluon fusion and [15-17, 27-29, 33, 36-44] for Drell-Yan production.…”

Section: Introductionmentioning

confidence: 99%

“…There have been several attempts to achieve this task. A remarkable development was made by Moch and Vogt in [63] (and [31,35]) using the second order results for DIS, semi-inclusive e + e − annihilation and Drell-Yan production of a pair of leptons in hadron collisions, and the physical evolution kernels to find the enhancement of a single-logarithms at large z to all orders in 1 − z. The physical evolution kernel was exploited earlier in the work by [64].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On next to soft threshold corrections to DIS and SIA processes

Ajjath

Mukherjee

Ravindran

et al. 2021

We study the perturbative structure of threshold enhanced logarithms in the coefficient functions of deep inelastic scattering (DIS) and semi-inclusive e+e− annihilation (SIA) processes and setup a framework to sum them up to all orders in perturbation theory. Threshold logarithms show up as the distributions ((1−z)−1 logi(1−z))+ from the soft plus virtual (SV) and as logarithms logi(1−z) from next to SV (NSV) contributions. We use the Sudakov differential and the renormalisation group equations along with the factorisation properties of parton level cross sections to obtain the resummed result which predicts SV as well as next to SV contributions to all orders in strong coupling constant. In Mellin N space, we resum the large logarithms of the form logi(N) keeping 1/N corrections. In particular, the towers of logarithms, each of the form $$ {a}_s^n/{N}^{\alpha }{\log}^{2n-\alpha }(N),{a}_s^n/{N}^{\alpha }{\log}^{2n-1-\alpha }(N)\cdots $$ a s n / N α log 2 n − α N , a s n / N α log 2 n − 1 − α N ⋯ etc for α = 0, 1, are summed to all orders in as.

“…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.…”

Section: Jhep04(2021)111mentioning

confidence: 99%

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

Das

Kumar

Samanta

2021

The complete next-to-next-to leading order (NNLO) QCD correction matched with next-to-next-to leading logarithm (NNLL) has been studied for Drell-Yan production via spin-2 particle at the Large hadron collider (LHC). We consider generic spin-2 particle which couples differently to quarks and gluons (non-universal scenario). The threshold enhanced analytical coefficient has been obtained up to third order using the universal soft function and the process dependent form factors at the same order. We performed a detailed phenomenological analysis and gave a prediction for the 13 TeV LHC for the search of such BSM signature. We found that the resummed result gives sizeable corrections over a wide range of invariant mass of the lepton pair. The scale variation also stabilizes at this order and reduces to 4%. As a by-product, we also provide ingredients for third-order soft-virtual (SV) prediction as well as resummation and study the impact on LHC searches.