Resummed inclusive cross-section in Randall-Sundrum model at NNLO+NNLL
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Received: April 17, 2020 Accepted: June 11, 2020 Published: July 7, 2020
Resummed inclusive cross-section in Randall-Sundrum model at NNLO+NNLL
a
Theoretische Physik 1, Naturwissenschaftlich-Technische Fakult¨ at, Universit¨ at Siegen, Walter-Flex-Strasse 3, 57068 Siegen, Germany b Department of Physics, Indian Institute of Technology Guwahati, Guwahati-781039, Assam, India
E-mail: [email protected], [email protected], [email protected] Abstract: The complete next-to-next-to leading order (NNLO) QCD correction has been studied to the di-lepton invariant mass distribution within the Randall-Sundrum (RS) framework. In addition, the soft-virtual (SV) cross-section at next-to-next-to-next-to leading order (N3 LO) as well as threshold resummation to next-to-next-to leading logarithms (NNLL) level have been presented. The analytical coefficient for SV production has been obtained up to three loops very recently along with the process-dependent coefficients needed to perform resummation up to NNLL. These coefficients are universal for any universal spin-2 model where spin-2 particle couples to the Standard Model (SM) particles with equal strength. We use these coefficients in predicting N3 LO SV results as well as matched NNLO+NNLL results for invariant mass distribution for Drell-Yan (DY) production in RS model. We performed a detailed phenomenological analysis and present our results in terms of mass dependent K-factors for the 13 TeV centre-of-mass energy at the Large Hadron Collider (LHC) for the search of such RS Kaluza-Klein (KK) resonances. The NNLO cross-section adds about 21% correction to the next-to-leading order (NLO) results. We found that the SV correction at the N3 LO order decreases the cross-section by 0.7% near the first KK resonance (M1 = 1500 GeV) whereas the resummed result shows an increment over NNLO by 7% of LO. We performed a detailed analysis including scale variation and parton distribution function (PDF) variations. These new results provide an opportunity to stringently constrain the parameters of the model in particular in the search of heavy spin-2 resonances at the LHC. Keywords: Phenomenological Models, QCD Phenomenology ArXiv ePrint: 2004.03938
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP07(2020)040
JHEP07(2020)040
Goutam Das,a M.C. Kumarb and Kajal Samantab
Contents 1
2 Theoretical framework 2.1 The model 2.2 Drell-Yan invariant mass distribution 2.3 Soft-virtual cross-section 2.4 Threshold resummation
3 3 4 6 7
3 Numerical results 3.1 Fixed order corrections 3.2 Resum result
9 9 15
4 Conclusions
19
1
Introduction
The Standard Model (SM) of particle physics is now well established after the discovery of scalar Higgs boson [1, 2] at the Large Hadron Collider (LHC). The properties of the Higgs boson is being tested at a very high accuracy in the hope of new physics beyond the SM (BSM). A large class of the BSM scenarios are motivated by the large hierarchy between the electroweak symmetry breaking scale and
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