Abstract

We study the factorization and resummation of the transverse momentum spectrum of the color sextet and antitriplet scalars produced at the LHC based on soft-collinear effective theory. Compared to $$Z$$ boson and Higgs production, a soft function is required to account for the soft gluon emission from the final-state colored scalar. The soft function is calculated at the next-to-leading order, and the resummation is performed at the approximate next-to-next-to-leading logarithmic accuracy. The non-perturbative effects and PDF uncertainties are also discussed.

Highlights

  • The Large Hadron Collider (LHC) provides a great opportunity to search for new physics beyond the Standard Model (SM)

  • Using the phase space slicing method, the next-to-leading order (NLO) total cross section can be divided into two parts: small qT region denoted by σI, which can be obtained by integrating the differential cross section in Eq (49) in the approximation of neglecting O(qT2/m2φ) terms, and the large qT part denoted by σII, which is infrared safe and can be numerically computed directly

  • The peak of the qT distribution of NNLLapprox + NLO is suppressed by about 3 % for sextet and enhanced by about 25 % for antitriplet

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Summary

Introduction

The Large Hadron Collider (LHC) provides a great opportunity to search for new physics beyond the Standard Model (SM). Resonant production of the color antitriplet scalars and vectors has been calculated at the leading order (LO), respectively, in Refs. [6],the next-to-leading order (NLO) QCD corrections to the production of color sextet and antitriplet scalars have been calculated. The threshold resummation for the production of a color sextet (antitriplet) has been investigated in Ref. [6] achieved the transverse momentum resummation for the production of a colored scalar at the leading logarithmic (LL) level by modifying the CSS formalism. We investigate the transverse momentum resummation in single production of the color sextet (antitriplet) scalars at the LHC with the approximate nextto-next-leading logarithmic (NNLLapprox) accuracy in the framework of the soft-collinear effective theory (SCET) [24,25,26].

Derivation of the factorization formula
ND λ2 Nc2
Running of the new physics coupling
Hard function
Soft function
Scale independence
The qT spectrum of colored scalar at fixed order
Numerical discussion
Conclusion
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