Detailed k-Factor Studies Using Inclusive Production of W Bosons in pp Collisions

• Published in: Journal of the Korean Physical Society Vol. 72; no. 11; pp. 1301 - 1306
• Main Author: Ogul, Hasan
• Format: Journal Article
• Language: English
• Published: Seoul The Korean Physical Society 01.06.2018; Springer Nature B.V; 한국물리학회
• Subjects: Bosons; Cross-sections; Distribution functions; Mathematical and Computational Physics; Mathematical models; Particle and Nuclear Physics; Particle collisions; Physics; Physics and Astronomy; Quantum chromodynamics; Quarks; Theoretical; 물리학; PDF; QCD; W boson; Factor
• ISSN: 0374-4884; 1976-8524
• DOI: 10.3938/jkps.72.1301

The theoretical k -Factor describes the difference between leading and higher order cross sections and its proper usage has a crucial importance for theoretical predictions. In this paper, three different ways are considered to define the k -Factor of W bosons at s = 14 TeV in proton-proton collisions. First, we calculate k -Factors using inclusive W ± boson leading order (LO), next-toleading order (NLO) and next-to-next-to-leading order (NNLO) quantum chromodynamics (QCD) cross sections with LO, NLO, NNLO parton distribution function (PDF) models, respectively. The second approach used is the calculation of k -Factors based on LO, NLO and NNLO QCD cross sections with the NNLO PDF model. The last method used here is the calculation of k -Factors using the LO QCD cross section with LO, NLO and NNLO PDF models. We further investigated the dependencies of the k -Factor on the renormalization ( μR ) and the factorization ( μF ) scales, the strong coupling constant ( α s ), the charges of W boson and the collision energy of protons in a range of 7 to 100 TeV.