Abstract
We discuss how to apply regularization by dimensional reduction for computing hadronic cross sections at next-to-leading order. We analyze the infrared singularity structure, demonstrate that there are no problems with factorization, and show how to use dimensional reduction in conjunction with standard parton distribution functions. We clarify that different versions of dimensional reduction with different infrared and factorization behaviour have been used in the literature. Finally, we give transition rules for translating the various parts of next-to-leading order cross sections from dimensional reduction to other regularization schemes.
Highlights
Progress on the understanding of regularization by dimensional reduction has been achieved in three directions
A mathematically consistent definition avoiding the problem found in Refs. [1, 2] was formulated, and a succinct method to check the symmetry properties of dimensional reduction was developed [3], leading to the verification of supersymmetry in important cases at the two-loop level [4]
This provides the basis of transition rules between various definitions of parameters such as αs or mb and is useful to derive the GUT-scale values of these parameters from the experimental values [6]
Summary
Progress on the understanding of regularization by dimensional reduction has been achieved in three directions. We will discuss the infrared singularity structure and the associated regularization-scheme dependence of all these corrections, provide transition rules between the schemes and show that all singularities factorize In this way we show that the framework of dimensional reduction is completely consistent with factorization, and we show how this scheme can be used to compute hadronic processes in practice. [13,14,15], which was denoted by dr and is equivalent to the four-dimensional helicity (fdh) scheme [16] at one-loop, is mainly used in the context of QCD For the latter version, the infrared singularity structure and transition rules have already been derived [13,14,15]. Appendix A provides explicit results for all relevant splitting functions, and in Appendix B we provide three explicit examples of NLO computations in dred
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
