Bogotá - Ciencias - Maestría en Ciencias - Física · 2026

One loop scattering amplitudes in CHY formalism from the forward limit

The usual methods for observables in quantum field theory (QFT) have had a lot of results, be- tween cross sections, decay rates and other predictions like asymptotic freedom for non-abelian gauge theories, but in the intermediate steps in many observables calculation at loop level, im- plies the introduction of non-physical degrees of freedom, for example the Ghost fields for QCD, to conserve the unitarity for scattering amplitudes or S-matrix elements. another consideration that are re-thinking the usual and successful methods the is increase in difficulty to obtain amplitudes in principle and observables after these computations, the first is the increase of particles, which corresponds a lot of computations with polarization vectors for example, and the second is the quantum and classical corrections (loops in general) at this point the necessity of Ghost fields increases for non-Abelian gauge theories, increases the number of computations in a exponential behavior without recursive simplifications. This problem is not a new history, but for almost three loops there is the possibility to guide hand-written results for some observables. instead in the new age of FCC (future circular- hadron collider), this accuracy is not sufficient. As a simple observation, this new collider needs more energy, and the possibility of new observations is mandatory to analyze and is necessary to extend the number of loops for observables calculation for standard model and beyond standard model theories.