We apply the Jansson-Farrar JF12 magnetic field configuration in the context of point source searches by correlating the Telescope Array ultra-high energy cosmic ray data and the IceCube-40 neutrino candidates , as well as other magnetic field hypotheses .
Our field hypotheses are : no magnetic field , the JF12 field considering only the regular component , the JF12 full magnetic field , which is a combination of regular and random field components , and the standard turbulent magnetic field used in previous correlation analyses .
As expected from a neutrino sample such as IceCube-40 , consistent with atmospheric neutrinos , we have found no significant correlation signal in all the cases .
Therefore , this paper is mainly devoted to the comparison of the effect of the different magnetic field hypotheses on the minimum neutrino source flux strength required for a 5 \sigma discovery and the derived 90 \% CL upper limits .
We also incorporate in our comparison the cases of different power law indices \alpha = 2 , \alpha = 2.3 for the neutrino point source flux .
Our results indicate that the discovery potential for a point source search is sensitive to changes in the magnetic field assumptions , being the difference between the models mentioned before between 15 % and 26 % .
Finally , as a collateral result , we implement a novel parameterisation of the JF12 random component .