Here are some related papers/abstracts you can read:

http://journals.ametsoc.org/doi/abs/10.1175/JCLI-D-14-00388.1

http://journals.ametsoc.org/doi/abs/10.1175/JCLI-D-12-00306.1

http://journals.ametsoc.org/doi/abs/10.1175/WAF-D-15-0011.1

In general, there are a lack of strong and statistically significant relationships between El NIno and the Arabian Peninsula.  But some of these papers indicate that if certain conditions are also observed in the Indian and western Pacific Ocean, then there might be more of a relationship.  The Kang et al. paper suggests there is  a decadally varying relationship between rainfall and El Nino, such that between 1981-2010, El Nino led to more rainfall, but in the decades previous to that (1950-79), there was an opposite relationship (El Nino was related to drier conditions).