Q.This Navajo globe willow is dying why
See picture dying from top doen

Certified GKH Gardening Expert
These plants are vulnerable to many different types of diseases and pests. Here's an article from Arizona State University that may be helpful: http://www.public.asu.edu/~camartin/plants/Plant%20html%20files/salixmatsudana.html
I'm also going to recommend that you contact your local university extension agent to learn more about growing this plant in your area. Here's a link for them: https://www.gardeningknowhow.com/extension-search?zip=81007&radius=50&services_search_action=search&submit=Search