Web application creation trubble in SharePoint 2013

Hello,

I just have created a host header webApp in SharePoint 2013 (very normal operation) and added an `A or AAA` entry to the forward lookup zones in my dns and i created a site colelction which i cannot open… an authentication window is prompt and when i enter my credentials (as the siteCollection administrator sp_farm) but the window prompts again…
Is that what we call `LoopbackCheck` ?

Here is the details of the webApplication:

I am connected as the administrator of the farm : sp_farm

My domain: sp.local

Name of the web app : Proxym – Intranet

Prot : 80

HostHeader: ProxymIntranet

and all the rest is standard.
In dns, i added `new host A or AAA` named `ProxymIntranet` with `fqdn` `ProxymIntranet.sp.local` and bound it to the ipAdress of my `SharePoint Machine`.

I checked also in the IIS server and i found the `binding to my hostheader on the port 80`…

Finally, can anyone help solve my problem `without modifying the registry` (adding `Disable loopBackCheck DWORD`), because i need a production-env solution not only dev-env solution

Thanks in advance.