I still think a 15 volt transformer is to high.
30 Volt, bridge rectified will produce 30 x 1.414=42.42V minus 2 diode Volt drops gives about 41.02 Volts.
The regulation of the VTX-146-050-115 (if that is the one you ordered) is 14%, so maximum off load voltage could be 46.77 Volts.
This is more than the maximum rating of the two smoothing capacitors at 40 Volts!
Even if one allows for copper losses under load, I would think the final unregulated DC voltage will still be too high.
As is often the case, it would be prudent to replace the 40v Electrolytics here anyway, with caps rated 50v or 63v at 105oC.
And possibly the Zener diode.
So would the 15V transformer be ok, if I replace the caps?
What do you think of the proposed wiring?