Vishay datasheet of equivalent part,
https://www.vishay.com/docs/88715/sb110.pdf, Fig. 5, only shows up to rated voltage. I don't know why and how Diodes Inc have characterized the capacitance over the rated reverse voltage.
There is no absolute max breakdown voltage shown in the attached data sheet.
What do you mean? Page 2, maximum ratings, first item. 40V. What difference would you expect with wording "breakdown voltage" instead of "peak reverse voltage"?
Can I use this diode in my circuit with switching transients of reverse volts > ~45V ?
No.
Maximum peak reverse means exactly that. Besides, if you are scoping 45V on a switcher, there will be larger spikes you miss due to limited scope BW or just operating conditions not being worst case when you test (things like output current, duty cycle, temperature, unit-to-unit variations of parts, manufacturing tolerances in parasitics - everything has an effect). As a rough rule of thumb, add at least 20%.