Abstract:
Replace "over the expectation from background" by
"over the expected background" or by
"over the expectation for background".

Replace "the previous world best and further constrains" by
"the previous limit and it further constrains".

Lines 7-8:
Replace "in several of her models that extend the SM, although 
 with rates varying by up to eight orders of magnitude" by
"with predicted rates that vary up to eight orders of magnitude
 in several models that extend the SM". 
(Also "of the" is not needed before "models",
 "although" is misleading, as the rates are still far from the SM,
 "rates" should be clearly linked to "occur".)

Figure 1 caption:
Replace "light (green) line" by "solid green line" 
and "dark (red) line" by "dashed red line".

Line 151-152:
Add "side" to "a negative side tail" and "a positive side tail".
(It is not a negative or positive contribution to the spectrum.)

Tjeerd