Table 2
Analytical functions fitted to the deabsorbed spectra.
| Description | Abbreviation | Formula dNint/dE | # of parameters |
|
|
|||
| Power law | PL | PL1 | 2 |
| Broken power law | BPL | PL1 × CPL12 | 4 |
| with transition region | |||
| Broken power law with transition region | SEBPL | PL1 × CPL12 × Pile | 6 |
| and super-exponential pile up | |||
| Double broken power law | DBPL | PL1 × CPL12 × CPL23 | 6 |
| with transition region | |||
| Double broken power law | SEDBPL | PL1 × CPL12 × CPL23 × Pile | 8 |
| with super-exponential pile up | |||
Notes. The functions are a power law, a curved power law and a super exponential pile up defined as 
, respectively, where all energies are normalized to 1 TeV. The smoothness parameters fi are held constant and the break energies 
are forced to be positive. Only positive pile up, i.e. Epile > 0, is tested.
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