XML Model definitions for Likelihood

Here are example model definitions for Likelihood. Descriptions of the spectral models are described in the Workbook. See the Likelihood tutorial. An xml file containing these examples is attached.

PowerLaw

  <source name="PowerLaw_source" type="PointSource">
<!-- point source units are cm^-2 s^-1 MeV^-1 -->
    <spectrum type="PowerLaw">
      <parameter free="1" max="1000.0" min="0.001" name="Prefactor" scale="1e-09" value="1"/>
      <parameter free="1" max="-1.0" min="-5." name="Index" scale="1.0" value="-2.1"/>
      <parameter free="0" max="2000.0" min="30.0" name="Scale" scale="1.0" value="100.0"/>
    </spectrum>
    <spatialModel type="SkyDirFunction">
      <parameter free="0" max="360." min="-360." name="RA" scale="1.0" value="83.45"/>
      <parameter free="0" max="90." min="-90." name="DEC" scale="1.0" value="21.72"/>
    </spatialModel>
  </source>

BrokenPowerLaw

  <source name="BrokenPowerLaw_source" type="PointSource">
<!-- point source units are cm^-2 s^-1 MeV^-1 -->
    <spectrum type="BrokenPowerLaw">
      <parameter free="1" max="1000.0" min="0.001" name="Prefactor" scale="1e-09" value="1"/>
      <parameter free="1" max="-1.0" min="-5." name="Index1" scale="1.0" value="-1.8"/>
      <parameter free="1" max="2000.0" min="30.0" name="BreakValue" scale="1.0" value="1000.0"/>
      <parameter free="1" max="-1.0" min="-5." name="Index2" scale="1.0" value="-2.3"/>
    </spectrum>
    <spatialModel type="SkyDirFunction">
      <parameter free="0" max="360." min="-360." name="RA" scale="1.0" value="83.45"/>
      <parameter free="0" max="90." min="-90." name="DEC" scale="1.0" value="21.72"/>
    </spatialModel>
  </source>

PowerLaw2

  <source name="PowerLaw2_source" type="PointSource">
<!-- point source units are cm^-2 s^-1 MeV^-1 -->
    <spectrum type="PowerLaw2">
      <parameter free="1" max="1000.0" min="1e-05" name="Integral" scale="1e-06" value="1.0"/>
      <parameter free="1" max="-1.0" min="-5.0" name="Index" scale="1.0" value="-2.0"/>
      <parameter free="0" max="200000.0" min="20.0" name="LowerLimit" scale="1.0" value="20.0"/>
      <parameter free="0" max="200000.0" min="20.0" name="UpperLimit" scale="1.0" value="2e5"/>
    </spectrum>
    <spatialModel type="SkyDirFunction">
      <parameter free="0" max="360." min="-360." name="RA" scale="1.0" value="83.45"/>
      <parameter free="0" max="90." min="-90." name="DEC" scale="1.0" value="21.72"/>
    </spatialModel>
  </source>

BrokenPowerLaw2

  <source name="BrokenPowerLaw2_source" type="PointSource">
<!-- point source units are cm^-2 s^-1 MeV^-1 -->
    <spectrum type="BrokenPowerLaw2">
      <parameter free="1" max="1000.0" min="0.001" name="Integral" scale="1e-04" value="1.0"/>
      <parameter free="1" max="-1.0" min="-5.0" name="Index1" scale="1.0" value="-1.8"/>
      <parameter free="1" max="-1.0" min="-5.0" name="Index2" scale="1.0" value="-2.3"/>
      <parameter free="1" max="10000.0" min="30.0" name="BreakValue" scale="1.0" value="1000.0"/>
      <parameter free="0" max="200000.0" min="20.0" name="LowerLimit" scale="1.0" value="20.0"/>
      <parameter free="0" max="200000.0" min="20.0" name="UpperLimit" scale="1.0" value="2e5"/>
    </spectrum>
    <spatialModel type="SkyDirFunction">
      <parameter free="0" max="360." min="-360." name="RA" scale="1.0" value="83.45"/>
      <parameter free="0" max="90." min="-90." name="DEC" scale="1.0" value="21.72"/>
    </spatialModel>
  </source>

LogParabola

  <source name="LogParabola_source" type="PointSource">
<!-- point source units are cm^-2 s^-1 MeV^-1 -->
    <spectrum type="LogParabola">
      <parameter free="1" max="1000.0" min="0.001" name="norm" scale="1e-9" value="1"/>
      <parameter free="1" max="10" min="0" name="alpha" scale="1.0" value="1"/>
      <parameter free="1" max="1e4" min="20" name="Eb" scale="1" value="300."/>
      <parameter free="1" max="10" min="0" name="beta" scale="1.0" value="2"/>
    </spectrum>
    <spatialModel type="SkyDirFunction">
      <parameter free="0" max="360." min="-360." name="RA" scale="1.0" value="83.45"/>
      <parameter free="0" max="90." min="-90." name="DEC" scale="1.0" value="21.72"/>
    </spatialModel>
  </source>

ExpCutoff

  <source name="ExpCutoff_source" type="PointSource">
<!-- point source units are cm^-2 s^-1 MeV^-1 -->
    <spectrum type="ExpCutoff">
      <parameter free="1" max="100000.0" min="0.01" name="Prefactor" scale="1e-09" value="50"/>
      <parameter free="1" max="-1.0" min="-5." name="Index" scale="1.0" value="-2.1"/>
      <parameter free="0" max="2000.0" min="30.0" name="Scale" scale="1.0" value="100.0"/>
      <parameter free="1" max="300.0" min="1.0" name="Ebreak" scale="1.0" value="10.0"/>
      <parameter free="1" max="300.0" min="0.1" name="P1" scale="1000.0" value="100."/>
      <parameter free="0" max="1.0" min="-1.0" name="P2" scale="1.0" value="0"/>
      <parameter free="0" max="1.0" min="-1.0" name="P3" scale="1.0" value="0"/>
    </spectrum>
    <spatialModel type="SkyDirFunction">
      <parameter free="0" max="360." min="-360." name="RA" scale="1.0" value="83.45"/>
      <parameter free="0" max="90." min="-90." name="DEC" scale="1.0" value="21.72"/>
    </spatialModel>
  </source>

BPLExpCutoff

  <source name="BPLExpCutoff_source" type="PointSource">
<!-- point source units are cm^-2 s^-1 MeV^-1 -->
    <spectrum type="BPLExpCutoff">
      <parameter free="1" max="100000.0" min="0.01" name="Prefactor" scale="1e-09" value="1"/>
      <parameter free="1" max="-1.001" min="-5." name="Index1" scale="1.0" value="-2.1"/>
      <parameter free="1" max="-1.001" min="-5." name="Index2" scale="1.0" value="-2.1"/>
      <parameter free="1" max="10000.0" min="1.0" name="BreakValue" scale="1.0" value="1000.0"/>
      <parameter free="1" max="300.0" min="1.0" name="Eabs" scale="1.0" value="10.0"/>
      <parameter free="1" max="300.0" min="0.1" name="P1" scale="1000.0" value="100."/>
    </spectrum>
    <spatialModel type="SkyDirFunction">
      <parameter free="0" max="360." min="-360." name="RA" scale="1.0" value="83.45"/>
      <parameter free="0" max="90." min="-90." name="DEC" scale="1.0" value="21.72"/>
    </spatialModel>
  </source>

Gaussian

  <source name="Gaussian_source" type="PointSource">
<!-- point source units are cm^-2 s^-1 MeV^-1 -->
    <spectrum type="Gaussian">
      <parameter free="1" max="1000.0" min="0.001" name="Prefactor" scale="1e-09" value="1"/>
      <parameter free="1" max="1e5" min="1e3" name="Mean" scale="1.0" value="7e4"/>
      <parameter free="1" max="30" min="1e4" name="Sigma" scale="1.0" value="1e3"/>
    </spectrum>
    <spatialModel type="SkyDirFunction">
      <parameter free="0" max="360." min="-360." name="RA" scale="1.0" value="83.45"/>
      <parameter free="0" max="90." min="-90." name="DEC" scale="1.0" value="21.72"/>
    </spatialModel>
  </source>

ConstantValue

  <source name="ConstantValue_source" type="PointSource">
<!-- point source units are cm^-2 s^-1 MeV^-1 -->
    <spectrum type="ConstantValue">
      <parameter free="0" max="10" min="0" name="Value" scale="1" value="1"/>
    </spectrum>
    <spatialModel type="SkyDirFunction">
      <parameter free="0" max="360." min="-360." name="RA" scale="1.0" value="83.45"/>
      <parameter free="0" max="90." min="-90." name="DEC" scale="1.0" value="21.72"/>
    </spatialModel>
  </source>

FileFunction

  <source name="FileFunction_source" type="PointSource">
<!-- point source units are cm^-2 s^-1 MeV^-1 -->
    <spectrum file="foo.dat" type="FileFunction">
      <parameter free="1" max="1e5" min="1e-5" name="Normalization" scale="1" value="1.0"/>
    </spectrum>
    <spatialModel type="SkyDirFunction">
      <parameter free="0" max="360." min="-360." name="RA" scale="1.0" value="83.45"/>
      <parameter free="0" max="90." min="-90." name="DEC" scale="1.0" value="21.72"/>
    </spatialModel>
  </source>

BandFunction

  <source name="BandFunction_source" type="PointSource">
<!-- point source units are cm^-2 s^-1 MeV^-1 -->
    <spectrum type="BandFunction">
      <parameter free="1" max="1000.0" min="1e-05" name="norm" scale="1e-09" value="1.0"/>
      <parameter free="1" max="-1.0" min="-5.0" name="alpha" scale="1.0" value="-1.8"/>
      <parameter free="1" max="-1.0" min="-5.0" name="beta" scale="1.0" value="-2.5"/>
      <parameter free="1" max="-1.0" min="-5.0" name="Ep" scale="1." value="0.1"/>
    </spectrum>
    <spatialModel type="SkyDirFunction">
      <parameter free="0" max="360." min="-360." name="RA" scale="1.0" value="83.45"/>
      <parameter free="0" max="90." min="-90." name="DEC" scale="1.0" value="21.72"/>
    </spatialModel>
  </source>

PLSuperExpCutoff

  <source name="PLSuperExpCutoff_source" type="PointSource">
<!-- point source units are cm^-2 s^-1 MeV^-1 -->
    <spectrum type="PLSuperExpCutoff">
      <parameter free="1" max="1000" min="1e-05" name="Prefactor" scale="1e-07" value="1"/>
      <parameter free="1" max="0" min="-5" name="Index1" scale="1" value="-1.7"/>
      <parameter free="0" max="1000" min="50" name="Scale" scale="1" value="200"/>
      <parameter free="1" max="30000" min="500" name="Cutoff" scale="1" value="3000"/>
      <parameter free="1" max="5" min="0" name="Index2" scale="1" value="1.5"/>
    </spectrum>
    <spatialModel type="SkyDirFunction">
      <parameter free="0" max="360." min="-360." name="RA" scale="1.0" value="83.45"/>
      <parameter free="0" max="90." min="-90." name="DEC" scale="1.0" value="21.72"/>
    </spatialModel>
  </source>

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