.. _Energy_dependence:


***************
Energy Dependence
***************

.. warning::

   Make sure the systematic are correctly

The main goal is to get :math:`R_{AA}` vs :math:`\Upsilon(1S)p_{T}` and :math:`\left|y\right|`

2.76 TeV PbPb data 150/mub 2011 PbPb data is stored on 2011HiFullTree.root
7 TeV pp data is stored on 40pb_Nov4ReReco.root
run A and run B(part 1), 8.27/pb in total
Missing sqrt(s) energy-dependent corrections (theory?) -> Ramona's
calculation or Interpolation to 2.76 TeV from previous experiments.

.. _Interpolation:

***************
Interpolation
***************

The main idea is to use information from other experiments:
ISR, CDF and CMS at 7.00 TeV.

.. note::
  goal of the project:
  exploit the high statistics 7 (and 8) TeV datasets as reference for
  HI studies (eg  :math:`R_{AA}`), to complement the limited-statistics 2.76 TeV
  pp dataset

  strategy:
  perform interpolations of cross-section  values versus sqrt(s),
  using heuristic parameterizations
  the parameterization used is 
  :math:`\frac{d^{2}\sigma}{dp_{T}dy}=\frac{Ap_{T}}{exp(p_{T}/T)+1}`
  with A and T free parameters in the fit. 

  alternative/complementary ideas:
  use pythia MC generated at different energies?
  use simplified models such as CEM (by Ramona et al)

.. todolist::
  add relevant references:


.. image:: _static/upspp_lhc.png
  :width: 600px

Fitting the three datasets at the three different energies yields




.. cssclass:: right

+---------------------+--------------------+---------------+
| **ISR**             |      **CDF**       |      **CMS**  |
+--------------------+--------------------+---------------+
| |ISRData|           | |CDFData|          |   |CMSData|   |
|                     |                    |               |
| *ISRData*           | *CDFData*          |   *CMSData*   |
+--------------------+--------------------+---------------+
| :math:`A=2.8e-35\pm` |*CDFData*           |   *CMSData*   |
|   1.06e-35          | *CDFData*          |   *CMSData*   |
| T=5.4e-01 5.7e-02   | *CDFData*          |   *CMSData*   |
+--------------------+--------------------+---------------+

.. |ISRData|     image:: _static/ISRData.png
  :width: 350px
.. |CDFData|   image::  _static/CDFData.png
  :width: 400px
.. |CMSData|   image:: _static/CMSData.png
  :width: 350px

.. htmlonly::



.. todolist::

  

.. doctest::

    >>> import math
    >>> print math.sqrt(2.)
    1.41421356237



:ref:`custom_look`.