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felixhekhorn authored May 2, 2024
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10 changes: 5 additions & 5 deletions docs/source/theory/nonsinglet.rst
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Expand Up @@ -175,17 +175,17 @@ QCD corrections.
- :math:`C_{ns}` is always the leading contribution as correspond
to diagram in which the incoming flavor is coupling directly to the
electroweak boson.
- :math:`C_{g}` is suppressed suppressed by :math:`\mathcal{O}(a_s)`
- :math:`C_{g}` is suppressed by :math:`\mathcal{O}(a_s)`
as the gluon need to radiate a quark-antiquark pair before coupling
with a electroweak boson.
- :math:`C_{ps},C_{v}` are suppressed suppressed by :math:`\mathcal{O}(a_s^2)` or
- :math:`C_{ps},C_{v}` are suppressed by :math:`\mathcal{O}(a_s^2)` or
:math:`\mathcal{O}(a_s^3)` respectively as they are related to diagrams
where the incoming flavor line is not coupling directly with the electroweak boson.


From N3LO an new class of diagrams, called :math:`fl_{11}`, can appear for
the parity conserving structure functions, bot in the quark and gluon sector
:cite:`Larin:1996wd`. In these diagram the incoming and outgoing bosons are
From N3LO on a new class of diagrams, called :math:`fl_{11}`, can appear for
the parity conserving structure functions, both in the quark and gluon sector
:cite:`Larin:1996wd`. In these diagrams the incoming and outgoing bosons are
coupling to different fermion lines (open or in loops) and thus generate
contributions that are not proportional to the coupling squared :math:`g_q^2`,
or its average :math:`\ev{g^2}`, but rather to :math:`\ev{g} g_q` for quarks or
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