@@ -383,41 +383,42 @@ def func(y_values_d, y_values_p):
383383
384384def DIS_F2C_pc (pc2_p_nodes , pc2_d_nodes , x , q2 , pc_func_type : str = "step" ):
385385 """
386- Builds the function used to compute the shifts for the charm
387- structure function measured by EMC. The process involved is
386+ Builds the function used to compute the shifts for the charm structure
387+ function measured by EMC. The process involved is
388388
389389 mu^+ + Fe -> mu+^ + c cbar + X .
390390
391- This function works exactly as the previous functions used to
392- compute nuisance shifts. In this case, the constructed function
393- (`func` below) requires two lists of parameters for the proton
394- and the deuteron contribution. The reason being that in this process
395- the muon scatters off an iron target, and the power correction
396- contribution is a mixture of proton and deuteron nucleons. Hence, proton
397- and deuteron contribution are weighted by the appropriate atomic factor.
391+ This function works exactly as the previous functions used to compute
392+ nuisance shifts. In this case, the constructed function (`func` below)
393+ requires two lists of parameters for the proton and the deuteron
394+ contribution. The reason being that in this process the muon scatters off an
395+ iron target, and the power correction contribution is a mixture of proton
396+ and deuteron nucleons. Hence, proton and deuteron contribution are weighted
397+ by the appropriate atomic factor.
398398
399399 Note that we are parametrising power corrections as proton and deuteron
400- targets. If we were to parametrize such contributions using, say, proton
401- and nucleon, than the weights would change.
400+ targets. If we were to parametrize such contributions using, say, proton and
401+ nucleon, than the weights would change.
402402
403403
404404 Nuclear target
405405 --------------
406- The power corrections for nuclear observables, like in this case, are affected
407- by the pc contribution of the protons and that of the neutrons.
408- If we allow for the non-iscoscalarity of the target, and combining the two
409- contributions in accordance with the atomic and mass number (A and Z), the
410- power correction for the nuclear target can be written as (see eq.(4.2.5)
411- in https://nnpdf.mi.infn.it/wp-content/uploads/2021/09/thesis_master_RP.pdf)
406+ The power corrections for nuclear observables, like in this case, are
407+ affected by the pc contribution of the protons and that of the neutrons. If
408+ we allow for the non-isoscalarity of the target, and combine the two
409+ contributions in accordance with the atomic and mass number (A and Z
410+ respectively), the power correction for the nuclear target can be written as
411+ (see eq.(4.2.5) in
412+ https://nnpdf.mi.infn.it/wp-content/uploads/2021/09/thesis_master_RP.pdf)
412413
413414 PC_N = 1/A (Z * PC_p + (A-Z) * PC_n) .
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415416 The deuteron is obtained using the isoscalarity, namely
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417- PC_c = 1/2 (PC_p + PC_n) .
418+ PC_d = 1/2 (PC_p + PC_n) .
418419
419420 Since we parametrise the power corrections of the proton and the deuteron,
420- we can combined the above equations and write
421+ we can combine the above equations and write
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422423 PC_N = 1/A * ( PC_p * (2Z - A) + 2 * PC_d * (A - Z) )
423424
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