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0001 // 0002 // APFEL++ 2017 0003 // 0004 // Author: Valerio Bertone: valerio.bertone@cern.ch 0005 // 0006 0007 #pragma once 0008 0009 #include "apfel/grid.h" 0010 #include "apfel/dglap.h" 0011 #include "apfel/observable.h" 0012 #include "apfel/disbasis.h" 0013 #include "apfel/dglapbuilder.h" 0014 0015 namespace apfel 0016 { 0017 /** 0018 * @brief Structure that contains all the precomputed quantities 0019 * needed to compute the DIS structure functions, i.e. the 0020 * perturbative coefficients of the coefficient functions for 0021 * F<SUB>2</SUB>, F<SUB>L</SUB>, and xF<SUB>3</SUB>. 0022 */ 0023 struct StructureFunctionObjects 0024 { 0025 int nf; 0026 DglapObjects P; 0027 std::vector<int> skip; 0028 std::map<int, ConvolutionMap> ConvBasis; 0029 std::map<int, Set<Operator>> C0; 0030 std::map<int, Set<Operator>> C1; 0031 std::map<int, Set<Operator>> C2; 0032 std::map<int, Set<Operator>> C3; 0033 }; 0034 0035 /** 0036 * @name DIS structure function object initializers 0037 * Collection of functions that initialise StructureFunctionObjects 0038 * structure for the different kinds of structure functions 0039 * available. 0040 */ 0041 ///@{ 0042 /** 0043 * @brief The InitializeF2NCObjectsZM precomputes the perturbative 0044 * coefficients of coefficient functions for NC F2 in the ZM scheme 0045 * and store them in the 'StructureFunctionObjects' structure. 0046 * @param g: the x-space grid 0047 * @param Thresholds: the heavy quark thresholds 0048 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0049 * @return A StructureFunctionObjects-valued function 0050 */ 0051 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeF2NCObjectsZM(Grid const& g, 0052 std::vector<double> const& Thresholds, 0053 double const& IntEps = 1e-5); 0054 0055 /** 0056 * @brief The InitializeFLNCObjectsZM precomputes the perturbative 0057 * coefficients of coefficient functions for NC FL in the ZM scheme 0058 * and store them in the 'StructureFunctionObjects' structure. 0059 * @param g: the x-space grid 0060 * @param Thresholds: the heavy quark thresholds 0061 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0062 * @return A StructureFunctionObjects-valued function 0063 */ 0064 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeFLNCObjectsZM(Grid const& g, 0065 std::vector<double> const& Thresholds, 0066 double const& IntEps = 1e-5); 0067 0068 /** 0069 * @brief The InitializeF3NCObjectsZM precomputes the perturbative 0070 * coefficients of coefficient functions for NC xF3 in the ZM scheme 0071 * and store them in the 'StructureFunctionObjects' structure. 0072 * @param g: the x-space grid 0073 * @param Thresholds: the heavy quark thresholds 0074 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0075 * @return A StructureFunctionObjects-valued function 0076 */ 0077 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeF3NCObjectsZM(Grid const& g, 0078 std::vector<double> const& Thresholds, 0079 double const& IntEps = 1e-5); 0080 0081 /** 0082 * @brief The Initializeg4NCObjectsZM precomputes the perturbative 0083 * coefficients of coefficient functions for NC g4 in the ZM scheme 0084 * and store them in the 'StructureFunctionObjects' structure. 0085 * @param g: the x-space grid 0086 * @param Thresholds: the heavy quark thresholds 0087 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0088 * @return A StructureFunctionObjects-valued function 0089 */ 0090 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> Initializeg4NCObjectsZM(Grid const& g, 0091 std::vector<double> const& Thresholds, 0092 double const& IntEps = 1e-5); 0093 0094 /** 0095 * @brief The InitializegLNCObjectsZM precomputes the perturbative 0096 * coefficients of coefficient functions for NC gL in the ZM scheme 0097 * and store them in the 'StructureFunctionObjects' structure. 0098 * @param g: the x-space grid 0099 * @param Thresholds: the heavy quark thresholds 0100 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0101 * @return A StructureFunctionObjects-valued function 0102 */ 0103 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializegLNCObjectsZM(Grid const& g, 0104 std::vector<double> const& Thresholds, 0105 double const& IntEps = 1e-5); 0106 0107 /** 0108 * @brief The Initializeg1NCObjectsZM precomputes the perturbative 0109 * coefficients of coefficient functions for NC xg1 in the ZM scheme 0110 * and store them in the 'StructureFunctionObjects' structure. 0111 * @param g: the x-space grid 0112 * @param Thresholds: the heavy quark thresholds 0113 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0114 * @return A StructureFunctionObjects-valued function 0115 */ 0116 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> Initializeg1NCObjectsZM(Grid const& g, 0117 std::vector<double> const& Thresholds, 0118 double const& IntEps = 1e-5); 0119 0120 /** 0121 * @brief The InitializeF2CCPlusObjectsZM precomputes the perturbative 0122 * coefficients of coefficient functions for combination ( F2(nu) + 0123 * F2(nubar) ) / 2 in the ZM scheme and store them in the 0124 * 'StructureFunctionObjects' structure. 0125 * @param g: the x-space grid 0126 * @param Thresholds: the heavy quark thresholds 0127 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0128 * @return A StructureFunctionObjects-valued function 0129 */ 0130 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeF2CCPlusObjectsZM(Grid const& g, 0131 std::vector<double> const& Thresholds, 0132 double const& IntEps = 1e-5); 0133 0134 /** 0135 * @brief The InitializeF2CCMinusObjectsZM precomputes the perturbative 0136 * coefficients of coefficient functions for combination ( F2(nu) - 0137 * F2(nubar) ) / 2 in the ZM scheme and store them in the 0138 * 'StructureFunctionObjects' structure. 0139 * @param g: the x-space grid 0140 * @param Thresholds: the heavy quark thresholds 0141 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0142 * @return A StructureFunctionObjects-valued function 0143 */ 0144 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeF2CCMinusObjectsZM(Grid const& g, 0145 std::vector<double> const& Thresholds, 0146 double const& IntEps = 1e-5); 0147 0148 /** 0149 * @brief The InitializeFLCCPlusObjectsZM precomputes the perturbative 0150 * coefficients of coefficient functions for combination ( FL(nu) + 0151 * FL(nubar) ) / 2 in the ZM scheme and store them in the 0152 * 'StructureFunctionObjects' structure. 0153 * @param g: the x-space grid 0154 * @param Thresholds: the heavy quark thresholds 0155 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0156 * @return A StructureFunctionObjects-valued function 0157 */ 0158 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeFLCCPlusObjectsZM(Grid const& g, 0159 std::vector<double> const& Thresholds, 0160 double const& IntEps = 1e-5); 0161 0162 /** 0163 * @brief The InitializeFLCCMinusObjectsZM precomputes the perturbative 0164 * coefficients of coefficient functions for combination ( FL(nu) - 0165 * FL(nubar) ) / 2 in the ZM scheme and store them in the 0166 * 'StructureFunctionObjects' structure. 0167 * @param g: the x-space grid 0168 * @param Thresholds: the heavy quark thresholds 0169 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0170 * @return A StructureFunctionObjects-valued function 0171 */ 0172 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeFLCCMinusObjectsZM(Grid const& g, 0173 std::vector<double> const& Thresholds, 0174 double const& IntEps = 1e-5); 0175 0176 /** 0177 * @brief The InitializeF3CCPlusObjectsZM precomputes the perturbative 0178 * coefficients of coefficient functions for combination ( F3(nu) + 0179 * F3(nubar) ) / 2 in the ZM scheme and store them in the 0180 * 'StructureFunctionObjects' structure. 0181 * @param g: the x-space grid 0182 * @param Thresholds: the heavy quark thresholds 0183 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0184 * @return A StructureFunctionObjects-valued function 0185 */ 0186 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeF3CCPlusObjectsZM(Grid const& g, 0187 std::vector<double> const& Thresholds, 0188 double const& IntEps = 1e-5); 0189 0190 /** 0191 * @brief The InitializeF3CCMinusObjectsZM precomputes the perturbative 0192 * coefficients of coefficient functions for combination ( F3(nu) - 0193 * F3(nubar) ) / 2 in the ZM scheme and store them in the 0194 * 'StructureFunctionObjects' structure. 0195 * @param g: the x-space grid 0196 * @param Thresholds: the heavy quark thresholds 0197 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0198 * @return A StructureFunctionObjects-valued function 0199 */ 0200 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeF3CCMinusObjectsZM(Grid const& g, 0201 std::vector<double> const& Thresholds, 0202 double const& IntEps = 1e-5); 0203 0204 /** 0205 * @brief The InitializeF2NCObjectsMassive precomputes the 0206 * perturbative coefficients of coefficient functions for NC F2 in 0207 * the massive scheme and store them in the 0208 * 'StructureFunctionObjects' structure. 0209 * @param g: the x-space grid 0210 * @param Masses: the heavy quark masses 0211 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0212 * @param nxi: the number of nodes of the grid in ξ = Q<SUP>2</SUP>/M<SUP>2</SUP> (default: 150) 0213 * @param ximin: the lower bound of the grid in ξ (default: 0.05) 0214 * @param ximax: the upper bound of the grid in ξ (default: 10000) 0215 * @param intdeg: the interpolation degree on the grid in ξ (default: 3) 0216 * @param lambda: the value of the parameter in the function ln(ln(ξ/Λ<SUP>2</SUP>)) used for the tabulation (default: 0.0005) 0217 * @param IModThr: parameter of the threshold part of the approximated N3LO coefficient functions (default: zero) 0218 * @param IModAsy: parameter of the asymptotic part of the approximated N3LO coefficient functions (default: zero) 0219 * @param DampPow: power of the damping factor of the approximated N3LO coefficient functions (default: one) 0220 * @return A StructureFunctionObjects-valued function 0221 */ 0222 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeF2NCObjectsMassive(Grid const& g, 0223 std::vector<double> const& Masses, 0224 double const& IntEps = 1e-5, 0225 int const& nxi = 150, 0226 double const& ximin = 0.05, 0227 double const& ximax = 10000, 0228 int const& intdeg = 3, 0229 double const& lambda = 0.0005, 0230 double const& IModThr = 0, 0231 double const& IModAsy = 0, 0232 double const& DampPow = 1); 0233 0234 /** 0235 * @brief The InitializeFLNCObjectsMassive precomputes the 0236 * perturbative coefficients of coefficient functions for NC FL in 0237 * the massive scheme and store them in the 0238 * 'StructureFunctionObjects' structure. 0239 * @param g: the x-space grid 0240 * @param Masses: the heavy quark masses 0241 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0242 * @param nxi: the number of nodes of the grid in ξ = Q<SUP>2</SUP>/M<SUP>2</SUP> (default: 150) 0243 * @param ximin: the lower bound of the grid in ξ (default: 0.05) 0244 * @param ximax: the upper bound of the grid in ξ (default: 10000) 0245 * @param intdeg: the interpolation degree on the grid in ξ (default: 3) 0246 * @param lambda: the value of the parameter in the function ln(ln(ξ/Λ<SUP>2</SUP>)) used for the tabulation (default: 0.0005) 0247 * @param IModThr: parameter of the threshold part of the approximated N3LO coefficient functions (default: zero) 0248 * @param IModAsy: parameter of the asymptotic part of the approximated N3LO coefficient functions (default: zero) 0249 * @param DampPow: power of the damping factor of the approximated N3LO coefficient functions (default: one) 0250 * @return A StructureFunctionObjects-valued function 0251 */ 0252 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeFLNCObjectsMassive(Grid const& g, 0253 std::vector<double> const& Masses, 0254 double const& IntEps = 1e-5, 0255 int const& nxi = 150, 0256 double const& ximin = 0.05, 0257 double const& ximax = 10000, 0258 int const& intdeg = 3, 0259 double const& lambda = 0.0005, 0260 double const& IModThr = 0, 0261 double const& IModAsy = 0, 0262 double const& DampPow = 1); 0263 0264 /** 0265 * @brief The InitializeF2NCObjectsMassiveZero precomputes the 0266 * perturbative coefficients of coefficient functions for NC F2 in 0267 * the massless limit of the massive scheme and store them in the 0268 * 'StructureFunctionObjects' structure. 0269 * @param g: the x-space grid 0270 * @param Masses: the heavy quark masses 0271 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0272 * @param nxi: the number of nodes of the grid in ξ = Q<SUP>2</SUP>/M<SUP>2</SUP> (default: 150) 0273 * @param ximin: the lower bound of the grid in ξ (default: 0.05) 0274 * @param ximax: the upper bound of the grid in ξ (default: 10000) 0275 * @param intdeg: the interpolation degree on the grid in ξ (default: 3) 0276 * @param lambda: the value of the parameter in the function ln(ln(ξ/Λ<SUP>2</SUP>)) used for the tabulation (default: 0.0005) 0277 * @return A StructureFunctionObjects-valued function 0278 */ 0279 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeF2NCObjectsMassiveZero(Grid const& g, 0280 std::vector<double> const& Masses, 0281 double const& IntEps = 1e-5, 0282 int const& nxi = 150, 0283 double const& ximin = 0.05, 0284 double const& ximax = 10000, 0285 int const& intdeg = 3, 0286 double const& lambda = 0.0005); 0287 0288 /** 0289 * @brief The InitializeFLNCObjectsMassiveZero precomputes the 0290 * perturbative coefficients of coefficient functions for NC FL in 0291 * the massless limit of the massive scheme and store them in the 0292 * 'StructureFunctionObjects' structure. 0293 * @param g: the x-space grid 0294 * @param Masses: the heavy quark masses 0295 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0296 * @param nxi: the number of nodes of the grid in ξ = Q<SUP>2</SUP>/M<SUP>2</SUP> (default: 150) 0297 * @param ximin: the lower bound of the grid in ξ (default: 0.05) 0298 * @param ximax: the upper bound of the grid in ξ (default: 10000) 0299 * @param intdeg: the interpolation degree on the grid in ξ (default: 3) 0300 * @param lambda: the value of the parameter in the function ln(ln(ξ/Λ<SUP>2</SUP>)) used for the tabulation (default: 0.0005) 0301 * @return A StructureFunctionObjects-valued function 0302 */ 0303 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeFLNCObjectsMassiveZero(Grid const& g, 0304 std::vector<double> const& Masses, 0305 double const& IntEps = 1e-5, 0306 int const& nxi = 150, 0307 double const& ximin = 0.05, 0308 double const& ximax = 10000, 0309 int const& intdeg = 3, 0310 double const& lambda = 0.0005); 0311 ///@} 0312 0313 /** 0314 * @name SIA structure function object initializers 0315 * Collection of functions that initialise StructureFunctionObjects 0316 * structure for the different kinds of structure functions 0317 * available. 0318 * @note For now only Zero-Mass structure functions up to 0319 * O(α<SUB>s</SUB>) are implemented. 0320 */ 0321 ///@{ 0322 /** 0323 * @brief The InitializeF2NCObjectsZMT precomputes the perturbative 0324 * coefficients of coefficient functions for NC F2 for SIA in the ZM 0325 * scheme and store them in the 'StructureFunctionObjects' 0326 * structure. 0327 * @param g: the x-space grid 0328 * @param Thresholds: the heavy quark thresholds 0329 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0330 * @return A StructureFunctionObjects-valued function 0331 */ 0332 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeF2NCObjectsZMT(Grid const& g, 0333 std::vector<double> const& Thresholds, 0334 double const& IntEps = 1e-5); 0335 0336 /** 0337 * @brief The InitializeFLNCObjectsZMT precomputes the perturbative 0338 * coefficients of coefficient functions for NC FL for SIA in the ZM 0339 * scheme and store them in the 'StructureFunctionObjects' 0340 * structure. 0341 * @param g: the x-space grid 0342 * @param Thresholds: the heavy quark thresholds 0343 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0344 * @return A StructureFunctionObjects-valued function 0345 */ 0346 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeFLNCObjectsZMT(Grid const& g, 0347 std::vector<double> const& Thresholds, 0348 double const& IntEps = 1e-5); 0349 0350 /** 0351 * @brief The InitializeF3NCObjectsZMT precomputes the perturbative 0352 * coefficients of coefficient functions for NC xF3 for SIA in the 0353 * ZM scheme and store them in the 'StructureFunctionObjects' 0354 * structure. 0355 * @param g: the x-space grid 0356 * @param Thresholds: the heavy quark thresholds 0357 * @param IntEps: the integration accuracy (default: 10<SUP>-5</SUP>}) 0358 * @return A StructureFunctionObjects-valued function 0359 */ 0360 std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> InitializeF3NCObjectsZMT(Grid const& g, 0361 std::vector<double> const& Thresholds, 0362 double const& IntEps = 1e-5); 0363 ///@} 0364 0365 /** 0366 * @name Structure function builders 0367 * Collection of functions that build a map of Observable objects 0368 * corresponding to the different component of the structure 0369 * functions. 0370 */ 0371 ///@{ 0372 /** 0373 * @brief The BuildStructureFunctions function constructs a map of 0374 * "Observable" objects. 0375 * @param FObj: the StructureFunctionObjects-valued for the structure function objects 0376 * @param InDistFunc: the distribution to be convoluted with as a map<int,double>-valued function of x and Q 0377 * @param PerturbativeOrder: the perturbative order 0378 * @param Alphas: the strong coupling function 0379 * @param Couplings: the vector-valued function of (non-QCD) couplings 0380 * @param xiR: the renormalisation scale-variation factor (default: 1) 0381 * @param xiF: the factorisation scale-variation factor (default: 1) 0382 * @return A map of "Observable" objects, one for number of active flavours 0383 */ 0384 std::map<int, Observable<>> BuildStructureFunctions(std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> const& FObj, 0385 std::function<std::map<int, double>(double const&, double const&)> const& InDistFunc, 0386 int const& PerturbativeOrder, 0387 std::function<double(double const&)> const& Alphas, 0388 std::function<std::vector<double>(double const&)> const& Couplings, 0389 double const& xiR = 1, 0390 double const& xiF = 1); 0391 0392 /** 0393 * @brief The BuildStructureFunctions function constructs a map of 0394 * "Observable" objects. 0395 * @param FObj: the StructureFunctionObjects-valued for the structure function objects 0396 * @param InDistFunc: the distribution to be convoluted with as a double-valued function of i, x, and Q 0397 * @param PerturbativeOrder: the perturbative order 0398 * @param Alphas: the strong coupling function 0399 * @param Couplings: the vector-valued function of (non-QCD) couplings 0400 * @param xiR: the renormalisation scale-variation factor (default: 1) 0401 * @param xiF: the factorisation scale-variation factor (default: 1) 0402 * @return A map of "Observable" objects, one for number of active flavours 0403 */ 0404 std::map<int, Observable<>> BuildStructureFunctions(std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> const& FObj, 0405 std::function<double(int const&, double const&, double const&)> const& InDistFunc, 0406 int const& PerturbativeOrder, 0407 std::function<double(double const&)> const& Alphas, 0408 std::function<std::vector<double>(double const&)> const& Couplings, 0409 double const& xiR = 1, 0410 double const& xiF = 1); 0411 0412 /** 0413 * @brief The BuildStructureFunctions function constructs a map of 0414 * "Observable" objects. 0415 * @param FObj: the StructureFunctionObjects-valued for the 0416 * structure function objects. In this function, the 0417 * StructureFunctionObjects do not longer admit a truncated 0418 * perturbative expasion (as for example in resummation). The 0419 * relevant objects are to be stored in the C0 element of the 0420 * structure. 0421 * @param InDistFunc: the distribution to be convoluted with as a map<int,double>-valued function of x and Q 0422 * @param Couplings: the vector-valued function of (non-QCD) couplings 0423 * @return A map of "Observable" objects, one for number of active flavours 0424 */ 0425 std::map<int, Observable<>> BuildStructureFunctions(std::function<StructureFunctionObjects(double const&, std::vector<double> const&)> const& FObj, 0426 std::function<std::map<int, double>(double const&, double const&)> const& InDistFunc, 0427 std::function<std::vector<double>(double const&)> const& Couplings); 0428 0429 /** 0430 * @brief The BuildStructureFunctions function constructs an 0431 * "Observable" object. 0432 * @param FObjQ: the StructureFunctionObjects at the scale Q 0433 * @param InDistFuncQ: the distribution to be convoluted with at the scale Q as a map<int,Distribution> 0434 * @param PerturbativeOrder: the perturbative order 0435 * @param AlphasQ: the strong coupling at the scale Q 0436 * @param k: the observable index 0437 * @param xiR: the renormalisation scale-variation factor (default: 1) 0438 * @param xiF: the factorisation scale-variation factor (default: 1) 0439 * @return A "Distribution" object 0440 */ 0441 Distribution BuildStructureFunctions(StructureFunctionObjects const& FObjQ, 0442 std::map<int, Distribution> const& InDistFuncQ, 0443 int const& PerturbativeOrder, 0444 double const& AlphasQ, 0445 int const& k, 0446 double const& xiR = 1, 0447 double const& xiF = 1); 0448 0449 /** 0450 * @brief The BuildStructureFunctions function constructs a map of 0451 * "Observable" objects. 0452 * @param FObjQ: the StructureFunctionObjects at the scale Q 0453 * @param InDistFuncQ: the distribution to be convoluted with at the scale Q as a map<int, Distribution> 0454 * @param PerturbativeOrder: the perturbative order 0455 * @param AlphasQ: the strong coupling at the scale Q 0456 * @param xiR: the renormalisation scale-variation factor (default: 1) 0457 * @param xiF: the factorisation scale-variation factor (default: 1) 0458 * @return A map of "Distribution" objects, one for each number of active flavours 0459 */ 0460 std::map<int, Distribution> BuildStructureFunctions(StructureFunctionObjects const& FObjQ, 0461 std::map<int, Distribution> const& InDistFuncQ, 0462 int const& PerturbativeOrder, 0463 double const& AlphasQ, 0464 double const& xiR = 1, 0465 double const& xiF = 1); 0466 ///@} 0467 }
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