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EvtGen
2.0.0
Monte Carlo generator of particle decays, in particular the weak decays of heavy flavour particles such as B mesons.
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Go to the documentation of this file. 67 beta0 = ( 11.0 / 3.0 * CA - 2.0 / 3.0 * nf ) / ( 4 * M_PI ); 70 gvars.push_back( 0.0 ); 71 gvars.push_back( 0.0 ); 72 gvars.push_back( 0.0 ); 97 double u, w, xb, Pp, Pm, pdf, ml, PX( 0.0 ), EX( 0.0 ), sh( 0.0 ), El( 0.0 ); 103 neutrino = Bmeson-> getDaug( 2 ); 115 PX = EX * ( 1.0 - u ) / ( u + 1.0 ); 116 El = ( 1.0 - xb ) * mB / 2.0; 121 if ( ( ( w * u ) / ( 1.0 + u ) < xb ) && ( xb < w / ( 1.0 + u ) ) && 122 ( max( 0, w - 1.0 ) < u ) && ( sh > 4.0 * mpi * mpi ) && 124 pdf = rate( u, w, xb ); 126 if ( pdf >= testRan ) 148 sttmp = sqrt( 1 - ctH * ctH ); 149 ptmp = sqrt( EX * EX - sh ); 150 double pHB[4] = {EX, ptmp * sttmp * cos( phH ), ptmp * sttmp * sin( phH ), 152 p4. set( pHB[0], pHB[1], pHB[2], pHB[3] ); 158 double pWB[4] = { mB - EX, -pHB[1], -pHB[2], -pHB[3]}; 163 double mW2 = mB * mB + sh - 2 * mB * EX; 164 double beta = ptmp / pWB[0]; 165 double gamma = pWB[0] / sqrt( mW2 ); 169 ptmp = ( mW2 - ml * ml ) / 2 / sqrt( mW2 ); 170 pLW[0] = sqrt( ml * ml + ptmp * ptmp ); 172 double ctL = ( El - gamma * pLW[0] ) / beta / gamma / ptmp; 177 sttmp = sqrt( 1 - ctL * ctL ); 180 double xW[3] = {-pWB[2], pWB[1], 0}; 182 double zW[3] = {pWB[1] / apWB, pWB[2] / apWB, pWB[3] / apWB}; 184 double lx = sqrt( xW[0] * xW[0] + xW[1] * xW[1] ); 185 for ( j = 0; j < 2; j++ ) 189 double yW[3] = {-pWB[1] * pWB[3], -pWB[2] * pWB[3], 190 pWB[1] * pWB[1] + pWB[2] * pWB[2]}; 191 double ly = sqrt( yW[0] * yW[0] + yW[1] * yW[1] + yW[2] * yW[2] ); 192 for ( j = 0; j < 3; j++ ) 198 for ( j = 0; j < 3; j++ ) 199 pLW[j + 1] = sttmp * cos( phL ) * ptmp * xW[j] + 200 sttmp * sin( phL ) * ptmp * yW[j] + ctL * ptmp * zW[j]; 206 double appLB = beta * gamma * pLW[0] + gamma * ctL * apLW; 208 ptmp = sqrt( El * El - ml * ml ); 209 double ctLL = appLB / ptmp; 216 double pLB[4] = {El, 0, 0, 0}; 217 double pNB[4] = {pWB[0] - El, 0, 0, 0}; 219 for ( j = 1; j < 4; j++ ) { 220 pLB[j] = pLW[j] + ( ctLL * ptmp - ctL * apLW ) / apWB * pWB[j]; 221 pNB[j] = pWB[j] - pLB[j]; 224 p4. set( pLB[0], pLB[1], pLB[2], pLB[3] ); 227 p4. set( pNB[0], pNB[1], pNB[2], pNB[3] ); 235 std::vector<double> vars( 11 ); 248 cout << "Error in EvtVubAC: 2nd argument to PolyLog is >= 1." << endl; 251 for ( int k = 1; k < 101; k++ ) { 252 sum = sum + pow( z, k ) / pow( k, v ); 267 std::vector<double> vars( 11 ); 269 for ( int j = 3; j < 11; j++ ) { 272 double K = ( 1 + c ) / ( 1 + c + pow( c, 2 ) ); 273 return K * ( c + pow( w, 2 ) / ( w + c ) ); 278 std::vector<double> vars( 11 ); 280 for ( int j = 3; j < 11; j++ ) { 283 return q + u * u / ( u + q ); 288 std::vector<double> vars( 11 ); 290 for ( int j = 3; j < 11; j++ ) { 293 return u - k * u * u; 298 std::vector<double> vars( 11 ); 299 for ( int j = 3; j < 11; j++ ) { 305 double ans = 1.0 / beta0 * ( a + b ); 312 std::vector<double> vars( 11 ); 317 for ( int j = 3; j < 11; j++ ) { 321 double coeff = Coeff0( w, xb ) + 328 std::vector<double> vars( 11 ); 331 for ( int j = 3; j < 11; j++ ) { 334 return 12.0 * ( 1 + xb - w ) * ( w - xb ); 339 std::vector<double> vars( 11 ); 342 for ( int j = 3; j < 11; j++ ) { 345 double a = 1 + xb - w; 346 double b = - PolyLog( 2, 1 - w ) - 3.0 / 2.0 * log( wreg( w ) ) - 347 1.0 / 2.0 * w * f( w ) - 35.0 / 8.0 + ( M_PI * M_PI ) / 6.0; 348 double c = 1.0 / 2.0 * xb * f( wreg( w ) ); 350 double ans = 12.0 * CF / M_PI * ( w - xb ) * ( ( a * b ) + c ); 357 std::vector<double> vars( 11 ); 361 for ( int j = 3; j < 11; j++ ) { 370 std::vector<double> vars( 11 ); 374 for ( int j = 3; j < 11; j++ ) { 378 double a = 3 * pow( w, 4 ) * ( 24 + 3 * w - 8 * xb ) / 379 ( 4 * pow( 1 + u, 5 ) ); 380 double b = 9 * pow( w, 4 ) * ( 24 + 3 * w - 8 * xb ) / 381 ( 8 * pow( 1 + u, 4 ) ); 382 double c = 9 * ( -12 + w ) * pow( -2 + w, 2 ) * pow( w - 2 * xb, 2 ) / 383 ( 16 * pow( 1 - u, 3 ) ); 384 double cc = 9 * ( -12 + w ) * pow( -2 + w, 2 ) * pow( w - 2 * xb, 2 ) / 385 ( 32 * pow( 1 - u, 2 ) ); 386 double d = 3 * pow( w, 2 ) * 387 ( 32 - 47 * w - 8 * w * w + 16 * xb + 20 * w * xb + w * w * xb + 388 8 * xb * xb - 3 * w * xb * xb ) / 389 ( 8 * pow( 1 + u, 2 ) ); 390 double e = 1 / ( 8 * pow( 1 + u, 3 ) ) * 392 ( -64 + 94 * w + 40 * w * w + 3 * pow( w, 3 ) - 32 * xb - 393 40 * xb * w - 10 * w * w * xb - 16 * xb * xb + 395 double f = 1 / ( 64 * ( 1 + u ) ) * 396 ( 3 * ( 640 * w - 368 * w * w - 200 * w * w * w - 397 16 * pow( w, 4 ) + 3 * pow( w, 5 ) - 384 * xb + 398 320 * w * xb + 528 * w * w * xb + 112 * pow( w, 3 ) * xb - 399 16 * pow( w, 4 ) * xb - 256 * xb * xb - 400 48 * w * xb * xb - 224 * pow( w, 2 ) * pow( xb, 2 ) + 401 24 * pow( w, 3 ) * pow( xb, 2 ) ) ); 402 double g = 1 / ( 64 * ( 1 - u ) ) * 403 ( 3 * ( -256 * w + 528 * w * w - 200 * pow( w, 3 ) - 404 16 * pow( w, 4 ) + 3 * pow( w, 5 ) + 512 * xb - 405 1472 * w * xb + 528 * pow( w, 2 ) * xb + 406 112 * pow( w, 3 ) * xb - 16 * pow( w, 4 ) * xb + 407 640 * xb * xb - 48 * w * xb * xb - 408 224 * pow( w, 2 ) * pow( xb, 2 ) + 409 24 * pow( w, 3 ) * pow( xb, 2 ) ) ); 410 double h = 9 * pow( w, 5 ) * log( ureg( u ) ) / ( 4 * pow( 1 + u, 6 ) ); 411 double i = 9 * pow( w, 5 ) * log( ureg( u ) ) / ( 2 * pow( 1 + u, 5 ) ); 412 double ii = 9 * ( -12 + w ) * pow( -2 + w, 2 ) * pow( w - 2 * xb, 2 ) * 413 log( ureg( u ) ) / ( 16 * pow( 1 - u, 4 ) ); 414 double j = 9 * ( -12 + w ) * pow( -2 + w, 2 ) * pow( w - 2 * xb, 2 ) * 415 log( ureg( u ) ) / ( 16 * pow( 1 - u, 3 ) ); 416 double k = ( 3 * pow( w, 3 ) * 417 ( -10 + 16 * w + pow( w, 2 ) + 8 * xb - 2 * w * xb - 420 ( 8 * pow( 1 + u, 3 ) ); 421 double l = ( 3 * pow( w, 3 ) * 422 ( -10 + 16 * w + 7 * pow( w, 2 ) + 8 * xb - 2 * w * xb - 425 ( 8 * pow( 1 + u, 4 ) ); 426 double m = 1 / ( 64 * pow( 1 + u, 2 ) ) * 428 ( -144 * w + 208 * pow( w, 2 ) + 16 * pow( w, 3 ) + 429 pow( w, 4 ) - 64 * xb - 80 * w * xb - 16 * pow( w, 2 ) * xb - 430 8 * pow( w, 3 ) * xb + 48 * xb * xb - 96 * w * xb * xb + 431 16 * pow( w, 2 ) * pow( xb, 2 ) ) * 433 double n = 1 / ( 64 * pow( 1 - u, 2 ) ) * 435 ( -256 * w + 624 * pow( w, 2 ) - 304 * pow( w, 3 ) + 436 16 * pow( w, 4 ) + pow( w, 5 ) + 512 * xb - 1856 * w * xb + 437 944 * pow( w, 2 ) * xb - 16 * pow( w, 3 ) * xb - 438 8 * pow( w, 4 ) * xb + 1024 * xb * xb - 464 * w * xb * xb - 439 96 * pow( w, 2 ) * pow( xb, 2 ) + 440 16 * pow( w, 3 ) * pow( xb, 2 ) ) * 443 double rem = -a + b - c + cc - d - e + f + g - h + i - ii + j + k - l - m + n; 450 std::vector<double> vars( 11 ); 452 for ( int j = 3; j < 11; j++ ) { 456 return log( w ) / ( 1 - w ); 463 std::vector<double> vars( 11 ); 464 for ( int j = 3; j < 11; j++ ) { 468 double func = ( 1 / beta0 ) * 469 ( 1 / log( mB * mB / x ) + x / ( x - mB * mB ) ) - 476 std::vector<double> vars( 11 ); 477 for ( int j = 3; j < 11; j++ ) { 481 const double precision = 1e-8; 487 const double alphaSmZ ) 489 std::vector<double> vars( 11 ); 491 for ( int j = 3; j < 11; j++ ) { 500 double x = 0.5 * ( x1 + x2 ); 526 if ( ( x1 < 0.04 ) | ( x1 > 1.0 ) | ( x2 > 0.9981306360766614 ) ) { 527 cout << "Input variables are not in range" << endl; 532 double sigma[6283][21] = { 533 {1.4165575231667025e-6, 2.367068423885654e-6, 3.010516455581869e-6, 534 3.5037825936986625e-6, 3.929518324374288e-6, 4.306057170491293e-6, 535 4.670305737607004e-6, 5.03601978363166e-6, 5.38081382734055e-6, 536 5.706111094422232e-6, 6.01592741932564e-6, 6.312683745642994e-6, 537 6.599149887344445e-6, 6.876589598409881e-6, 7.146140172115845e-6, 538 7.408228896739411e-6, 7.66381903520912e-6, 7.914216132923142e-6, 539 8.158375083092094e-6, 8.387923687779773e-6, 8.609047991600152e-6}, 540 {1.4242950283096505e-6, 2.3821813865451333e-6, 541 3.0321094979724177e-6, 3.531463105585163e-6, 542 3.963281819193405e-6, 4.345928764350666e-6, 543 4.716578534159503e-6, 5.0891092458471885e-6, 544 5.440882358124266e-6, 5.773300334146699e-6, 545 6.090393611799158e-6, 6.394582544259559e-6, 546 6.6886559040585555e-6, 6.973876196346317e-6, 547 7.251379536127028e-6, 7.521582534359883e-6, 548 7.78545760383978e-6, 8.044322886507219e-6, 549 8.297093782815202e-6, 8.535252273580483e-6, 550 8.76506526572483e-6}, 551 {1.432085473265309e-6, 2.397426211753438e-6, 3.053927960769999e-6, 552 3.559478172452427e-6, 3.997507657500483e-6, 4.386409405362107e-6, 553 4.763630567689123e-6, 5.143175144213434e-6, 5.5021483329791995e-6, 554 5.841932217571044e-6, 6.166572855026258e-6, 6.478490721190443e-6, 555 6.780495077370961e-6, 7.073848449513044e-6, 7.359687275376904e-6, 556 7.638419489154442e-6, 7.911031108690893e-6, 8.178859267303823e-6, 557 8.440787940213002e-6, 8.688163613340468e-6, 8.92736042107122e-6}, 558 {1.439929354714352e-6, 2.41280463514272e-6, 3.0759756040991857e-6, 559 3.5878345116181944e-6, 4.0322066625519e-6, 4.427515357355928e-6, 560 4.811485212210924e-6, 5.198250042510372e-6, 5.564655974117598e-6, 561 5.912066071547593e-6, 6.244545266975116e-6, 6.5645198876533405e-6, 562 6.874832084123841e-6, 7.176767831207023e-6, 7.471508054632459e-6, 563 7.759532156090581e-6, 8.04198240629201e-6, 8.32045326864888e-6, 564 8.594180689511984e-6, 8.854977185824032e-6, 9.110250789357704e-6}, 565 {1.4478271762507601e-6, 2.4283184286282795e-6, 566 3.098256291022933e-6, 3.6165390675423683e-6, 567 4.067390102434151e-6, 4.469263755477156e-6, 568 4.860167832347213e-6, 5.254372135627978e-6, 569 5.6284672051347425e-6, 5.9838160854326365e-6, 570 6.3245497730126735e-6, 6.653205576198729e-6, 571 6.972878946209313e-6, 7.285309002010701e-6, 572 7.592510371689441e-6, 7.896411617922357e-6, 573 8.20063859130551e-6, 8.510772078503667e-6, 574 8.832168193219429e-6, 9.165813151304237e-6, 575 9.53285861473224e-6}, 576 {1.4557794485384492e-6, 2.4439694016732532e-6, 577 3.1207739929456703e-6, 3.6455990425662466e-6, 578 4.103069949395984e-6, 4.511674486770287e-6, 579 4.9097162595434805e-6, 5.31163173249103e-6, 580 5.693833505594434e-6, 6.057899920792941e-6, 581 6.40853743177932e-6, 6.749486714584406e-6, 582 7.086268724196642e-6, 7.425114172566452e-6, 583 7.775933736046638e-6, 8.153858881648055e-6, 584 8.583979262125893e-6, 9.104919794810385e-6, 585 9.771190049418475e-6, 0.000010655316056335114, 586 0.000011879449548606903}, 587 {1.4637866894434715e-6, 2.4597594026488963e-6, 588 3.1435328023270215e-6, 3.675022094200968e-6, 589 4.139261015606768e-6, 4.554785482753721e-6, 590 4.960261093796092e-6, 5.370505023603311e-6, 591 5.762353786846746e-6, 6.139117526304596e-6, 592 6.509469970691759e-6, 6.885255799616473e-6, 593 7.287458092501649e-6, 7.749887299160317e-6, 594 8.32885760857551e-6, 9.113946680584014e-6, 595 0.000010246567374771375, 0.000011937444274020002, 596 0.000014487810062278417, 0.000018317257226721972, 597 0.000024019460747614908}, 598 {1.4718494242154426e-6, 2.47569032092263e-6, 599 3.1665369954244623e-6, 3.704817540595162e-6, 600 4.1759933558943466e-6, 4.598735271412134e-6, 601 5.0124291131193585e-6, 5.433421718923075e-6, 602 5.842081003357196e-6, 6.25081174384318e-6, 603 6.687863486666798e-6, 7.203370086561662e-6, 604 7.888130624783698e-6, 8.895491964923852e-6, 605 0.000010474854356656637, 0.000013013790895360114, 606 0.000017103162658690718, 0.000023594388998758814, 607 0.000033675540649204326, 0.0000489743631710715, 608 0.00007167123447469805}, 609 {1.4799681856124983e-6, 2.4917640930821483e-6, 610 3.189791331459303e-6, 3.7350018542235523e-6, 611 4.213364439714587e-6, 4.6440845681077435e-6, 612 5.068808179491631e-6, 5.510100074518286e-6, 613 5.963880470002839e-6, 6.478624017039391e-6, 614 7.15653839638677e-6, 8.186319369076682e-6, 615 9.901211792269553e-6, 0.00001285388168746797, 616 0.00001791473813352924, 0.000026395814832379054, 617 0.00004023796628984912, 0.00006215097225704537, 618 0.00009581181745663649, 0.00014613963204180726, 619 0.00021950361737713158}, 620 {1.4881435141358186e-6, 2.5079827251928324e-6, 621 3.2133022065365606e-6, 3.7656181018241744e-6, 622 4.251709132603763e-6, 4.692789471300035e-6, 623 5.138092460064064e-6, 5.631736014247149e-6, 624 6.222486583756952e-6, 7.074460431913035e-6, 625 8.516847254554029e-6, 0.000011146675936698287, 626 0.00001598487036709448, 0.000024676371711528723, 627 0.00003973100609228614, 0.00006482027286305135, 628 0.00010522951047594253, 0.00016812223653460108, 629 0.0002629574390857122, 0.0004020922351741092, 630 0.0006010848384153264}, 631 {1.4963759583151903e-6, 2.5243483687339437e-6, 632 3.237081297203293e-6, 3.7967920233725075e-6, 633 4.292052792747759e-6, 4.750619410688871e-6, 634 5.244743138386107e-6, 5.882169800577362e-6, 635 6.861806219944362e-6, 8.661389866449539e-6, 636 0.000012201247096758813, 0.000019102025579797836, 637 0.00003204800713762135, 0.00005523761951074777, 638 0.00009488701985136956, 0.00015983464774662793, 639 0.0002624903756946114, 0.0004192081140389302, 640 0.0006510290476882939, 0.0009848304741404048, 641 0.001453606151783205}, 642 {1.5046660751362809e-6, 2.5408635441916518e-6, 643 3.2611553025151935e-6, 3.828869434733319e-6, 644 4.337140997577745e-6, 4.832296391723187e-6, 645 5.448304652803628e-6, 6.456759953337761e-6, 646 8.427640167753178e-6, 0.000012582140894959107, 647 0.000021189631492341075, 0.00003812415991730859, 648 0.00006961051442979106, 0.00012511009513628465, 649 0.0002182386548602159, 0.00036784253513290593, 650 0.0005997802091285906, 0.0009472266290232328, 651 0.001451824037624317, 0.002165658547709524, 652 0.003151169272603568}, 653 {1.513014431349342e-6, 2.5575317180811684e-6, 654 3.285588677838592e-6, 3.862711264004167e-6, 655 4.393497785977758e-6, 4.971131108182325e-6, 656 5.877560126916229e-6, 7.760928857782783e-6, 657 0.000012010321954462888, 0.000021425611998560057, 658 0.00004103962752813721, 0.00007918737669843748, 659 0.00014888249214427865, 0.00026937365623495315, 660 0.0004676234374684211, 0.0007800133940380605, 661 0.0012554029868658135, 0.001954878490320336, 662 0.002953326775520852, 0.004342592761282795, 663 0.006230305880813369}, 664 {1.5214216061560787e-6, 2.5743586303033982e-6, 665 3.3105310719671444e-6, 3.900262214432865e-6, 666 4.475130527383932e-6, 5.235335812545794e-6, 667 6.785170800407953e-6, 0.000010559617886456428, 668 0.00001959432925507232, 0.00003974849574067812, 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0.9980387158739126, 51128 0.9980406762267077, 51129 0.9980426346200809, 51130 0.9980445910559907, 51131 0.9980465455363937, 51132 0.9980484980632444, 51133 0.9980504486384952, 51134 0.9980523972640972, 51135 0.9980543439419989, 51136 0.9980562886741471, 51137 0.9980582314624865, 51138 0.9980601723089603, 51139 0.9980621112155091, 51140 0.9980640481840721, 51141 0.9980659832165863, 51142 0.9980679163149869, 51143 0.9980698474812071, 51145 0.9980737040248291, 51146 0.9980756294060876, 51147 0.9980775528628794, 51148 0.9980794743971275, 51149 0.9980813940107539, 51150 0.9980833117056783, 51151 0.9980852274838183, 51153 0.9980890532974072, 51154 0.9980909633366819, 51155 0.9980928714668245, 51156 0.9980947776897429, 51157 0.9980966820073436, 51158 0.9980985844215309, 51159 0.9981004849342074, 51160 0.9981023835472739, 51161 0.9981042802626288, 51162 0.9981061750821689, 51163 0.9981080680077893, 51166 0.9981137354400527, 51167 0.9981156208089054, 51168 0.9981175042932844, 51169 0.9981193858950734, 51170 0.9981212656161542, 51171 0.9981231434584065, 51172 0.9981250194237082, 51173 0.9981268935139355, 51174 0.9981287657309624, 51175 0.9981306360766614}; 51179 if ( x1 == wreg[JMAX] ) { 51182 for ( int y = 0; y <= JMAX; y++ ) { 51183 if ( ( wreg[y] <= x1 ) && ( x1 < wreg[y + 1] ) ) { 51189 if ( x2 > ularge[KMAX - 1] ) { 51192 for ( int z = 0; z <= KMAX; z++ ) { 51193 if ( ( ularge[z] <= x2 ) && ( x2 < ularge[z + 1] ) ) { 51202 double y0, y1, y2, y3; 51211 y1 = sigma[ k][j + 1]; 51212 y2 = sigma[ k + 1][j + 1]; 51213 y3 = sigma[ k + 1][j]; 51218 ans = ( 1 - t ) * ( 1 - u ) * y0 + t * ( 1 - u ) * y1 + t * u * y2 + 51219 ( 1 - t ) * u * y3; void decay(EvtParticle *Bmeson) override
double d1(double u, double w, double xb)
double FindRoot(const double alphaSmZ)
void initProbMax() override
double max(double ub, double lb)
double PolyLog(double v, double z)
double getArg(unsigned int j)
virtual void init(EvtId part_n, const EvtVector4R &p4)=0
double Lambda2(double x, double alphaSmZ)
std::vector< double > gvars
void set(int i, double d)
double Sigma(double x1, double x2)
EvtDecayBase * clone() override
double Coeff(double u, double w, double xb)
double initializePhaseSpace(unsigned int numdaughter, EvtId *daughters, bool forceResetMasses=false, double poleSize=-1., int whichTwo1=0, int whichTwo2=1)
void checkNDaug(int d1, int d2=-1)
void checkNArg(int a1, int a2=-1, int a3=-1, int a4=-1)
std::string getName() override
double Coeff0(double w, double xb)
double rate(double u, double w, double xb)
EvtParticle * getDaug(int i)
double Coeff1(double w, double xb)
double d(double u, double w, double xb)
int Bisect(double x1, double x2, double precision, double &root, const double alphaSmZ)
EvtId getDaug(int i) const
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