{ "schema": "ghu-thermal-crossvalidation-v1", "date": "2026-10-08", "mode": "full", "normalization": { "phi": "alpha/(g4 R)", "C4": "3/(64 pi^6 R^4)", "action": "4 pi integral dr r^2 [0.5 (dphi/dr)^2 + V(phi,T)-V(0,T)]", "dimensions": 3 }, "criterion": "S3/T=140 proxy, not integrated nucleation or percolation", "methodScope": "Separate Python/C++ implementations with shared shooting-method ancestry and shared Fourier coefficients; no claim of algorithmic independence or interval certification.", "targets": { "actionRelative": 0.01, "crossingRelative": 0.001, "toleranceShiftRelative": 0.002, "virialRelative": 0.005 }, "tolerances": [ 2e-05, 2e-06 ], "backend": { "python": "3.12.3", "numpy": "2.5.3", "scipy": "1.18.1", "cosmoTransitions": "2.0.7", "cosmoSourceSHA256": "d80f67772f979eedf5502f04b4947c4ee0f5531b3be5764a890f2721b0eea18f", "phaseTracer": { "repository": "https://github.com/PhaseTracer/PhaseTracer.git", "commit": "dc5aed31f922622e262d232a68ab3e229d705d82", "version": "2.1.0" }, "phaseExecutableSHA256": "7f43ae31060f3b3ae114b82c6e266c20d2a27c589b3373c43188353d7ae2944f", "phaseShootingSHA256": "5d246f9a1a48a465b87d61b87e3c3260f98b252fa92f431b91a7adb0f8de23cf" }, "inputs": { "tools/thermal_run.py": "9801f1975db44cdee3387d058819b0e7398014cab59580b80865401a70749612", "tools/thermal_bounce.cpp": "6fc8458e8403d21eecdada0bfaa0670923a4ff19b34a5747b8776649833901a1", "tools/thermal_crossvalidate.py": "c64d007a03590c92026b776d1a6a8957ca771c8a407ef082ae4a5e5cf36107ae", "tools/crossvalidation-requirements.txt": "1c1c029188592677d290963f9cab2d22070a544743df4345fa0707cba56959a9" }, "sources": [ { "url": "https://arxiv.org/abs/2303.14192", "role": "Thermal SU(3) potential: Hirose and Shibuya" }, { "url": "https://arxiv.org/abs/1109.4189", "role": "CosmoTransitions: Carroll L. Wainwright" }, { "url": "https://arxiv.org/abs/2412.04881", "role": "PhaseTracer2 and shooting-method ancestry: Athron et al." } ], "physicalUnknowns": [ "Higher loops and thermal resummation", "Validity at the chosen gauge couplings", "O(4) tunnelling and competing paths outside the selected one-field branch", "Wall velocity and plasma dynamics" ], "scope": "Fixed one-loop SU(3) thermal benchmarks; separate from SU(7). Numerical differences are diagnostics, not statistical uncertainties or validation against experimental data.", "cases": [ { "case": 1, "parameters": { "nfPlus": 3, "nfMinus": 0, "adjPlus": 0, "adjMinus": 0, "scalarPlus": 0, "scalarMinus": 0, "invRGeV": 1000, "g4": 3, "RT": 0.093, "windings": 100, "thermalTerms": 120 }, "source": "data/thermal_history_case1.json", "sourceSHA256": "ce667cd0d46986c5bcd86c9e2909972b83cc53e0f8f6748c3f0c31257ba2d73f", "samples": [ { "RT": 0.07354791599401905, "temperatureGeV": 73.54791599401905, "multiplier": 8, "phaseTracer": { "S3overT": 111.56244734469766, "alpha": 1.0 }, "cosmoTransitions": { "S3overT": 111.56244556623159, "virialRelative": 0.001975311060616776, "actionIntegralRelative": 3.325316834117576e-16, "falseVacuumEndpointRelative": 2.5972185014634665e-17, "profilePoints": 2001, "npoints": 2000, "alpha": 1.0 }, "phaseTracerTight": { "S3overT": 111.58176607859264, "alpha": 1.0 }, "cosmoTransitionsTight": { "S3overT": 111.58176785150627, "virialRelative": 0.00022379863787095025, "actionIntegralRelative": 1.1082469996066587e-16, "falseVacuumEndpointRelative": 9.554531645028509e-22, "profilePoints": 2001, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": 1.5888918847295486e-08, "phaseToleranceShift": 0.0001731652034782094, "cosmoToleranceShift": 0.00017319703934970399, "archivedPhaseTracer": 111.56244734469766 }, { "RT": 0.07806686956426216, "temperatureGeV": 78.06686956426216, "multiplier": 8, "phaseTracer": { "S3overT": 114.77794152727289, "alpha": 1.0 }, "cosmoTransitions": { "S3overT": 114.77793924994738, "virialRelative": 0.0015793777775271486, "actionIntegralRelative": 3.045062705978807e-16, "falseVacuumEndpointRelative": 0.00017259521770102498, "profilePoints": 2001, "npoints": 2000, "alpha": 1.0 }, "phaseTracerTight": { "S3overT": 114.76090697307825, "alpha": 1.0 }, "cosmoTransitionsTight": { "S3overT": 114.76090866524474, "virialRelative": 0.0002653840561842915, "actionIntegralRelative": 1.0151715316772716e-16, "falseVacuumEndpointRelative": 6.167182905483398e-05, "profilePoints": 2001, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": 1.4745147325356811e-08, "phaseToleranceShift": -0.0001484131355552476, "cosmoToleranceShift": -0.00014837855439753245, "archivedPhaseTracer": 114.77794152727289 }, { "RT": 0.08258582313450527, "temperatureGeV": 82.58582313450528, "multiplier": 8, "phaseTracer": { "S3overT": 119.78432418724343, "alpha": 1.0 }, "cosmoTransitions": { "S3overT": 119.7843259705051, "virialRelative": 0.001823519403447737, "actionIntegralRelative": 0.0, "falseVacuumEndpointRelative": 0.00016736512632722558, "profilePoints": 2001, "npoints": 2000, "alpha": 1.0 }, "phaseTracerTight": { "S3overT": 119.69528973696825, "alpha": 1.0 }, "cosmoTransitionsTight": { "S3overT": 119.69528964651724, "virialRelative": 0.0002487459310032086, "actionIntegralRelative": 9.200630966266892e-17, "falseVacuumEndpointRelative": 6.570862179184592e-05, "profilePoints": 2001, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": -7.556772985140014e-10, "phaseToleranceShift": -0.0007432896656494048, "cosmoToleranceShift": -0.000743305296969976, "archivedPhaseTracer": 119.78432418724343 }, { "RT": 0.08710477670474838, "temperatureGeV": 87.10477670474837, "multiplier": 8, "phaseTracer": { "S3overT": 126.79053959053915, "alpha": 1.0 }, "cosmoTransitions": { "S3overT": 126.79054248151014, "virialRelative": 0.0020246881347095957, "actionIntegralRelative": 1.64702934615701e-16, "falseVacuumEndpointRelative": 0.0001169513209068993, "profilePoints": 2001, "npoints": 2000, "alpha": 1.0 }, "phaseTracerTight": { "S3overT": 126.67035371698033, "alpha": 1.0 }, "cosmoTransitionsTight": { "S3overT": 126.67035161061673, "virialRelative": 0.00025027121329286047, "actionIntegralRelative": 0.0, "falseVacuumEndpointRelative": 3.957177761238541e-05, "profilePoints": 2001, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": -1.6628702192988953e-08, "phaseToleranceShift": -0.00094790884199214, "cosmoToleranceShift": -0.0009479482344745271, "archivedPhaseTracer": 126.79053959053915 }, { "RT": 0.09162373027499149, "temperatureGeV": 91.62373027499149, "multiplier": 8, "phaseTracer": { "S3overT": 136.17064065387362, "alpha": 1.0 }, "cosmoTransitions": { "S3overT": 136.17063643661731, "virialRelative": 0.0019700072097321294, "actionIntegralRelative": 1.4579369155271536e-16, "falseVacuumEndpointRelative": 9.18891516730211e-20, "profilePoints": 2141, "npoints": 2000, "alpha": 1.0 }, "phaseTracerTight": { "S3overT": 136.09921916229806, "alpha": 1.0 }, "cosmoTransitionsTight": { "S3overT": 136.09921632924434, "virialRelative": 0.00025939965617659375, "actionIntegralRelative": 2.1880529847229454e-16, "falseVacuumEndpointRelative": 3.694651236307571e-05, "profilePoints": 2130, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": -2.081609085102798e-08, "phaseToleranceShift": -0.0005244999306208697, "cosmoToleranceShift": -0.0005244897816587546, "archivedPhaseTracer": 136.17064065387362 }, { "RT": 0.09569078848821029, "temperatureGeV": 95.69078848821029, "multiplier": 8, "phaseTracer": { "S3overT": 147.30069318391443, "alpha": 1.0 }, "cosmoTransitions": { "S3overT": 147.30069130345186, "virialRelative": 0.0019035113746514265, "actionIntegralRelative": 2.5809836093640027e-16, "falseVacuumEndpointRelative": 6.662951745515459e-20, "profilePoints": 2246, "npoints": 2000, "alpha": 1.0 }, "phaseTracerTight": { "S3overT": 147.19152540014377, "alpha": 1.0 }, "cosmoTransitionsTight": { "S3overT": 147.19152202414364, "virialRelative": 0.0002626577689797387, "actionIntegralRelative": 3.228622347554734e-16, "falseVacuumEndpointRelative": 1.1346514548239707e-18, "profilePoints": 2231, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": -2.2936104016046954e-08, "phaseToleranceShift": -0.0007411219961765969, "cosmoToleranceShift": -0.0007411321585947261, "archivedPhaseTracer": 147.30069318391443 }, { "RT": 0.1002097420584534, "temperatureGeV": 100.2097420584534, "multiplier": 8, "phaseTracer": { "S3overT": 163.2697903975881, "alpha": 1.0 }, "cosmoTransitions": { "S3overT": 163.26978602578401, "virialRelative": 0.0017383148445920308, "actionIntegralRelative": 3.335305779249112e-16, "falseVacuumEndpointRelative": 1.4032509629019097e-05, "profilePoints": 2350, "npoints": 2000, "alpha": 1.0 }, "phaseTracerTight": { "S3overT": 163.21102912803318, "alpha": 1.0 }, "cosmoTransitionsTight": { "S3overT": 163.21102812155945, "virialRelative": 0.0002841407543306366, "actionIntegralRelative": 5.560844214756733e-17, "falseVacuumEndpointRelative": 2.207767660095811e-18, "profilePoints": 2334, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": -6.16670170483502e-09, "phaseToleranceShift": -0.0003599028908645163, "cosmoToleranceShift": -0.00035988228841854486, "archivedPhaseTracer": 163.2697903975881 }, { "RT": 0.10472869562869652, "temperatureGeV": 104.72869562869653, "multiplier": 8, "phaseTracer": { "S3overT": 184.41853312588154, "alpha": 1.0 }, "cosmoTransitions": { "S3overT": 184.4185228341038, "virialRelative": 0.0017281144465425538, "actionIntegralRelative": 0.0, "falseVacuumEndpointRelative": 2.1601200779095825e-05, "profilePoints": 2465, "npoints": 2000, "alpha": 1.0 }, "phaseTracerTight": { "S3overT": 184.3710085372255, "alpha": 1.0 }, "cosmoTransitionsTight": { "S3overT": 184.3710064090659, "virialRelative": 0.0003180816641116529, "actionIntegralRelative": 1.8840908650051183e-16, "falseVacuumEndpointRelative": 2.699528936051206e-05, "profilePoints": 2444, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": -1.1542810374187695e-08, "phaseToleranceShift": -0.00025769963490385184, "cosmoToleranceShift": -0.00025765538248379016, "archivedPhaseTracer": 184.41853312588154 }, { "RT": 0.10969954455596394, "temperatureGeV": 109.69954455596394, "multiplier": 8, "phaseTracer": { "S3overT": 216.04376858431925, "alpha": 1.0 }, "cosmoTransitions": { "S3overT": 216.04376157172888, "virialRelative": 0.0017784486353766768, "actionIntegralRelative": 1.5350184861249e-16, "falseVacuumEndpointRelative": 3.239797273731672e-05, "profilePoints": 2611, "npoints": 2000, "alpha": 1.0 }, "phaseTracerTight": { "S3overT": 216.0093300832278, "alpha": 1.0 }, "cosmoTransitionsTight": { "S3overT": 216.0093281457055, "virialRelative": 0.0003238533461957966, "actionIntegralRelative": 2.3028947685134313e-16, "falseVacuumEndpointRelative": 4.566265106143987e-05, "profilePoints": 2607, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": -8.969623266352755e-09, "phaseToleranceShift": -0.00015940520440427264, "cosmoToleranceShift": -0.00015938171865215178, "archivedPhaseTracer": 216.04376858431925 } ], "crossings": [ { "multiplier": 1, "windings": 100, "thermalTerms": 120, "phaseTracer": { "RT": 0.09317494188820888, "temperatureGeV": 93.17494188820888, "S3overT": 139.99999999807324, "alpha": 1.0 }, "cosmoTransitions": { "RT": 0.09317494292946302, "temperatureGeV": 93.17494292946301, "S3overT": 139.99999963966823, "virialRelative": 0.00024180004792679138, "actionIntegralRelative": 0.0, "falseVacuumEndpointRelative": 4.893694938968491e-05, "profilePoints": 2174, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": 1.1175259384543779e-08 }, { "multiplier": 2, "windings": 200, "thermalTerms": 240, "phaseTracer": { "RT": 0.0931748206130359, "temperatureGeV": 93.1748206130359, "S3overT": 140.00000011813447, "alpha": 1.0 }, "cosmoTransitions": { "RT": 0.09317482141010336, "temperatureGeV": 93.17482141010336, "S3overT": 140.000000037656, "virialRelative": 0.00024145453329253648, "actionIntegralRelative": 6.972259916237104e-17, "falseVacuumEndpointRelative": 1.2685165418080403e-20, "profilePoints": 2159, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": 8.55453707870879e-09 }, { "multiplier": 4, "windings": 400, "thermalTerms": 480, "phaseTracer": { "RT": 0.09317488933921926, "temperatureGeV": 93.17488933921926, "S3overT": 140.00000000347967, "alpha": 1.0 }, "cosmoTransitions": { "RT": 0.09317488991248707, "temperatureGeV": 93.17488991248707, "S3overT": 140.00000000362945, "virialRelative": 0.00024016487101471032, "actionIntegralRelative": 1.3944509583821766e-16, "falseVacuumEndpointRelative": 3.2881819012411943e-19, "profilePoints": 2172, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": 6.152599762998534e-09 }, { "multiplier": 8, "windings": 800, "thermalTerms": 960, "phaseTracer": { "RT": 0.09317486390078122, "temperatureGeV": 93.17486390078122, "S3overT": 139.9999989488438, "alpha": 1.0 }, "cosmoTransitions": { "RT": 0.09317486375483477, "temperatureGeV": 93.17486375483477, "S3overT": 139.9999999917438, "virialRelative": 0.00024233276676250535, "actionIntegralRelative": 4.1833540499245464e-16, "falseVacuumEndpointRelative": 4.863938072261317e-05, "profilePoints": 2174, "npoints": 2000, "alpha": 1.0 }, "relativeDifference": -1.5663714769686976e-09 } ], "diagnostics": { "maxActionRelative": 2.2936104016046954e-08, "maxVirialRelative": 0.0003238533461957966, "maxPhaseToleranceShift": 0.00094790884199214, "maxCosmoToleranceShift": 0.0009479482344745271, "maxCrossingRelative": 1.1175259384543779e-08, "profileSampling": { "RT": 0.09162373027499149, "multiplier": 8, "points500": { "S3overT": 136.09921600243135, "virialRelative": 0.0002593977243469848, "actionIntegralRelative": 2.1880529899770842e-16, "falseVacuumEndpointRelative": 3.694651236307571e-05, "profilePoints": 533, "npoints": 500, "alpha": 1.0 }, "points2000": { "S3overT": 136.09921632924434, "virialRelative": 0.00025939965617659375, "actionIntegralRelative": 2.1880529847229454e-16, "falseVacuumEndpointRelative": 3.694651236307571e-05, "profilePoints": 2130, "npoints": 2000, "alpha": 1.0 }, "points4000": { "S3overT": 136.099216413805, "virialRelative": 0.0002593998881634607, "actionIntegralRelative": 2.1880529833634723e-16, "falseVacuumEndpointRelative": 3.694651236307571e-05, "profilePoints": 4260, "npoints": 4000, "alpha": 1.0 }, "relative2000to4000": 6.213163317170256e-10 } }, "normalizationChecks": 2324, "evaluations": 166, "withinDeclaredTargets": true }, { "case": 2, "parameters": { "nfPlus": 0, "nfMinus": 8, "adjPlus": 2, "adjMinus": 0, "scalarPlus": 4, "scalarMinus": 2, "invRGeV": 1000, "g4": 1, "RT": 0.0246, "windings": 100, "thermalTerms": 120 }, "source": "data/thermal_history_case2.json", "sourceSHA256": "cc0c19947ef2eb699433f418660b8a8341084f29f52fef736112cf4b2ff03cac", "samples": [ { "RT": 0.025, "temperatureGeV": 25.0, "multiplier": 8, "phaseTracer": { "S3overT": 59.473236687789985, "alpha": 0.03438440012153824 }, "cosmoTransitions": { "S3overT": 59.47323754317583, "virialRelative": 0.0021312305363927544, "actionIntegralRelative": 0.0, "falseVacuumEndpointRelative": 5.045088673483019e-20, "profilePoints": 2001, "npoints": 2000, "alpha": 0.03438440012153824 }, "phaseTracerTight": { "S3overT": 59.40719880167539, "alpha": 0.03438440012153824 }, "cosmoTransitionsTight": { "S3overT": 59.40719861630582, "virialRelative": 0.0001612437145284143, "actionIntegralRelative": 1.530950327496665e-16, "falseVacuumEndpointRelative": 2.5225443367415094e-20, "profilePoints": 2001, "npoints": 2000, "alpha": 0.03438440012153824 }, "relativeDifference": -3.1203216677155865e-09, "phaseToleranceShift": -0.001110379891736235, "cosmoToleranceShift": -0.001110397375324701, "archivedPhaseTracer": 59.473236687789985 }, { "RT": 0.025041666666666667, "temperatureGeV": 25.041666666666668, "multiplier": 8, "phaseTracer": { "S3overT": 70.58145522084939, "alpha": 0.03404873557581643 }, "cosmoTransitions": { "S3overT": 70.58145536180803, "virialRelative": 0.0018806916535187026, "actionIntegralRelative": 1.9296458144411697e-16, "falseVacuumEndpointRelative": 7.008493943449347e-20, "profilePoints": 2001, "npoints": 2000, "alpha": 0.03404873557581643 }, "phaseTracerTight": { "S3overT": 70.50726548217617, "alpha": 0.03404873557581643 }, "cosmoTransitionsTight": { "S3overT": 70.50726589471458, "virialRelative": 0.00018589353153232135, "actionIntegralRelative": 3.219460391487795e-16, "falseVacuumEndpointRelative": 3.104746256603083e-05, "profilePoints": 2001, "npoints": 2000, "alpha": 0.03404873557581643 }, "relativeDifference": 5.851005679957666e-09, "phaseToleranceShift": -0.0010511222592547442, "cosmoToleranceShift": -0.001051118409405749, "archivedPhaseTracer": 70.58145522084939 }, { "RT": 0.025083333333333332, "temperatureGeV": 25.083333333333332, "multiplier": 8, "phaseTracer": { "S3overT": 85.1866164519378, "alpha": 0.03370022007544484 }, "cosmoTransitions": { "S3overT": 85.18661506834883, "virialRelative": 0.0015317178498413218, "actionIntegralRelative": 1.0641027630494819e-16, "falseVacuumEndpointRelative": 0.00010415925638342482, "profilePoints": 2001, "npoints": 2000, "alpha": 0.03370022007544484 }, "phaseTracerTight": { "S3overT": 85.25364769952559, "alpha": 0.03370022007544484 }, "cosmoTransitionsTight": { "S3overT": 85.25364717868261, "virialRelative": 0.00021535644367666574, "actionIntegralRelative": 1.0632660944003424e-16, "falseVacuumEndpointRelative": 4.784111503850715e-05, "profilePoints": 2001, "npoints": 2000, "alpha": 0.03370022007544484 }, "relativeDifference": -6.1093335945727745e-09, "phaseToleranceShift": 0.000786875337695836, "cosmoToleranceShift": 0.0007868854781940549, "archivedPhaseTracer": 85.1866164519378 }, { "RT": 0.025125, "temperatureGeV": 25.125, "multiplier": 8, "phaseTracer": { "S3overT": 105.76455552087617, "alpha": 0.03333749598989006 }, "cosmoTransitions": { "S3overT": 105.7645559393338, "virialRelative": 0.0017907401020886703, "actionIntegralRelative": 4.2782283935908734e-16, "falseVacuumEndpointRelative": 1.098788421623026e-16, "profilePoints": 2001, "npoints": 2000, "alpha": 0.03333749598989006 }, "phaseTracerTight": { "S3overT": 105.71660702703171, "alpha": 0.03333749598989006 }, "cosmoTransitionsTight": { "S3overT": 105.71660771028115, "virialRelative": 0.00020480388449026105, "actionIntegralRelative": 8.560337605520482e-17, "falseVacuumEndpointRelative": 1.3642980609449458e-18, "profilePoints": 2001, "npoints": 2000, "alpha": 0.03333749598989006 }, "relativeDifference": 6.463028556780159e-09, "phaseToleranceShift": -0.0004533512537193696, "cosmoToleranceShift": -0.0004533487483288079, "archivedPhaseTracer": 105.76455552087617 }, { "RT": 0.025166666666666667, "temperatureGeV": 25.166666666666668, "multiplier": 8, "phaseTracer": { "S3overT": 135.67557234492426, "alpha": 0.03295899149731462 }, "cosmoTransitions": { "S3overT": 135.67557242536853, "virialRelative": 0.0018370838348503078, "actionIntegralRelative": 1.9977175151766242e-16, "falseVacuumEndpointRelative": 0.00011695471394657712, "profilePoints": 2161, "npoints": 2000, "alpha": 0.03295899149731462 }, "phaseTracerTight": { "S3overT": 135.58018772725868, "alpha": 0.03295899149731462 }, "cosmoTransitionsTight": { "S3overT": 135.580189634604, "virialRelative": 0.00022665856819368757, "actionIntegralRelative": 0.0, "falseVacuumEndpointRelative": 2.2708784673997552e-17, "profilePoints": 2151, "npoints": 2000, "alpha": 0.03295899149731462 }, "relativeDifference": 1.4068024078994767e-08, "phaseToleranceShift": -0.0007030345700189677, "cosmoToleranceShift": -0.0007030211043848045, "archivedPhaseTracer": 135.67557234492426 }, { "RT": 0.025204166666666666, "temperatureGeV": 25.204166666666666, "multiplier": 8, "phaseTracer": { "S3overT": 176.62478521401636, "alpha": 0.03260323503404484 }, "cosmoTransitions": { "S3overT": 176.62478283465484, "virialRelative": 0.0018748233729693469, "actionIntegralRelative": 1.0215184008848445e-16, "falseVacuumEndpointRelative": 1.1763049857479198e-16, "profilePoints": 2369, "npoints": 2000, "alpha": 0.03260323503404484 }, "phaseTracerTight": { "S3overT": 176.56666086756974, "alpha": 0.03260323503404484 }, "cosmoTransitionsTight": { "S3overT": 176.56666426416277, "virialRelative": 0.0002717722764573667, "actionIntegralRelative": 2.04370928645912e-16, "falseVacuumEndpointRelative": 4.15680442198973e-21, "profilePoints": 2334, "npoints": 2000, "alpha": 0.03260323503404484 }, "relativeDifference": 1.923688763838527e-08, "phaseToleranceShift": -0.0003290837487852638, "cosmoToleranceShift": -0.0003290510513831446, "archivedPhaseTracer": 176.62478521401636 }, { "RT": 0.025245833333333332, "temperatureGeV": 25.245833333333334, "multiplier": 8, "phaseTracer": { "S3overT": 252.9449888038671, "alpha": 0.032188910426523915 }, "cosmoTransitions": { "S3overT": 252.94499380947428, "virialRelative": 0.002462210999779882, "actionIntegralRelative": 1.424243920187533e-16, "falseVacuumEndpointRelative": 6.342702507828002e-05, "profilePoints": 2585, "npoints": 2000, "alpha": 0.032188910426523915 }, "phaseTracerTight": { "S3overT": 252.95720352371114, "alpha": 0.032188910426523915 }, "cosmoTransitionsTight": { "S3overT": 252.95720048569373, "virialRelative": 0.0003083601509964307, "actionIntegralRelative": 3.5604379800545707e-16, "falseVacuumEndpointRelative": 2.7179380159914262e-05, "profilePoints": 2554, "npoints": 2000, "alpha": 0.032188910426523915 }, "relativeDifference": -1.2010005545626257e-08, "phaseToleranceShift": 4.829002504380675e-05, "cosmoToleranceShift": 4.825822419185499e-05, "archivedPhaseTracer": 252.9449888038671 }, { "RT": 0.0252875, "temperatureGeV": 25.2875, "multiplier": 8, "phaseTracer": { "S3overT": 404.31230776177256, "alpha": 0.031751770610683336 }, "cosmoTransitions": { "S3overT": 404.3122972155299, "virialRelative": 0.0025814042695043184, "actionIntegralRelative": 1.0674771145783387e-15, "falseVacuumEndpointRelative": 9.083977603214261e-05, "profilePoints": 2972, "npoints": 2000, "alpha": 0.031751770610683336 }, "phaseTracerTight": { "S3overT": 404.33225955053484, "alpha": 0.031751770610683336 }, "cosmoTransitionsTight": { "S3overT": 404.3322597203695, "virialRelative": 0.00026989925284371573, "actionIntegralRelative": 7.116162743954818e-16, "falseVacuumEndpointRelative": 8.280452452603446e-20, "profilePoints": 2922, "npoints": 2000, "alpha": 0.031751770610683336 }, "relativeDifference": 4.200373382445832e-10, "phaseToleranceShift": 4.934746822993219e-05, "cosmoToleranceShift": 4.9373973972866025e-05, "archivedPhaseTracer": 404.31230776177256 }, { "RT": 0.025333333333333333, "temperatureGeV": 25.333333333333332, "multiplier": 8, "phaseTracer": { "S3overT": 859.4200384634812, "alpha": 0.031240305859009304 }, "cosmoTransitions": { "S3overT": 859.4200149122377, "virialRelative": 0.002995929516347098, "actionIntegralRelative": 5.012837405598128e-16, "falseVacuumEndpointRelative": 3.8175759069596876e-20, "profilePoints": 3000, "npoints": 2000, "alpha": 0.031240305859009304 }, "phaseTracerTight": { "S3overT": 859.464094485102, "alpha": 0.031240305859009304 }, "cosmoTransitionsTight": { "S3overT": 859.4641062420408, "virialRelative": 0.00032578894988598766, "actionIntegralRelative": 8.354300403749723e-16, "falseVacuumEndpointRelative": 2.0697817876280206e-05, "profilePoints": 3000, "npoints": 2000, "alpha": 0.031240305859009304 }, "relativeDifference": 1.3679383181752769e-08, "phaseToleranceShift": 5.126250220977013e-05, "cosmoToleranceShift": 5.130358734728446e-05, "archivedPhaseTracer": 859.4200384634812 } ], "crossings": [ { "multiplier": 1, "windings": 100, "thermalTerms": 120, "phaseTracer": { "RT": 0.025182373550356553, "temperatureGeV": 25.18237355035655, "S3overT": 140.00000837920882, "alpha": 0.03278664030763528 }, "cosmoTransitions": { "RT": 0.0251823735516418, "temperatureGeV": 25.1823735516418, "S3overT": 140.00001038861078, "virialRelative": 0.00024126568192663503, "actionIntegralRelative": 3.8696055982769634e-16, "falseVacuumEndpointRelative": 1.2091672006063392e-18, "profilePoints": 2173, "npoints": 2000, "alpha": 0.03278664029541196 }, "relativeDifference": 5.103761857583322e-11 }, { "multiplier": 2, "windings": 200, "thermalTerms": 240, "phaseTracer": { "RT": 0.025173149555800186, "temperatureGeV": 25.173149555800187, "S3overT": 140.0000044664843, "alpha": 0.03289708849839451 }, "cosmoTransitions": { "RT": 0.025173149555144592, "temperatureGeV": 25.173149555144594, "S3overT": 140.00000233030494, "virialRelative": 0.00018163229353660812, "actionIntegralRelative": 3.225853108182673e-16, "falseVacuumEndpointRelative": 4.402027304084221e-05, "profilePoints": 2174, "npoints": 2000, "alpha": 0.03289708850451904 }, "relativeDifference": -2.6043389667051997e-11 }, { "multiplier": 4, "windings": 400, "thermalTerms": 480, "phaseTracer": { "RT": 0.02517176340183298, "temperatureGeV": 25.17176340183298, "S3overT": 139.99999961291934, "alpha": 0.032911102733248515 }, "cosmoTransitions": { "RT": 0.025171763404091198, "temperatureGeV": 25.171763404091198, "S3overT": 140.00000281028866, "virialRelative": 0.00030083936916582016, "actionIntegralRelative": 1.2904122949702416e-16, "falseVacuumEndpointRelative": 1.8530637741226213e-21, "profilePoints": 2162, "npoints": 2000, "alpha": 0.03291110271214768 }, "relativeDifference": 8.971223763865055e-11 }, { "multiplier": 8, "windings": 800, "thermalTerms": 960, "phaseTracer": { "RT": 0.025171553928268274, "temperatureGeV": 25.171553928268274, "S3overT": 140.00000454591927, "alpha": 0.03291347584362431 }, "cosmoTransitions": { "RT": 0.025171553928046167, "temperatureGeV": 25.171553928046166, "S3overT": 140.000003993156, "virialRelative": 0.00029739733333838665, "actionIntegralRelative": 2.580846045590227e-16, "falseVacuumEndpointRelative": 2.6863369757936946e-18, "profilePoints": 2178, "npoints": 2000, "alpha": 0.032913475845698634 }, "relativeDifference": -8.823719532813357e-12 } ], "diagnostics": { "maxActionRelative": 1.923688763838527e-08, "maxVirialRelative": 0.00032578894988598766, "maxPhaseToleranceShift": 0.001110379891736235, "maxCosmoToleranceShift": 0.001110397375324701, "maxCrossingRelative": 8.971223763865055e-11, "profileSampling": { "RT": 0.025166666666666667, "multiplier": 8, "points500": { "S3overT": 135.5801830177612, "virialRelative": 0.00022661420029745696, "actionIntegralRelative": 3.3318717305987915e-16, "falseVacuumEndpointRelative": 2.2708784673997552e-17, "profilePoints": 538, "npoints": 500, "alpha": 0.03295899149731462 }, "points2000": { "S3overT": 135.580189634604, "virialRelative": 0.00022665856819368757, "actionIntegralRelative": 0.0, "falseVacuumEndpointRelative": 2.2708784673997552e-17, "profilePoints": 2151, "npoints": 2000, "alpha": 0.03295899149731462 }, "points4000": { "S3overT": 135.58018964985044, "virialRelative": 0.0002266587531951035, "actionIntegralRelative": 3.998245881138909e-16, "falseVacuumEndpointRelative": 2.2708784673997552e-17, "profilePoints": 4301, "npoints": 4000, "alpha": 0.03295899149731462 }, "relative2000to4000": 1.1245315789665256e-10 } }, "normalizationChecks": 1568, "evaluations": 112, "withinDeclaredTargets": true } ] }