  GATE [pole] y_t=0.9914: d(delta_t-delta_b)/dln mu^2 = -9.329985e-03  target -3(y_t^2-y_b^2)/32pi^2 = -9.329985e-03  rel -2.2e-16
  GATE [row15] y_t=0.9670: d(delta_t-delta_b)/dln mu^2 = -8.876789e-03  target -3(y_t^2-y_b^2)/32pi^2 = -8.876789e-03  rel -1.1e-10
  [pole] mu = m_h           ( 125.20 GeV): delta_t = -0.130 %  delta_b = +0.090 %  ODD = -0.220 %   (t: h +0.025, G0 +0.056, G± -0.211 | b: G± +0.089)
  [pole] mu = m_t           ( 172.60 GeV): delta_t = -0.430 %  delta_b = +0.389 %  ODD = -0.819 %   (t: h -0.275, G0 +0.156, G± -0.311 | b: G± +0.389)
  [pole] mu = v             ( 246.22 GeV): delta_t = -0.761 %  delta_b = +0.721 %  ODD = -1.482 %   (t: h -0.606, G0 +0.266, G± -0.421 | b: G± +0.721)
  [pole] mu = 2m_t          ( 345.20 GeV): delta_t = -1.076 %  delta_b = +1.036 %  ODD = -2.112 %   (t: h -0.922, G0 +0.371, G± -0.526 | b: G± +1.036)
  [pole] mu = sqrt(m_t m_h) ( 147.00 GeV): delta_t = -0.280 %  delta_b = +0.240 %  ODD = -0.520 %   (t: h -0.125, G0 +0.106, G± -0.261 | b: G± +0.239)
  [pole] Delta_odd = -kappa_odd = -1.824 % at mu* = 295.8 GeV = 1.71 m_t  (ln(mu*/m_t) = +0.54)
  [pole] clause [0.5, 2] x (-kappa_odd) holds for mu in [181, 786] GeV; at mu = m_t ratio 0.449 (outside); at mu = v ratio 0.812, +1.62 sigma from -kappa_odd
  [row15] mu = m_h           ( 125.20 GeV): delta_t = -0.133 %  delta_b = +0.108 %  ODD = -0.241 %   (t: h +0.015, G0 +0.060, G± -0.208 | b: G± +0.107)
  [row15] mu = m_t           ( 172.60 GeV): delta_t = -0.418 %  delta_b = +0.393 %  ODD = -0.811 %   (t: h -0.270, G0 +0.155, G± -0.303 | b: G± +0.392)
  [row15] mu = v             ( 246.22 GeV): delta_t = -0.733 %  delta_b = +0.708 %  ODD = -1.441 %   (t: h -0.586, G0 +0.261, G± -0.408 | b: G± +0.708)
  [row15] mu = 2m_t          ( 345.20 GeV): delta_t = -1.033 %  delta_b = +1.008 %  ODD = -2.041 %   (t: h -0.886, G0 +0.361, G± -0.508 | b: G± +1.008)
  [row15] mu = sqrt(m_t m_h) ( 147.00 GeV): delta_t = -0.275 %  delta_b = +0.250 %  ODD = -0.526 %   (t: h -0.128, G0 +0.108, G± -0.256 | b: G± +0.250)
  [row15] Delta_odd = -kappa_odd = -1.824 % at mu* = 305.5 GeV = 1.77 m_t  (ln(mu*/m_t) = +0.57)
  [row15] clause [0.5, 2] x (-kappa_odd) holds for mu in [183, 854] GeV; at mu = m_t ratio 0.444 (outside); at mu = v ratio 0.790, +1.81 sigma from -kappa_odd
{
 "counts": {
  "argument": 2,
  "computed": 14,
  "failed": 0,
  "receipt": 0,
  "symbolic": 0
 },
 "gate": {
  "pole": {
   "d_odd_dlnmu2": -0.009329984733388651,
   "rel_diff": -2.220446049250313e-16,
   "target_-3(yt2-yb2)/32pi2": -0.009329984733388653,
   "y_t": 0.9913624436097646
  },
  "row15": {
   "d_odd_dlnmu2": -0.008876789377550246,
   "rel_diff": -1.1178080683293956e-10,
   "target_-3(yt2-yb2)/32pi2": -0.0088767893785425,
   "y_t": 0.967
  }
 },
 "inputs": {
  "kappa_odd_s1182": 0.01824401246897811,
  "m_b": 4.186,
  "m_b_source": "SOURCE_LEDGER SL-16",
  "m_h": 125.2,
  "m_t": 172.6,
  "s1182_results_sha16": "670028f5e2ed1d36",
  "v": 246.22
 },
 "kernel": "s1186_custodial_odd_one_loop_matching",
 "odd": {
  "pole": {
   "2m_t": {
    "Delta_odd_pct": -2.1124896747555053,
    "delta_b_pct": 1.0360366835669095,
    "delta_t_pct": -1.0764529911885958,
    "mu": 345.2,
    "pieces_b_pct": {
     "G0": 0.0008991328673324673,
     "G\u00b1": 1.0359218906802103,
     "h": -0.0007843399806333068
    },
    "pieces_t_pct": {
     "G0": 0.37128655262648186,
     "G\u00b1": -0.5261298567305936,
     "h": -0.9216096870844839
    }
   },
   "m_h": {
    "Delta_odd_pct": -0.21997411145631374,
    "delta_b_pct": 0.08977890191731569,
    "delta_t_pct": -0.13019520953899807,
    "mu": 125.2,
    "pieces_b_pct": {
     "G0": 0.0007134975533678704,
     "G\u00b1": 0.08929283840268734,
     "h": -0.00022743403873951593
    },
    "pieces_t_pct": {
     "G0": 0.055681656762654824,
     "G\u00b1": -0.2110818668086578,
     "h": 0.02520500050700489
    }
   },
   "m_t": {
    "Delta_odd_pct": -0.8190791522323659,
    "delta_b_pct": 0.38933142230534207,
    "delta_t_pct": -0.42974772992702387,
    "mu": 172.6,
    "pieces_b_pct": {
     "G0": 0.0007722632800540776,
     "G\u00b1": 0.38896289024408615,
     "h": -0.0004037312187981405
    },
    "pieces_t_pct": {
     "G0": 0.15559126261868486,
     "G\u00b1": -0.3108151754846279,
     "h": -0.27452381706108087
    }
   },
   "mu_star_for_minus_kappa_odd": {
    "ln(mu_star/m_t)": 0.5387587029310772,
    "mu_star_GeV": 295.81536167850857,
    "mu_star_over_m_t": 1.7138781093772224
   },
   "sqrt(m_t m_h)": {
    "Delta_odd_pct": -0.5195266318443452,
    "delta_b_pct": 0.23955516211132924,
    "delta_t_pct": -0.27997146973301595,
    "mu": 147.00176869684256,
    "pieces_b_pct": {
     "G0": 0.0007428804167109726,
     "G\u00b1": 0.2391278643233871,
     "h": -0.0003155826287688282
    },
    "pieces_t_pct": {
     "G0": 0.10563645969066475,
     "G\u00b1": -0.2609485211466427,
     "h": -0.12465940827703802
    }
   },
   "v": {
    "Delta_odd_pct": -1.4819720793635818,
    "delta_b_pct": 0.7207778858709515,
    "delta_t_pct": -0.7611941934926303,
    "mu": 246.22,
    "pieces_b_pct": {
     "G0": 0.0008372859086862009,
     "G\u00b1": 0.7205393990669597,
     "h": -0.0005987991046945067
    },
    "pieces_t_pct": {
     "G0": 0.26613843976919005,
     "G\u00b1": -0.42116728474923365,
     "h": -0.6061653485125866
    }
   }
  },
  "row15": {
   "2m_t": {
    "Delta_odd_pct": -2.0410935020585237,
    "delta_b_pct": 1.0078365107060383,
    "delta_t_pct": -1.0332569913524852,
    "mu": 345.2,
    "pieces_b_pct": {
     "G0": 0.0008991328673324673,
     "G\u00b1": 1.0077217178193392,
     "h": -0.0007843399806333068
    },
    "pieces_t_pct": {
     "G0": 0.36062913731657575,
     "G\u00b1": -0.5079054654670256,
     "h": -0.8859806632020354
    }
   },
   "m_h": {
    "Delta_odd_pct": -0.24050512713988276,
    "delta_b_pct": 0.10754232314421905,
    "delta_t_pct": -0.1329628039956637,
    "mu": 125.2,
    "pieces_b_pct": {
     "G0": 0.0007134975533678704,
     "G\u00b1": 0.10705625962959069,
     "h": -0.00022743403873951593
    },
    "pieces_t_pct": {
     "G0": 0.06034543948203369,
     "G\u00b1": -0.2081786737793747,
     "h": 0.01487043030167732
    }
   },
   "m_t": {
    "Delta_odd_pct": -0.8105091962313963,
    "delta_b_pct": 0.3925443576899177,
    "delta_t_pct": -0.4179648385414787,
    "mu": 172.6,
    "pieces_b_pct": {
     "G0": 0.0007722632800540776,
     "G\u00b1": 0.3921758256286617,
     "h": -0.0004037312187981405
    },
    "pieces_t_pct": {
     "G0": 0.15540488339062067,
     "G\u00b1": -0.3030618205080193,
     "h": -0.2703079014240801
    }
   },
   "mu_star_for_minus_kappa_odd": {
    "ln(mu_star/m_t)": 0.5710916456070183,
    "mu_star_GeV": 305.53624839476913,
    "mu_star_over_m_t": 1.7701984263891608
   },
   "sqrt(m_t m_h)": {
    "Delta_odd_pct": -0.5255071616856964,
    "delta_b_pct": 0.25004334041706877,
    "delta_t_pct": -0.2754638212686276,
    "mu": 147.00176869684256,
    "pieces_b_pct": {
     "G0": 0.0007428804167109726,
     "G\u00b1": 0.2496160426291266,
     "h": -0.0003155826287688282
    },
    "pieces_t_pct": {
     "G0": 0.10787516143632934,
     "G\u00b1": -0.2556202471437556,
     "h": -0.12771873556120142
    }
   },
   "v": {
    "Delta_odd_pct": -1.4412027141983852,
    "delta_b_pct": 0.7078911167050381,
    "delta_t_pct": -0.7333115974933472,
    "mu": 246.22,
    "pieces_b_pct": {
     "G0": 0.0008372859086862009,
     "G\u00b1": 0.7076526299010465,
     "h": -0.0005987991046945067
    },
    "pieces_t_pct": {
     "G0": 0.26058549235761996,
     "G\u00b1": -0.4080473615258691,
     "h": -0.5858497283250981
    }
   }
  }
 },
 "scan": {
  "pole": {
   "Delta_odd_at_m_t_pct": -0.8190791522323659,
   "Delta_odd_at_v_pct": -1.4819720793635818,
   "clause_window_GeV": [
    181.43204678438423,
    786.3830960981293
   ],
   "ratio_at_m_t": 0.4489577901928744,
   "ratio_at_v": 0.8123060000553654,
   "ratio_to_minus_kappa_odd": 0.4489577901928744,
   "sigma_at_v": 1.6152319223312699
  },
  "row15": {
   "Delta_odd_at_m_t_pct": -0.8105091962313963,
   "Delta_odd_at_v_pct": -1.4412027141983852,
   "clause_window_GeV": [
    182.77505240324987,
    853.7965409800564
   ],
   "ratio_at_m_t": 0.444260382747258,
   "ratio_at_v": 0.7899592902871494,
   "ratio_to_minus_kappa_odd": 0.444260382747258,
   "sigma_at_v": 1.807540248582197
  }
 },
 "verdict": "mu-gate PASS (odd slope = -3(y_t^2-y_b^2)/32pi^2 to 1e-10); Delta_odd(m_t) = -0.819 % (pole y_t) / -0.811 % (row-15 y_t); -kappa_odd reached at mu* = 296 / 306 GeV"
}
sha256 d454837d1124ebdb0cdd63116fb1d7a99077e308e28021f540e25d1cd7713de2
s1186: 14 computed PASS-able, 2 argument, 0 failed
