{
 "schema": "ghu-rs-benchmark-v1",
 "source": {
  "arXiv": "0807.4937v3",
  "journal": "JHEP 10 (2008) 094",
  "authors": "Casagrande, Goertz, Haisch, Neubert, Pfoh",
  "locators": {
   "c": "eq:cparameter (Sec. 6.3)",
   "Y": "eq:yukawas",
   "masses_exact": "eq:massesexact",
   "L_and_MKK": "Sec. 6.3, first paragraph"
  },
  "tex_sha256": "7047999d4454dfb657ab4056326de62e96aef564e001cd00743a8838f48aaa42"
 },
 "paper_conventions": {
  "c_doublet": "c_Q = +M_Q/k",
  "c_singlet": "c_q = -M_q/k",
  "F": "sgn[cos(pi c)] sqrt((1+2c)/(1-eps^{1+2c}))",
  "eps": "e^{-L}",
  "mass_ZMA": "singular values of (v/sqrt2) F(c_Q) Y F(c_q)",
  "v_GeV": 246.0,
  "note_v": "paper: \"v approx 246 GeV\" (eq. near line 166); the exact SM inputs are in its App. B"
 },
 "map_to_lab": {
  "LH_doublet": "c_lab = -c_Q",
  "RH_singlet": "c_lab = +c_q"
 },
 "L": "36.8413614879047",
 "L_expr": "ln(10^16)",
 "MKK_TeV": 1.5,
 "c_paper": {
  "Q_1": "-0.579",
  "Q_2": "-0.517",
  "Q_3": "-0.473",
  "u_1": "-0.742",
  "u_2": "-0.558",
  "u_3": "+0.339",
  "d_1": "-0.711",
  "d_2": "-0.666",
  "d_3": "-0.553"
 },
 "Yu": [
  [
   [
    1.077,
    -0.82
   ],
   [
    0.102,
    1.177
   ],
   [
    0.788,
    -0.435
   ]
  ],
  [
   [
    1.333,
    -1.132
   ],
   [
    0.084,
    -0.755
   ],
   [
    -0.394,
    -0.628
   ]
  ],
  [
   [
    -0.729,
    0.081
   ],
   [
    0.682,
    0.276
   ],
   [
    0.753,
    -2.36
   ]
  ]
 ],
 "Yd": [
  [
   [
    1.425,
    -1.784
   ],
   [
    0.358,
    0.464
   ],
   [
    -0.301,
    -0.128
   ]
  ],
  [
   [
    0.055,
    -0.602
   ],
   [
    -1.054,
    -1.575
   ],
   [
    -0.043,
    0.411
   ]
  ],
  [
   [
    0.968,
    1.826
   ],
   [
    0.697,
    0.277
   ],
   [
    -0.853,
    0.646
   ]
  ]
 ],
 "masses_exact_GeV_at_MKK": {
  "u": 0.00145,
  "c": 0.5630000000000001,
  "t": 136.0,
  "d": 0.00298,
  "s": 0.049600000000000005,
  "b": 2.23
 },
 "paper_remark": "ZMA masses essentially equal the exact ones except m_t, about 5.5 GeV larger in the ZMA"
}