PTPlot

PTPlot: Gauged Lepton Number Model benchmark points

Lepton number breaking phase transition in an extension of the SM with gauged lepton number (supplied by E. Madge).

Benchmark points for the lepton number phase transition in the model considered in https://arxiv.org/abs/1809.09110, see section 5.2 for the potential. Lepton number is gauged as a $U(1)_\ell$ gauge group. The corresponding gauge boson acquires a mass $m_{Z'}$ when $U(1)_\ell$ is spontaneously broken by an SM singlet scalar $\phi$ with mass $m_\phi$ and lepton number 3. The VEV is set to $v_\phi = 2\,\text{TeV}$ . Four different scenarios for the masses of the DM ( $m_\text{DM}$ ) and additional leptons ( $m_\text{HL}$ ) are considered.

General parameters used for plotting: $v_\mathrm{w} = 1.0$ , $T_* = 500.0 \, \mathrm{GeV}$ (when all points are plotted), $g_* = 130.0$ .

Mission profile: Science Requirements Document (3 years)

This model has the following scenarios:

Scenario A: $m_\text{DM} = 0$ , $m_\text{HL} = 0$ [plot scenario]
Scenario B: $m_\text{DM} = 200\,\text{GeV}$ , $m_\text{HL} = 210\,\text{GeV}$ [plot scenario]
Scenario C: $m_\text{DM} = 500\,\text{GeV}$ , $m_\text{HL} = 1\,\text{TeV}$ [plot scenario]
Scenario D: $h^2\Omega_\text{DM} = 0.12$ , $m_\text{HL} = 1.5\,m_\text{DM}$ [plot scenario]

Full list of points:

[Show list of points]

[ B: $(m_\phi, m_{Z'}) = (200,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.2700$ ; $\beta/H_* = 460$ ; $g_* = 130.0$ ; $T_* = 188 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (250,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0320$ ; $\beta/H_* = 1300$ ; $g_* = 130.0$ ; $T_* = 439 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (250,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0600$ ; $\beta/H_* = 800$ ; $g_* = 130.0$ ; $T_* = 342 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (250,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 2.6000$ ; $\beta/H_* = 260$ ; $g_* = 130.0$ ; $T_* = 115 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (300,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0170$ ; $\beta/H_* = 1800$ ; $g_* = 130.0$ ; $T_* = 597 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (300,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0240$ ; $\beta/H_* = 1400$ ; $g_* = 130.0$ ; $T_* = 531 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (300,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0370$ ; $\beta/H_* = 900$ ; $g_* = 130.0$ ; $T_* = 449 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (300,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0830$ ; $\beta/H_* = 400$ ; $g_* = 130.0$ ; $T_* = 327 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (350,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$ ; $\beta/H_* = 3200$ ; $g_* = 130.0$ ; $T_* = 730 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (350,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0150$ ; $\beta/H_* = 2100$ ; $g_* = 130.0$ ; $T_* = 672 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (350,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0200$ ; $\beta/H_* = 1600$ ; $g_* = 130.0$ ; $T_* = 610 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (350,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0280$ ; $\beta/H_* = 920$ ; $g_* = 130.0$ ; $T_* = 537 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (350,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0450$ ; $\beta/H_* = 510$ ; $g_* = 130.0$ ; $T_* = 439 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (350,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.3900$ ; $\beta/H_* = 140$ ; $g_* = 130.0$ ; $T_* = 219 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (400,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0067$ ; $\beta/H_* = 5000$ ; $g_* = 130.0$ ; $T_* = 848 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (400,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0098$ ; $\beta/H_* = 3500$ ; $g_* = 130.0$ ; $T_* = 794 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (400,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0130$ ; $\beta/H_* = 2300$ ; $g_* = 130.0$ ; $T_* = 739 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (400,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0170$ ; $\beta/H_* = 1700$ ; $g_* = 130.0$ ; $T_* = 681 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (400,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0230$ ; $\beta/H_* = 1100$ ; $g_* = 130.0$ ; $T_* = 614 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (400,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0320$ ; $\beta/H_* = 700$ ; $g_* = 130.0$ ; $T_* = 528 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (400,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0680$ ; $\beta/H_* = 280$ ; $g_* = 130.0$ ; $T_* = 391 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (450,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0045$ ; $\beta/H_* = 7400$ ; $g_* = 130.0$ ; $T_* = 959 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (450,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0066$ ; $\beta/H_* = 5100$ ; $g_* = 130.0$ ; $T_* = 905 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (450,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0089$ ; $\beta/H_* = 3600$ ; $g_* = 130.0$ ; $T_* = 853 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (450,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0120$ ; $\beta/H_* = 2600$ ; $g_* = 130.0$ ; $T_* = 800 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (450,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0160$ ; $\beta/H_* = 1900$ ; $g_* = 130.0$ ; $T_* = 745 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (450,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0200$ ; $\beta/H_* = 1200$ ; $g_* = 130.0$ ; $T_* = 682 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (450,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0260$ ; $\beta/H_* = 790$ ; $g_* = 130.0$ ; $T_* = 604 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (450,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0420$ ; $\beta/H_* = 500$ ; $g_* = 130.0$ ; $T_* = 492 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (500,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0032$ ; $\beta/H_* = 10000$ ; $g_* = 130.0$ ; $T_* = 1064 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (500,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0046$ ; $\beta/H_* = 7600$ ; $g_* = 130.0$ ; $T_* = 1009 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (500,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0064$ ; $\beta/H_* = 5200$ ; $g_* = 130.0$ ; $T_* = 957 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (500,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0086$ ; $\beta/H_* = 3800$ ; $g_* = 130.0$ ; $T_* = 907 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (500,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$ ; $\beta/H_* = 2700$ ; $g_* = 130.0$ ; $T_* = 857 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (500,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0140$ ; $\beta/H_* = 2000$ ; $g_* = 130.0$ ; $T_* = 804 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (500,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0180$ ; $\beta/H_* = 1400$ ; $g_* = 130.0$ ; $T_* = 745 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (500,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0220$ ; $\beta/H_* = 940$ ; $g_* = 130.0$ ; $T_* = 674 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (500,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0990$ ; $\beta/H_* = 68$ ; $g_* = 130.0$ ; $T_* = 373 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (550,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0034$ ; $\beta/H_* = 10000$ ; $g_* = 130.0$ ; $T_* = 1108 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (550,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0048$ ; $\beta/H_* = 7400$ ; $g_* = 130.0$ ; $T_* = 1056 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (550,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0064$ ; $\beta/H_* = 5300$ ; $g_* = 130.0$ ; $T_* = 1006 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (550,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0082$ ; $\beta/H_* = 3900$ ; $g_* = 130.0$ ; $T_* = 958 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (550,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0100$ ; $\beta/H_* = 2800$ ; $g_* = 130.0$ ; $T_* = 910 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (550,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0130$ ; $\beta/H_* = 2000$ ; $g_* = 130.0$ ; $T_* = 859 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (550,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0160$ ; $\beta/H_* = 1400$ ; $g_* = 130.0$ ; $T_* = 803 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (550,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0200$ ; $\beta/H_* = 1000$ ; $g_* = 130.0$ ; $T_* = 737 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (550,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0250$ ; $\beta/H_* = 570$ ; $g_* = 130.0$ ; $T_* = 649 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (550,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0460$ ; $\beta/H_* = 240$ ; $g_* = 130.0$ ; $T_* = 498 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (600,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0037$ ; $\beta/H_* = 10000$ ; $g_* = 130.0$ ; $T_* = 1150 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (600,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0050$ ; $\beta/H_* = 7200$ ; $g_* = 130.0$ ; $T_* = 1100 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (600,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0064$ ; $\beta/H_* = 5400$ ; $g_* = 130.0$ ; $T_* = 1052 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (600,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0081$ ; $\beta/H_* = 3900$ ; $g_* = 130.0$ ; $T_* = 1006 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (600,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0098$ ; $\beta/H_* = 3000$ ; $g_* = 130.0$ ; $T_* = 959 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (600,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0120$ ; $\beta/H_* = 2200$ ; $g_* = 130.0$ ; $T_* = 911 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (600,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0140$ ; $\beta/H_* = 1600$ ; $g_* = 130.0$ ; $T_* = 858 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (600,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0180$ ; $\beta/H_* = 1100$ ; $g_* = 130.0$ ; $T_* = 796 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (600,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0220$ ; $\beta/H_* = 630$ ; $g_* = 130.0$ ; $T_* = 715 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (600,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0320$ ; $\beta/H_* = 330$ ; $g_* = 130.0$ ; $T_* = 586 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (650,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0039$ ; $\beta/H_* = 9400$ ; $g_* = 130.0$ ; $T_* = 1189 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (650,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0051$ ; $\beta/H_* = 7000$ ; $g_* = 130.0$ ; $T_* = 1141 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (650,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0065$ ; $\beta/H_* = 5200$ ; $g_* = 130.0$ ; $T_* = 1096 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (650,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0080$ ; $\beta/H_* = 3900$ ; $g_* = 130.0$ ; $T_* = 1052 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (650,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0095$ ; $\beta/H_* = 2900$ ; $g_* = 130.0$ ; $T_* = 1007 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (650,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$ ; $\beta/H_* = 2200$ ; $g_* = 130.0$ ; $T_* = 961 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (650,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0130$ ; $\beta/H_* = 1700$ ; $g_* = 130.0$ ; $T_* = 910 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (650,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0150$ ; $\beta/H_* = 1100$ ; $g_* = 130.0$ ; $T_* = 851 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (650,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0190$ ; $\beta/H_* = 790$ ; $g_* = 130.0$ ; $T_* = 777 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (650,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0250$ ; $\beta/H_* = 370$ ; $g_* = 130.0$ ; $T_* = 662 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (700,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0041$ ; $\beta/H_* = 9400$ ; $g_* = 130.0$ ; $T_* = 1227 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (700,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0065$ ; $\beta/H_* = 5400$ ; $g_* = 130.0$ ; $T_* = 1139 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (700,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0079$ ; $\beta/H_* = 3900$ ; $g_* = 130.0$ ; $T_* = 1096 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (700,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0092$ ; $\beta/H_* = 3000$ ; $g_* = 130.0$ ; $T_* = 1054 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (700,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$ ; $\beta/H_* = 2300$ ; $g_* = 130.0$ ; $T_* = 1009 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (700,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0120$ ; $\beta/H_* = 1600$ ; $g_* = 130.0$ ; $T_* = 961 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (700,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0140$ ; $\beta/H_* = 1200$ ; $g_* = 130.0$ ; $T_* = 905 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (700,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0160$ ; $\beta/H_* = 850$ ; $g_* = 130.0$ ; $T_* = 835 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (700,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0210$ ; $\beta/H_* = 440$ ; $g_* = 130.0$ ; $T_* = 733 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (750,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0043$ ; $\beta/H_* = 10000$ ; $g_* = 130.0$ ; $T_* = 1264 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (750,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0054$ ; $\beta/H_* = 6800$ ; $g_* = 130.0$ ; $T_* = 1221 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (750,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0066$ ; $\beta/H_* = 5200$ ; $g_* = 130.0$ ; $T_* = 1180 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (750,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0078$ ; $\beta/H_* = 4000$ ; $g_* = 130.0$ ; $T_* = 1140 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (750,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0090$ ; $\beta/H_* = 3100$ ; $g_* = 130.0$ ; $T_* = 1100 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (750,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0100$ ; $\beta/H_* = 2300$ ; $g_* = 130.0$ ; $T_* = 1057 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (750,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$ ; $\beta/H_* = 1700$ ; $g_* = 130.0$ ; $T_* = 1011 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (750,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0130$ ; $\beta/H_* = 1200$ ; $g_* = 130.0$ ; $T_* = 958 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (750,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0150$ ; $\beta/H_* = 870$ ; $g_* = 130.0$ ; $T_* = 892 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (750,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0180$ ; $\beta/H_* = 500$ ; $g_* = 130.0$ ; $T_* = 799 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (800,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0045$ ; $\beta/H_* = 8200$ ; $g_* = 130.0$ ; $T_* = 1300 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (800,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0055$ ; $\beta/H_* = 6500$ ; $g_* = 130.0$ ; $T_* = 1260 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (800,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0066$ ; $\beta/H_* = 5100$ ; $g_* = 130.0$ ; $T_* = 1221 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (800,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0077$ ; $\beta/H_* = 4000$ ; $g_* = 130.0$ ; $T_* = 1183 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (800,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0087$ ; $\beta/H_* = 3000$ ; $g_* = 130.0$ ; $T_* = 1145 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (800,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0097$ ; $\beta/H_* = 2300$ ; $g_* = 130.0$ ; $T_* = 1105 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (800,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$ ; $\beta/H_* = 1800$ ; $g_* = 130.0$ ; $T_* = 1061 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (800,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0120$ ; $\beta/H_* = 1300$ ; $g_* = 130.0$ ; $T_* = 1012 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (800,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0130$ ; $\beta/H_* = 920$ ; $g_* = 130.0$ ; $T_* = 950 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (850,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0038$ ; $\beta/H_* = 11000$ ; $g_* = 130.0$ ; $T_* = 1377 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (850,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0047$ ; $\beta/H_* = 8000$ ; $g_* = 130.0$ ; $T_* = 1337 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (850,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0056$ ; $\beta/H_* = 6100$ ; $g_* = 130.0$ ; $T_* = 1299 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (850,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0066$ ; $\beta/H_* = 4700$ ; $g_* = 130.0$ ; $T_* = 1262 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (850,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0076$ ; $\beta/H_* = 3900$ ; $g_* = 130.0$ ; $T_* = 1226 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (850,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0085$ ; $\beta/H_* = 2900$ ; $g_* = 130.0$ ; $T_* = 1190 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (850,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0093$ ; $\beta/H_* = 2400$ ; $g_* = 130.0$ ; $T_* = 1153 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (850,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0100$ ; $\beta/H_* = 1800$ ; $g_* = 130.0$ ; $T_* = 1112 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (850,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$ ; $\beta/H_* = 1300$ ; $g_* = 130.0$ ; $T_* = 1065 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (900,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0040$ ; $\beta/H_* = 10000$ ; $g_* = 130.0$ ; $T_* = 1411 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (900,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0048$ ; $\beta/H_* = 7800$ ; $g_* = 130.0$ ; $T_* = 1373 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (900,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0057$ ; $\beta/H_* = 6100$ ; $g_* = 130.0$ ; $T_* = 1338 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (900,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0065$ ; $\beta/H_* = 4700$ ; $g_* = 130.0$ ; $T_* = 1303 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (900,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0073$ ; $\beta/H_* = 3700$ ; $g_* = 130.0$ ; $T_* = 1270 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (900,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0082$ ; $\beta/H_* = 2900$ ; $g_* = 130.0$ ; $T_* = 1236 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (900,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0089$ ; $\beta/H_* = 2200$ ; $g_* = 130.0$ ; $T_* = 1201 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (900,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0095$ ; $\beta/H_* = 1700$ ; $g_* = 130.0$ ; $T_* = 1163 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (950,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0042$ ; $\beta/H_* = 9500$ ; $g_* = 130.0$ ; $T_* = 1445 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (950,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0050$ ; $\beta/H_* = 7400$ ; $g_* = 130.0$ ; $T_* = 1410 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (950,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0057$ ; $\beta/H_* = 5900$ ; $g_* = 130.0$ ; $T_* = 1377 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (950,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0065$ ; $\beta/H_* = 4600$ ; $g_* = 130.0$ ; $T_* = 1346 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (950,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0071$ ; $\beta/H_* = 3600$ ; $g_* = 130.0$ ; $T_* = 1315 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (950,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0078$ ; $\beta/H_* = 3400$ ; $g_* = 130.0$ ; $T_* = 1284 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (950,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0084$ ; $\beta/H_* = 2300$ ; $g_* = 130.0$ ; $T_* = 1252 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (1000,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0037$ ; $\beta/H_* = 12000$ ; $g_* = 130.0$ ; $T_* = 1516 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (1000,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0044$ ; $\beta/H_* = 9000$ ; $g_* = 130.0$ ; $T_* = 1481 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (1000,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0051$ ; $\beta/H_* = 7100$ ; $g_* = 130.0$ ; $T_* = 1448 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (1000,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0057$ ; $\beta/H_* = 5600$ ; $g_* = 130.0$ ; $T_* = 1418 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (1000,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0064$ ; $\beta/H_* = 4500$ ; $g_* = 130.0$ ; $T_* = 1389 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (1000,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0070$ ; $\beta/H_* = 3600$ ; $g_* = 130.0$ ; $T_* = 1361 \, \mathrm{GeV}$ ; [plot]
[ B: $(m_\phi, m_{Z'}) = (1000,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0075$ ; $\beta/H_* = 2900$ ; $g_* = 130.0$ ; $T_* = 1333 \, \mathrm{GeV}$ ; [plot]

[plot all points with these parameters]

Results for scenario: Scenario B

NB: using $v_\mathrm{w} = 1.0$ , $T_* = 500.0 \, \mathrm{GeV}$ , $g_* = 130.0$ .

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PTPlot

PTPlot: Gauged Lepton Number Model benchmark points

This model has the following scenarios:

Full list of points:

Results for scenario: Scenario B

PTPlot by David Weir on behalf of the LISA Cosmology Working Group.