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]

[ C: $(m_\phi, m_{Z'}) = (200,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1100$; $\beta/H_* = 3000$; $g_* = 130.0 $; $T_* = 330 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (200,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1600$; $\beta/H_* = 2100$; $g_* = 130.0 $; $T_* = 284 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (200,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.2900$; $\beta/H_* = 1100$; $g_* = 130.0 $; $T_* = 214 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (250,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0760$; $\beta/H_* = 3800$; $g_* = 130.0 $; $T_* = 405 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (250,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1000$; $\beta/H_* = 2600$; $g_* = 130.0 $; $T_* = 368 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (250,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1400$; $\beta/H_* = 1700$; $g_* = 130.0 $; $T_* = 320 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (250,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.2400$; $\beta/H_* = 970$; $g_* = 130.0 $; $T_* = 251 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (300,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0520$; $\beta/H_* = 4900$; $g_* = 130.0 $; $T_* = 478 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (300,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0670$; $\beta/H_* = 3500$; $g_* = 130.0 $; $T_* = 447 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (300,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0880$; $\beta/H_* = 2200$; $g_* = 130.0 $; $T_* = 410 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (300,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1200$; $\beta/H_* = 1500$; $g_* = 130.0 $; $T_* = 361 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (300,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1900$; $\beta/H_* = 950$; $g_* = 130.0 $; $T_* = 293 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (300,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 1.2000$; $\beta/H_* = 300$; $g_* = 130.0 $; $T_* = 155 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (350,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0350$; $\beta/H_* = 6600$; $g_* = 130.0 $; $T_* = 550 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (350,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0460$; $\beta/H_* = 4600$; $g_* = 130.0 $; $T_* = 522 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (350,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0590$; $\beta/H_* = 3000$; $g_* = 130.0 $; $T_* = 491 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (350,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0760$; $\beta/H_* = 2200$; $g_* = 130.0 $; $T_* = 453 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (350,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1000$; $\beta/H_* = 1500$; $g_* = 130.0 $; $T_* = 404 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (350,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1500$; $\beta/H_* = 850$; $g_* = 130.0 $; $T_* = 338 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (350,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.5200$; $\beta/H_* = 410$; $g_* = 130.0 $; $T_* = 216 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (400,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0240$; $\beta/H_* = 9000$; $g_* = 130.0 $; $T_* = 620 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (400,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0320$; $\beta/H_* = 6100$; $g_* = 130.0 $; $T_* = 595 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (400,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0410$; $\beta/H_* = 4100$; $g_* = 130.0 $; $T_* = 566 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (400,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0520$; $\beta/H_* = 3100$; $g_* = 130.0 $; $T_* = 534 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (400,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0660$; $\beta/H_* = 2800$; $g_* = 130.0 $; $T_* = 496 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (400,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0860$; $\beta/H_* = 1300$; $g_* = 130.0 $; $T_* = 448 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (400,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1300$; $\beta/H_* = 870$; $g_* = 130.0 $; $T_* = 383 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (400,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.3000$; $\beta/H_* = 420$; $g_* = 130.0 $; $T_* = 273 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (450,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0160$; $\beta/H_* = 13000$; $g_* = 130.0 $; $T_* = 690 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (450,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0220$; $\beta/H_* = 9200$; $g_* = 130.0 $; $T_* = 665 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (450,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0290$; $\beta/H_* = 5700$; $g_* = 130.0 $; $T_* = 639 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (450,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0370$; $\beta/H_* = 4100$; $g_* = 130.0 $; $T_* = 610 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (450,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0470$; $\beta/H_* = 3000$; $g_* = 130.0 $; $T_* = 577 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (450,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0580$; $\beta/H_* = 2000$; $g_* = 130.0 $; $T_* = 538 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (450,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0750$; $\beta/H_* = 1400$; $g_* = 130.0 $; $T_* = 491 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (450,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1000$; $\beta/H_* = 900$; $g_* = 130.0 $; $T_* = 427 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (450,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.2100$; $\beta/H_* = 440$; $g_* = 130.0 $; $T_* = 325 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (500,1400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0120$; $\beta/H_* = 18000$; $g_* = 130.0 $; $T_* = 758 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (500,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0160$; $\beta/H_* = 12000$; $g_* = 130.0 $; $T_* = 734 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (500,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0210$; $\beta/H_* = 8200$; $g_* = 130.0 $; $T_* = 708 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (500,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0270$; $\beta/H_* = 5800$; $g_* = 130.0 $; $T_* = 681 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (500,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0340$; $\beta/H_* = 4200$; $g_* = 130.0 $; $T_* = 652 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (500,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0420$; $\beta/H_* = 2800$; $g_* = 130.0 $; $T_* = 619 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (500,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0520$; $\beta/H_* = 2000$; $g_* = 130.0 $; $T_* = 580 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (500,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0650$; $\beta/H_* = 1400$; $g_* = 130.0 $; $T_* = 533 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (500,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0880$; $\beta/H_* = 1900$; $g_* = 130.0 $; $T_* = 470 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (500,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1500$; $\beta/H_* = 540$; $g_* = 130.0 $; $T_* = 374 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (550,1500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0120$; $\beta/H_* = 17000$; $g_* = 130.0 $; $T_* = 801 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (550,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0160$; $\beta/H_* = 11000$; $g_* = 130.0 $; $T_* = 776 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (550,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0200$; $\beta/H_* = 7900$; $g_* = 130.0 $; $T_* = 750 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (550,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0260$; $\beta/H_* = 5600$; $g_* = 130.0 $; $T_* = 723 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (550,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0320$; $\beta/H_* = 4000$; $g_* = 130.0 $; $T_* = 693 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (550,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0390$; $\beta/H_* = 2900$; $g_* = 130.0 $; $T_* = 660 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (550,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0470$; $\beta/H_* = 2100$; $g_* = 130.0 $; $T_* = 621 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (550,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0580$; $\beta/H_* = 1300$; $g_* = 130.0 $; $T_* = 574 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (550,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0760$; $\beta/H_* = 900$; $g_* = 130.0 $; $T_* = 512 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (550,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1200$; $\beta/H_* = 290$; $g_* = 130.0 $; $T_* = 420 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (600,1600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$; $\beta/H_* = 15000$; $g_* = 130.0 $; $T_* = 843 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (600,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0150$; $\beta/H_* = 11000$; $g_* = 130.0 $; $T_* = 818 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (600,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0200$; $\beta/H_* = 7500$; $g_* = 130.0 $; $T_* = 791 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (600,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0240$; $\beta/H_* = 5400$; $g_* = 130.0 $; $T_* = 763 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (600,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0300$; $\beta/H_* = 3900$; $g_* = 130.0 $; $T_* = 733 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (600,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0360$; $\beta/H_* = 2900$; $g_* = 130.0 $; $T_* = 700 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (600,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0430$; $\beta/H_* = 2100$; $g_* = 130.0 $; $T_* = 661 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (600,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0520$; $\beta/H_* = 1400$; $g_* = 130.0 $; $T_* = 614 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (600,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0670$; $\beta/H_* = 970$; $g_* = 130.0 $; $T_* = 553 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (600,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.1000$; $\beta/H_* = 540$; $g_* = 130.0 $; $T_* = 464 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (650,1700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$; $\beta/H_* = 15000$; $g_* = 130.0 $; $T_* = 883 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (650,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0140$; $\beta/H_* = 10000$; $g_* = 130.0 $; $T_* = 857 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (650,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0180$; $\beta/H_* = 7200$; $g_* = 130.0 $; $T_* = 831 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (650,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0230$; $\beta/H_* = 5300$; $g_* = 130.0 $; $T_* = 803 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (650,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0280$; $\beta/H_* = 3800$; $g_* = 130.0 $; $T_* = 772 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (650,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0330$; $\beta/H_* = 2800$; $g_* = 130.0 $; $T_* = 739 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (650,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0390$; $\beta/H_* = 2100$; $g_* = 130.0 $; $T_* = 700 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (650,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0470$; $\beta/H_* = 1400$; $g_* = 130.0 $; $T_* = 653 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (650,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0590$; $\beta/H_* = 950$; $g_* = 130.0 $; $T_* = 592 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (650,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0850$; $\beta/H_* = 610$; $g_* = 130.0 $; $T_* = 505 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (650,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.6400$; $\beta/H_* = 19$; $g_* = 130.0 $; $T_* = 260 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (700,1800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$; $\beta/H_* = 13000$; $g_* = 130.0 $; $T_* = 922 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (700,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0140$; $\beta/H_* = 9300$; $g_* = 130.0 $; $T_* = 896 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (700,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0180$; $\beta/H_* = 7000$; $g_* = 130.0 $; $T_* = 869 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (700,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0210$; $\beta/H_* = 5200$; $g_* = 130.0 $; $T_* = 841 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (700,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0250$; $\beta/H_* = 3900$; $g_* = 130.0 $; $T_* = 810 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (700,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0310$; $\beta/H_* = 2900$; $g_* = 130.0 $; $T_* = 777 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (700,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0360$; $\beta/H_* = 2100$; $g_* = 130.0 $; $T_* = 738 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (700,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0430$; $\beta/H_* = 1400$; $g_* = 130.0 $; $T_* = 691 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (700,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0520$; $\beta/H_* = 920$; $g_* = 130.0 $; $T_* = 630 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (700,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0730$; $\beta/H_* = 580$; $g_* = 130.0 $; $T_* = 544 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (700,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.2400$; $\beta/H_* = 130$; $g_* = 130.0 $; $T_* = 356 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (750,1900)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$; $\beta/H_* = 13000$; $g_* = 130.0 $; $T_* = 960 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (750,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0140$; $\beta/H_* = 8900$; $g_* = 130.0 $; $T_* = 934 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (750,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0170$; $\beta/H_* = 6600$; $g_* = 130.0 $; $T_* = 907 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (750,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0200$; $\beta/H_* = 4900$; $g_* = 130.0 $; $T_* = 878 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (750,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0240$; $\beta/H_* = 3800$; $g_* = 130.0 $; $T_* = 848 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (750,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0280$; $\beta/H_* = 2800$; $g_* = 130.0 $; $T_* = 814 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (750,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0340$; $\beta/H_* = 2100$; $g_* = 130.0 $; $T_* = 775 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (750,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0390$; $\beta/H_* = 1500$; $g_* = 130.0 $; $T_* = 728 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (750,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0470$; $\beta/H_* = 920$; $g_* = 130.0 $; $T_* = 668 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (750,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0640$; $\beta/H_* = 520$; $g_* = 130.0 $; $T_* = 582 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (800,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$; $\beta/H_* = 12000$; $g_* = 130.0 $; $T_* = 996 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (800,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0140$; $\beta/H_* = 8500$; $g_* = 130.0 $; $T_* = 970 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (800,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0160$; $\beta/H_* = 6500$; $g_* = 130.0 $; $T_* = 944 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (800,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0190$; $\beta/H_* = 4800$; $g_* = 130.0 $; $T_* = 915 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (800,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0230$; $\beta/H_* = 3600$; $g_* = 130.0 $; $T_* = 885 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (800,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0260$; $\beta/H_* = 2700$; $g_* = 130.0 $; $T_* = 851 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (800,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0300$; $\beta/H_* = 2000$; $g_* = 130.0 $; $T_* = 812 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (800,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0360$; $\beta/H_* = 1500$; $g_* = 130.0 $; $T_* = 765 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (800,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0420$; $\beta/H_* = 930$; $g_* = 130.0 $; $T_* = 705 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (850,2000)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0092$; $\beta/H_* = 14000$; $g_* = 130.0 $; $T_* = 1058 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (850,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$; $\beta/H_* = 11000$; $g_* = 130.0 $; $T_* = 1032 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (850,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0140$; $\beta/H_* = 8100$; $g_* = 130.0 $; $T_* = 1006 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (850,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0160$; $\beta/H_* = 6200$; $g_* = 130.0 $; $T_* = 980 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (850,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0180$; $\beta/H_* = 4800$; $g_* = 130.0 $; $T_* = 952 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (850,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0210$; $\beta/H_* = 3700$; $g_* = 130.0 $; $T_* = 921 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (850,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0240$; $\beta/H_* = 2700$; $g_* = 130.0 $; $T_* = 887 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (850,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0280$; $\beta/H_* = 2000$; $g_* = 130.0 $; $T_* = 849 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (850,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0330$; $\beta/H_* = 1400$; $g_* = 130.0 $; $T_* = 802 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (900,2100)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0094$; $\beta/H_* = 13000$; $g_* = 130.0 $; $T_* = 1093 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (900,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$; $\beta/H_* = 10000$; $g_* = 130.0 $; $T_* = 1068 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (900,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0130$; $\beta/H_* = 7700$; $g_* = 130.0 $; $T_* = 1042 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (900,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0160$; $\beta/H_* = 5900$; $g_* = 130.0 $; $T_* = 1016 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (900,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0180$; $\beta/H_* = 4500$; $g_* = 130.0 $; $T_* = 988 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (900,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0200$; $\beta/H_* = 3500$; $g_* = 130.0 $; $T_* = 958 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (900,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0220$; $\beta/H_* = 2700$; $g_* = 130.0 $; $T_* = 924 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (900,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0260$; $\beta/H_* = 2100$; $g_* = 130.0 $; $T_* = 886 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (950,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0096$; $\beta/H_* = 12000$; $g_* = 130.0 $; $T_* = 1128 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (950,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$; $\beta/H_* = 9100$; $g_* = 130.0 $; $T_* = 1103 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (950,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0130$; $\beta/H_* = 7000$; $g_* = 130.0 $; $T_* = 1077 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (950,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0150$; $\beta/H_* = 5600$; $g_* = 130.0 $; $T_* = 1051 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (950,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0170$; $\beta/H_* = 5000$; $g_* = 130.0 $; $T_* = 1024 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (950,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0190$; $\beta/H_* = 3400$; $g_* = 130.0 $; $T_* = 994 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (950,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0210$; $\beta/H_* = 2600$; $g_* = 130.0 $; $T_* = 961 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (1000,2200)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0082$; $\beta/H_* = 15000$; $g_* = 130.0 $; $T_* = 1186 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (1000,2300)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0097$; $\beta/H_* = 11000$; $g_* = 130.0 $; $T_* = 1161 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (1000,2400)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0110$; $\beta/H_* = 8600$; $g_* = 130.0 $; $T_* = 1137 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (1000,2500)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0130$; $\beta/H_* = 6700$; $g_* = 130.0 $; $T_* = 1112 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (1000,2600)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0150$; $\beta/H_* = 5200$; $g_* = 130.0 $; $T_* = 1087 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (1000,2700)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0160$; $\beta/H_* = 4100$; $g_* = 130.0 $; $T_* = 1060 \, \mathrm{GeV}$; [plot]
[ C: $(m_\phi, m_{Z'}) = (1000,2800)\, \mathrm{GeV}$ ] $\alpha_\theta = 0.0180$; $\beta/H_* = 3100$; $g_* = 130.0 $; $T_* = 1030 \, \mathrm{GeV}$; [plot]

[plot all points with these parameters]

Results for scenario: Scenario C

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 C

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