# NLO-NNLL higgsino-like cross sections

The following cross sections are for higgsino-like chargino-neutralino pair production (sum of χ̃+1χ̃02, χ̃-1χ̃02, χ̃+1χ̃01, χ̃-1χ̃01, χ̃02χ̃01, and χ̃+1χ̃+1). They have been calculated for sqrt(s) = 13 TeV at NLO-NNLL using Resummino 2.0.1 from B. Fuks et al. The Monte Carlo PDF set with 100 replicas PDF4LHC15_mc is used, which is a statistical combination of CT14, MMHT14 and NNPDF3.0, all using αs(mZ2) = 0.118. The use of this combination of PDF sets is recommended for searches for new Physics by the PDF4LHC Working Group. See https://arxiv.org/abs/1510.03865 for more details.

The cross sections are computed for degenerate charginos and neutralinos. The mass is denoted as mχ̃. The following sentence describes all the assumptions in the cross section calculations and is suitable to be included in the description of the interpretation of your results:

```The production cross sections are computed at NLO plus
next-to-next-to-leading-log (NNLL) precision in a limit of mass-degenerate
higgsino \$\chiz_2\$, \$\chipm_1\$, and \$\chiz_1\$ with all the other sparticles
assumed to be heavy and decoupled.
```

When using these cross sections, some references have to be cited. They can be found below in bibtex format. The references can also be downloaded from this Twiki, see attachments at the bottom.

Resummino:

```@article{Debove:2010kf,
author         = "Debove, Jonathan and Fuks, Benjamin and Klasen, Michael",
title          = "{Threshold resummation for gaugino pair production at
journal        = "Nucl. Phys. B",
volume         = "842",
year           = "2011",
pages          = "51-85",
doi            = "10.1016/j.nuclphysb.2010.08.016",
eprint         = "1005.2909",
archivePrefix  = "arXiv",
primaryClass   = "hep-ph",
reportNumber   = "IPHC-PHENO-10-02, LPSC-10-050",
SLACcitation   = "%%CITATION = ARXIV:1005.2909;%%"
}
@article{Fuks:2012qx,
author         = "Fuks, Benjamin and Klasen, Michael and Lamprea, David R.
and Rothering, Marcel",
title          = "{Gaugino production in proton-proton collisions at a
center-of-mass energy of 8 TeV}",
journal        = "JHEP",
volume         = "10",
pages          = "081",
doi            = "10.1007/JHEP10(2012)081",
year           = "2012",
eprint         = "1207.2159",
archivePrefix  = "arXiv",
primaryClass   = "hep-ph",
reportNumber   = "IPHC-PHENO-12-07, MS-TP-12-05",
SLACcitation   = "%%CITATION = ARXIV:1207.2159;%%",
}
@article{Fuks:2013vua,
author         = "Fuks, Benjamin and Klasen, Michael and Lamprea, David R.
and Rothering, Marcel",
title          = "{Precision predictions for electroweak superpartner
production at hadron colliders with {\sc Resummino}}",
journal        = "Eur. Phys. J. C",
volume         = "73",
pages          = "2480",
doi            = "10.1140/epjc/s10052-013-2480-0",
year           = "2013",
eprint         = "1304.0790",
archivePrefix  = "arXiv",
primaryClass   = "hep-ph",
reportNumber   = "CERN-PH-TH-2013-064, IPHC-PHENO-13-02, MS-TP-13-06",
SLACcitation   = "%%CITATION = ARXIV:1304.0790;%%",
}
@article{Fiaschi:2018hgm,
author         = "Fiaschi, Juri and Klasen, Michael",
title          = "{Neutralino-chargino pair production at NLO+NLL with
resummation-improved parton density functions for LHC Run
II}",
journal        = "Phys. Rev. D",
volume         = "98",
year           = "2018",
number         = "5",
pages          = "055014",
doi            = "10.1103/PhysRevD.98.055014",
eprint         = "1805.11322",
archivePrefix  = "arXiv",
primaryClass   = "hep-ph",
reportNumber   = "MS-TP-18-19",
SLACcitation   = "%%CITATION = ARXIV:1805.11322;%%"
}
```

LHAPDF:

```@article{Buckley:2014ana,
author         = "Buckley, Andy and Ferrando, James and Lloyd, Stephen and
Nordström, Karl and Page, Ben and Rüfenacht, Martin and
Schönherr, Marek and Watt, Graeme",
title          = "{LHAPDF6: parton density access in the LHC precision
era}",
journal        = "Eur. Phys. J.",
volume         = "C75",
year           = "2015",
pages          = "132",
doi            = "10.1140/epjc/s10052-015-3318-8",
eprint         = "1412.7420",
archivePrefix  = "arXiv",
primaryClass   = "hep-ph",
reportNumber   = "GLAS-PPE-2014-05, MCNET-14-29, IPPP-14-111, DCPT-14-222",
SLACcitation   = "%%CITATION = ARXIV:1412.7420;%%"
}
```

PDF4LHC:

```@article{Butterworth:2015oua,
author         = "Butterworth, Jon and others",
title          = "{PDF4LHC recommendations for LHC Run II}",
journal        = "J. Phys.",
volume         = "G43",
year           = "2016",
pages          = "023001",
doi            = "10.1088/0954-3899/43/2/023001",
eprint         = "1510.03865",
archivePrefix  = "arXiv",
primaryClass   = "hep-ph",
reportNumber   = "OUTP-15-17P, SMU-HEP-15-12, TIF-UNIMI-2015-14,
LCTS-2015-27, CERN-PH-TH-2015-249",
SLACcitation   = "%%CITATION = ARXIV:1510.03865;%%"
}
@article{Carrazza:2015hva,
author         = "Carrazza, Stefano and Latorre, José I. and Rojo, Juan
and Watt, Graeme",
title          = "{A compression algorithm for the combination of PDF
sets}",
journal        = "Eur. Phys. J.",
volume         = "C75",
year           = "2015",
pages          = "474",
doi            = "10.1140/epjc/s10052-015-3703-3",
eprint         = "1504.06469",
archivePrefix  = "arXiv",
primaryClass   = "hep-ph",
reportNumber   = "TIF-UNIMI-2015-2, OUTP-15-01P, IPPP-15-22, DCPT-15-44",
SLACcitation   = "%%CITATION = ARXIV:1504.06469;%%"
}
@article{Watt:2012tq,
author         = "Watt, G. and Thorne, R. S.",
title          = "{Study of Monte Carlo approach to experimental
uncertainty propagation with MSTW 2008 PDFs}",
journal        = "JHEP",
volume         = "08",
year           = "2012",
pages          = "052",
doi            = "10.1007/JHEP08(2012)052",
eprint         = "1205.4024",
archivePrefix  = "arXiv",
primaryClass   = "hep-ph",
reportNumber   = "CERN-PH-TH-2012-132, LCTS-2012-11",
SLACcitation   = "%%CITATION = ARXIV:1205.4024;%%"
}
```

CT14:

```@article{Dulat:2015mca,
author         = "Dulat, Sayipjamal and Hou, Tie-Jiun and Gao, Jun and
Guzzi, Marco and Huston, Joey and Nadolsky, Pavel and
Pumplin, Jon and Schmidt, Carl and Stump, Daniel and Yuan,
C. P.",
title          = "{New parton distribution functions from a global analysis
of quantum chromodynamics}",
journal        = "Phys. Rev.",
volume         = "D93",
year           = "2016",
number         = "3",
pages          = "033006",
doi            = "10.1103/PhysRevD.93.033006",
eprint         = "1506.07443",
archivePrefix  = "arXiv",
primaryClass   = "hep-ph",
SLACcitation   = "%%CITATION = ARXIV:1506.07443;%%"
}
```

MMHT14:

```@article{Harland-Lang:2014zoa,
author         = "Harland-Lang, L. A. and Martin, A. D. and Motylinski, P.
and Thorne, R. S.",
title          = "{Parton distributions in the LHC era: MMHT 2014 PDFs}",
journal        = "Eur. Phys. J.",
volume         = "C75",
year           = "2015",
number         = "5",
pages          = "204",
doi            = "10.1140/epjc/s10052-015-3397-6",
eprint         = "1412.3989",
archivePrefix  = "arXiv",
primaryClass   = "hep-ph",
reportNumber   = "LCTS-2014-47, IPPP-14-97, DCPT-14-194",
SLACcitation   = "%%CITATION = ARXIV:1412.3989;%%"
}
```

NNPDF:

```@article{Ball:2014uwa,
author         = "Ball, Richard D. and others",
title          = "{Parton distributions for the LHC Run II}",
collaboration  = "NNPDF",
journal        = "JHEP",
volume         = "04",
year           = "2015",
pages          = "040",
doi            = "10.1007/JHEP04(2015)040",
eprint         = "1410.8849",
archivePrefix  = "arXiv",
primaryClass   = "hep-ph",
reportNumber   = "EDINBURGH-2014-15, IFUM-1034-FT, CERN-PH-TH-2013-253,
OUTP-14-11P, CAVENDISH-HEP-14-11",
SLACcitation   = "%%CITATION = ARXIV:1410.8849;%%"
}
```

To calculate these cross sections, this repository can be used. The SLHA files can be found there as well: wino.in and hino.in.

Should cross section information be needed for a mass that is not tabulated below, one can obtain it by using the ROOT macros provided under:

```/afs/cern.ch/user/a/amete/public/EWKGauginoCrossSections_13TeV
```

For this specific grid one needs to do:

```root -l 'get_gaugino.C("CN", "hino", mass)'
```

where mass is the mass of the sparticle in GeV. The result of the interpolation can be seen here.

### NLO+NNLL Higgsino cross sections for combined χ̃01χ̃02 and χ̃02χ̃+1 and χ̃02χ̃-1 and χ̃02χ̃+1 and χ̃02χ̃-1 and χ̃+1χ̃-1 production at sqrt(s) = 13 TeV

mχ̃ [GeV] σ [fb] uncertainty [fb]
50 412678 612.39
75 52147.7 63.066
100 17399.2 19.728
125 7731.4 8.4236
150 4007.83 4.2487
175 2293.07 2.3791
200 1406.5 1.4357
225 908.64 0.90868
250 611.17 0.6019
275 424.568 0.41151
300 302.815 0.28826
325 220.781 0.20674
350 163.964 0.14658
375 123.75 0.1093
400 94.6976 0.082706
425 73.353 0.063782
450 57.4254 0.049592
475 45.3842 0.039091
500 36.1709 0.030884
525 29.0449 0.024593
550 23.486 0.019737
575 19.1079 0.01581
600 15.6263 0.01278
625 12.849 0.010442
650 10.6171 0.0085824
675 8.81004 0.0070842
700 7.33784 0.0058686
725 6.14343 0.0049058
750 5.15638 0.0041183
775 4.34036 0.0034536
800 3.66385 0.0029052
825 3.10263 0.0024735
850 2.63165 0.0020843
875 2.23848 0.0017693
900 1.90805 0.0015046
925 1.62935 0.00128398
950 1.3942 0.00110132
975 1.19532 0.00094326
1000 1.02654 0.00081054
1025 0.883054 0.00069894
1050 0.76092 0.00060509
1075 0.656688 0.00052701
1100 0.567376 0.00046154
1125 0.49099 0.00040811
1150 0.42537 0.00036331
1175 0.368924 0.00032692
1200 0.320561 0.00030242
1225 0.279001 0.0002907
1250 0.243209 0.00029681
1275 0.207618 0.0001655
1300 0.180643 0.00014335
1325 0.157305 0.000125662
1350 0.137128 0.000116404
1375 0.119674 0.000106152
1400 0.10444 9.7594e-05
1425 0.0912582 8.9918e-05
1450 0.0796708 6.1256e-05
1475 0.0696334 7.7548e-05
1500 0.0609395 7.9236e-05
1525 0.0557797 0.00030139
1550 0.0465592 3.6122e-05
1575 0.0407445 3.1622e-05
1600 0.0356623 4.995e-05
1625 0.0312333 2.4524e-05
1650 0.0273392 2.1999e-05
1675 0.0244992 6.584e-05
1700 0.0212226 4.9787e-05
1725 0.0183605 1.4975e-05
1750 0.0160983 1.31126e-05
1775 0.0141416 1.12186e-05
1800 0.012491 1.6348e-05
1825 0.0108701 8.6684e-06
1850 0.00953036 7.6286e-06
1875 0.0089172 0.000174764
1900 0.0108243 0.00041826
1925 0.00640688 5.6524e-06
1950 0.00577897 9.0816e-05
1975 0.0049248 4.3178e-06
2000 0.00432855 3.7136e-06

-- BasilSchneider - 2018-11-14

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