NLO-NNLL higgsino-like N2C1 cross sections

The following cross sections are for higgsino-like chargino-neutralino pair production (sum of χ̃+1χ̃02 and χ̃-1χ̃02, and also for each subprocess individually). 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
                        hadron colliders}",
      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("C1N2", "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 χ̃02χ̃+1 and χ̃02χ̃-1 production at sqrt(s) = 13 TeV

mχ̃ [GeV] σ [fb] uncertainty [fb]
50 114284 161.92
75 16624.9 20.048
100 5580.7 6.313
125 2483.6 2.7093
150 1288.91 1.3686
175 738.22 0.764
200 453.28 0.4622
225 293.16 0.29329
250 197.405 0.1932
275 137.29 0.13254
300 98.03 0.09295
325 71.554 0.06672
350 53.199 0.04737
375 40.196 0.03536
400 30.7933 0.026788
425 23.88 0.020751
450 18.715 0.016102
475 14.8062 0.012699
500 11.8131 0.010045
525 9.4955 0.008008
550 7.6861 0.006435
575 6.2595 0.005138
600 5.1236 0.004178
625 4.2167 0.0034175
650 3.48742 0.0028127
675 2.89627 0.0023241
700 2.41412 0.0019279
725 2.02366 0.0016144
750 1.69955 0.0013592
775 1.43165 0.0011415
800 1.20943 0.0009617
825 1.02482 0.0008219
850 0.86974 0.0006919
875 0.74021 0.0005882
900 0.63125 0.0005009
925 0.53928 0.00042774
950 0.46163 0.00036756
975 0.395921 0.00031523
1000 0.340107 0.00027127
1025 0.292632 0.00023432
1050 0.25222 0.00020319
1075 0.217729 0.00017734
1100 0.188126 0.00015539
1125 0.162811 0.00013732
1150 0.141055 0.00012242
1175 0.122329 0.00010995
1200 0.106257 0.00010085
1225 0.092452 9.553e-05
1250 0.080544 9.471e-05
1275 0.068585 5.575e-05
1300 0.059636 4.823e-05
1325 0.051893 4.2266e-05
1350 0.045192 3.9207e-05
1375 0.0394019 3.5491e-05
1400 0.0343581 3.2142e-05
1425 0.0299761 2.8859e-05
1450 0.0261754 2.0601e-05
1475 0.0228232 2.2289e-05
1500 0.0199319 1.9898e-05
1525 0.017816 6.83e-05
1550 0.0152217 1.2216e-05
1575 0.013301 1.0696e-05
1600 0.0115944 1.208e-05
1625 0.0101633 8.25e-06
1650 0.0088756 7.411e-06
1675 0.0079673 1.9185e-05
1700 0.0068867 1.5441e-05
1725 0.0059258 5.04e-06
1750 0.0051844 4.4138e-06
1775 0.0045465 3.7743e-06
1800 0.00397534 5.106e-06
1825 0.00347759 2.9157e-06
1850 0.00304093 2.5653e-06
1875 0.00273125 3.2457e-05
1900 0.00298786 6.968e-05
1925 0.00202704 1.8712e-06
1950 0.00177839 1.5993e-05
1975 0.00154858 1.4321e-06
2000 0.00135462 1.2561e-06

NLO+NNLL Higgsino cross sections for χ̃02χ̃+1 production at sqrt(s) = 13 TeV

mχ̃ [GeV] σ [fb] uncertainty [fb]
50 66903 96.42
75 9983.6 12.35
100 3416.2 3.977
125 1544.8 1.742
150 813.06 0.8958
175 471.56 0.5027
200 292.85 0.3089
225 191.38 0.1966
250 130.12 0.1306
275 91.306 0.08973
300 65.742 0.06342
325 48.365 0.04585
350 36.226 0.03289
375 27.563 0.02471
400 21.255 0.01883
425 16.587 0.01473
450 13.077 0.01149
475 10.404 0.00906
500 8.3457 0.007204
525 6.7428 0.005772
550 5.4847 0.00466
575 4.4876 0.003744
600 3.689 0.003059
625 3.0486 0.002513
650 2.5316 0.002077
675 2.1105 0.001723
700 1.7654 0.001435
725 1.486 0.001207
750 1.2523 0.00102
775 1.0583 0.0008601
800 0.89678 0.0007274
825 0.76222 0.0006238
850 0.6485 0.0005271
875 0.55337 0.0004497
900 0.47306 0.0003843
925 0.40505 0.0003286
950 0.34748 0.0002837
975 0.29864 0.0002441
1000 0.25705 0.0002108
1025 0.22159 0.0001828
1050 0.19135 0.0001592
1075 0.16549 0.0001397
1100 0.14322 0.0001228
1125 0.12416 0.0001093
1150 0.10774 9.831e-05
1175 0.093576 8.915e-05
1200 0.081417 8.285e-05
1225 0.070966 7.987e-05
1250 0.061935 8.096e-05
1275 0.052416 4.391e-05
1300 0.045601 3.81e-05
1325 0.039693 3.335e-05
1350 0.034571 3.066e-05
1375 0.030144 2.742e-05
1400 0.026288 2.455e-05
1425 0.022931 2.18e-05
1450 0.020051 1.64e-05
1475 0.017453 1.658e-05
1500 0.015232 1.448e-05
1525 0.013428 2.05e-05
1550 0.011649 9.798e-06
1575 0.010174 8.585e-06
1600 0.0088408 8.897e-06
1625 0.0077638 6.596e-06
1650 0.0067742 5.825e-06
1675 0.0060864 1.22e-05
1700 0.0052491 9.79e-06
1725 0.0045088 4.009e-06
1750 0.0039396 3.513e-06
1775 0.0034506 3.025e-06
1800 0.0029925 2.835e-06
1825 0.0026312 2.337e-06
1850 0.0022968 2.055e-06
1875 0.0020345 6.897e-06
1900 0.0020282 1.41e-05
1925 0.0015256 1.411e-06
1950 0.0012974 4.063e-06
1975 0.0011602 1.093e-06
2000 0.0010092 1.009e-06

NLO+NNLL Higgsino cross sections for χ̃02χ̃-1 production at sqrt(s) = 13 TeV

mχ̃ [GeV] σ [fb] uncertainty [fb]
50 47381 65.5
75 6641.3 7.698
100 2164.5 2.336
125 938.8 0.9673
150 475.85 0.4728
175 266.66 0.2613
200 160.43 0.1533
225 101.78 0.09669
250 67.285 0.0626
275 45.984 0.04281
300 32.288 0.02953
325 23.189 0.02087
350 16.973 0.01448
375 12.633 0.01065
400 9.5383 0.007958
425 7.293 0.006021
450 5.638 0.004612
475 4.4022 0.003639
500 3.4674 0.002841
525 2.7527 0.002236
550 2.2014 0.001775
575 1.7719 0.001394
600 1.4346 0.001119
625 1.1681 0.0009045
650 0.95582 0.0007357
675 0.78577 0.0006011
700 0.64872 0.0004929
725 0.53766 0.0004074
750 0.44725 0.0003392
775 0.37335 0.0002814
800 0.31265 0.0002343
825 0.2626 0.0001981
850 0.22124 0.0001648
875 0.18684 0.0001385
900 0.15819 0.0001166
925 0.13423 9.914e-05
950 0.11415 8.386e-05
975 0.097281 7.113e-05
1000 0.083057 6.047e-05
1025 0.071042 5.152e-05
1050 0.06087 4.399e-05
1075 0.052239 3.764e-05
1100 0.044906 3.259e-05
1125 0.038651 2.802e-05
1150 0.033315 2.411e-05
1175 0.028753 2.08e-05
1200 0.02484 1.8e-05
1225 0.021486 1.566e-05
1250 0.018609 1.375e-05
1275 0.016169 1.184e-05
1300 0.014035 1.013e-05
1325 0.0122 8.916e-06
1350 0.010621 8.547e-06
1375 0.0092579 8.071e-06
1400 0.0080701 7.592e-06
1425 0.0070451 7.059e-06
1450 0.0061244 4.201e-06
1475 0.0053702 5.709e-06
1500 0.0046999 5.418e-06
1525 0.004388 4.78e-05
1550 0.0035727 2.418e-06
1575 0.003127 2.111e-06
1600 0.0027536 3.183e-06
1625 0.0023995 1.654e-06
1650 0.0021014 1.586e-06
1675 0.0018809 6.985e-06
1700 0.0016376 5.651e-06
1725 0.001417 1.031e-06
1750 0.0012448 9.008e-07
1775 0.0010959 7.493e-07
1800 0.00098284 2.271e-06
1825 0.00084639 5.787e-07
1850 0.00074413 5.103e-07
1875 0.00069675 2.556e-05
1900 0.00095966 5.558e-05
1925 0.00050144 4.602e-07
1950 0.00048099 1.193e-05
1975 0.00038838 3.391e-07
2000 0.00034542 2.471e-07

-- BasilSchneider - 2018-11-14

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