openloops – Hepforge

The OpenLoops Process Library

The following libraries are available within OpenLoops and contain all relevant matrix elements to compute NLO QCD+EW corrections, including tree and one-loop color- and helicity-correlations and (mostly) real radiation amplitudes. The libraries for EW corrections end with "_ew" and also include all subleading QCD-EW mixed one-loop and real radiation, as well as photon-induced contributions.

Libraries ending with "2" contain loop-squared amplitudes (with closed fermion loops) for all Boson-pair production processes with any combination of vector bosons and Higgs bosons plus up to two additional jets. They also always include loop-squared color- and helicity-correlations.

Note: the set of available processes, in particular at NLO EW, will be further extended in the near future. However, please do not hesitate to send us a request for a process you would like to study via the following form or via Email.

Categories
t ➞ Wb+jets
pp ➞ tttt+jets
pp ➞ ttVV+jets
pp ➞ tt+jets
pp ➞ tV+jets
pp ➞ tH+jets
pp ➞ t+jets
pp ➞ jets
pp ➞ Vtt+jets
pp ➞ VVV+jets
pp ➞ VV+jets
pp ➞ V+jets
pp ➞ Htt+jets
pp ➞ HV+jets
pp ➞ HHH+jets
pp ➞ HH+jets
pp ➞ H+jets
ee ➞ vv+jets
ee ➞ v+jets
ee ➞ tttt+jets
ee ➞ tt+jets
ee ➞ llllbb
ee ➞ hllllbb
ee ➞ Htt+jets
HEFT pp ➞ HH+jets
HEFT pp ➞ H+jets

Library	Process	Decription
tbln	t ➞ lnb(j)	Top-quark decay via an off-shell W-boson (with emission of a gluon).
tbqq	t ➞ qqb(j)	Hadronic top-quark decay via an off-shell W-boson (with emission of a gluon).
tbw	t ➞ wb(j)	Top-quark decay (with emission of a gluon).

	pp ➞ tttt+jets
pptttt	pp ➞ tttt	Four-Top production.

	pp ➞ ttVV+jets
Library	Process	Decription
ppaatt	pp ➞ ttAA	Top-quark pair and two photons production.
ppwwtt	pp ➞ ttWW	On-shell W-pair plus t t-bar production.
ppzatt	pp ➞ ttZA	On-shell Z and photon plus t t-bar production.
ppzztt	pp ➞ ttZZ	On-shell Z-pair plus t t-bar production.

	pp ➞ tt+jets
Library	Process	Decription
pptt	pp ➞ tt	Top-quark pair production.
ppttj	pp ➞ ttj	Top-quark pair production with an additional jet.
ppttjj	pp ➞ ttjj	Top-quark pair production with two additional jets.

	pp ➞ tV+jets
Library	Process	Decription
pptaj	pp ➞ tAj	Single top plus photon and jet production.
pptajj	pp ➞ tAjj	Single top plus photon and two jets production (both 4 and 5 flavour scheme). Note that in the 5FS there is overlap with tAW production with a hadronic W decay. No real corrections included.
pptllj	pp ➞ tllj	Single top plus off-shell Z/A boson and one jet production with leptonic decays (l+l- and nn).
pptlljj	pp ➞ tlljj	Single top plus off-shell Z/A boson and two jets production with leptonic decays (l+l- and nn, both 4 and 5 flavour scheme). Note that in the 5FS there is overlap with tZW production with a hadronic W decay. No real corrections included.
pptln	pp ➞ tln	Single top plus off-shell W+/W- boson production with leptonic decays. No real corrections included.
pptw	pp ➞ tW	Single top plus on-shell W+/W- production. No real corrections included.
pptzj	pp ➞ tZj	Single top plus on-shell Z and one jet production.
pptzjj	pp ➞ tZjj	Single top plus on-shell Z and two jets production (both 4 and 5 flavour scheme). Note that in the 5FS there is overlap with tZW production with a hadronic W decay. No real corrections included.

	pp ➞ tH+jets
Library	Process	Decription
ppthj	pp ➞ tHj	Single top plus Higgs boson production and one jet.
ppthjj	pp ➞ tHjj	Single top plus Higgs boson production and two jets (both 4 and 5 flavour scheme). Note that in the 5FS there is overlap with tHW production with a hadronic W decay. No real corrections included.

	pp ➞ t+jets
Library	Process	Decription
pptj	pp ➞ tj	Single top plus jet production.
pptjj	pp ➞ tjj	Single top plus two jets production (both 4 and 5 flavour scheme). Note that in the 5FS there is overlap with tW production with a hadronic W decay. No real corrections included.

	pp ➞ jets
Library	Process	Decription
ppjj	pp ➞ jj	Production of two jets.
ppjjj	pp ➞ jjj	Production of three jets.
ppjjjj	pp ➞ jjjj	Production of four jets; no real corrections included.

	pp ➞ Vtt+jets
Library	Process	Decription
ppatt	pp ➞ Att	Photon plus t t-bar production.
ppattj	pp ➞ Attj	Photon plus t t-bar jet production.
pplltt	pp ➞ lltt	Off-shell Z/A boson plus t t-bar production with leptonic decays (l+l- and nn)
ppllttj	pp ➞ llttj	Off-shell Z/A boson plus t t-bar jet production with leptonic decays (l+l- and nn)
pplntt	pp ➞ lntt	Off-shell W+/W- boson plus t t-bar production with leptonic decays
pplnttj	pp ➞ lnttj	Off-shell W+/W- boson plus t t-bar jet production with leptonic decays
ppwtt	pp ➞ Wtt	On-shell W+/W- plus t t-bar production.
ppwttj	pp ➞ Wttj	On-shell W+/W- plus t t-bar jet production.
ppztt	pp ➞ Ztt	On-shell Z plus t t-bar production.
ppzttj	pp ➞ Zttj	On-shell Z plus t t-bar jet production.

	pp ➞ VVV+jets
Library	Process	Decription
ppllaa	pp ➞ llAA	Production of an off-shell vector bosons (W/Z) with leptonic decay and two photons.
ppvvv	pp ➞ VVV	Production of three on-shell vector bosons (Photon, W, Z in all combinations).
ppvvvj	pp ➞ VVVj	Production of three on-shell vector bosons and a jet (Photon, W, Z in all combinations).

	pp ➞ VV+jets
Library	Process	Decription
ppaa	pp ➞ AA	Photon pair production
ppaaj	pp ➞ AAj	Photon pair plus jet production
ppaaj2	pp ➞ AAj	Loop-induced photon pair plus jet production from gluon fusion.
ppaajj	pp ➞ AAjj	Photon pair plus two jets production
ppaajj2	pp ➞ AAjj	Loop-squared photon pair plus two jets production.
pplla	pp ➞ llA	Off-shell Z/A boson and on-shell photon production with leptonic decays (l+l- and nn)
pplla2	gg ➞ llA	Loop-induced matrix elements for off-shell Z/A boson with leptonic decay (l+l- and nn) plus on-shell photon production in gluon fusion.
ppllaj	pp ➞ llAj	Off-shell Z/A boson and on-shell photon production plus jet with leptonic decays (l+l- and nn)
ppllaj2	gg ➞ llAj	Loop-squared matrix elements for off-shell Z/A boson with leptonic decay (l+l- and nn) plus on-shell photon and jet production.
ppllajj	pp ➞ llAjj	Off-shell Z/A boson and on-shell photon production plus two jets with leptonic decays (l+l- and nn)
ppllll	pp ➞ llll	Production of four leptons (all combinations of leptons and neutrinos).
ppllll2	gg ➞ llll	Loop-induced production of four leptons (all combinations of leptons and neutrinos) in gluon fusion.
ppllll2_onlyh	gg ➞ llll	Approximation 'onlyh'; Loop-induced production of four leptons (all combinations of leptons and neutrinos) in gluon fusion: only diagrams which contain a Higgs Yukawa coupling
ppllllj	pp ➞ llllj	Production of four leptons (all combinations of leptons and neutrinos) and a jet.
ppllllj2	pp ➞ llllj	Squared one-loop matrix elements for four lepton production (all combinations of leptons and neutrinos); gluon fusion (+qq splitting), i.e. gggllll and gqqllll where the four-lepton system is directly coupled to the quark loop.
ppllllj2_onlyh	gg ➞ llllj	Approximation 'onlyh'; Loop-induced production of four leptons (all combinations of leptons and neutrinos) in gluon fusion (+qq splitting), i.e. gggllll and gqqllll: only diagrams which contain a Higgs Yukawa coupling
ppllnnjj_vbs	pp ➞ llvvjj	W+W+ and W-W- vector boson scattering with different flavour leptonic decays at O(alpha_s^3alpha^4) (all channels) and O(alpha_s^1alpha^6) (only "uc channel", i.e. quark lines of different generations). For VBS approximation, calculate the same quark generation channels using the uc channel matrix elements and a symmetry factor.
pplna	pp ➞ lnA	Off-shell W+/W- boson and on-shell photon production with leptonic decays
pplnaj	pp ➞ lnAj	Off-shell W+/W- boson and on-shell photon production plus jet with leptonic decays
pplnajj	pp ➞ lnAjj	Off-shell W+/W- boson and on-shell photon production plus two jets with leptonic decays
ppvv2	gg ➞ VV	Loop-induced matrix elements for on-shell vector boson pair production (Photon, W, Z in all combinations) in gluon fusion.
ppvvj2	gg ➞ VVj	Loop-squared matrix elements for on-shell vector boson pair production (Photon, W, Z in all combinations) plus one jet.
ppwa	pp ➞ WA	On-shell W+/W- boson and photon production
ppwaj	pp ➞ WAj	On-shell W+/W- boson and photon plus jet production
ppwajj	pp ➞ WAjj	On-shell W+/W- boson and photon plus two jets production
ppww	pp ➞ WW	On-shell W boson pair production
ppwwj	pp ➞ WWj	On-shell W boson pair plus jet production
ppwwjj	pp ➞ WWjj	On-shell W boson pair (W+W-, W+W+, W-W-) plus two jets production
ppza	pp ➞ ZA	On-shell Z boson and photon production
ppzaj	pp ➞ ZAj	On-shell Z boson and photon plus jet production
ppzajj	pp ➞ ZAjj	On-shell Z boson and photon plus two jets production
ppzw	pp ➞ ZW	On-shell Z and W+/W- boson production
ppzwj	pp ➞ ZWj	On-shell Z and W+/W- boson plus jet production
ppzwjj	pp ➞ ZWjj	On-shell Z and W+/W- boson plus two jets production
ppzz	pp ➞ ZZ	On-shell Z boson pair production
ppzzj	pp ➞ ZZj	On-shell Z boson pair plus jet production
ppzzjj	pp ➞ ZZjj	Z boson pair plus two jets production

	pp ➞ V+jets
Library	Process	Decription
ppaj	pp ➞ Aj	Photon plus one jet production
ppaj2	pp ➞ Aj	Loop-induced photon plus jet production from gluon fusion.
ppajj	pp ➞ Ajj	Photon plus two jets production
ppajj2	pp ➞ Ajj	Loop-squared photon plus two jets production.
ppajjj	pp ➞ Ajjj	Photon plus three jets production
ppll	pp ➞ ll	Off-shell Z/A boson production with leptonic decays (l+l- and nn)
ppll2	pp ➞ ll	Loop-induced off-shell Z boson production with leptonic decay (l+l- and nn) from gluon fusion.
ppllj	pp ➞ llj	Off-shell Z/A boson plus one jet production with leptonic decays (l+l- and nn)
ppllj2	pp ➞ llj	Loop-squared off-shell Z/A boson production with leptonic decay (l+l- and nn) plus jet.
ppllj_nf5	pp ➞ llj	Off-shell Z/A boson plus one jet production with leptonic decays (l+l- and nn), nf=5 (no top loops).
pplljj	pp ➞ lljj	Off-shell Z/A boson plus two jets production with leptonic decays (l+l- and nn)
pplljjj	pp ➞ lljjj	Off-shell Z/A boson plus three jets production with leptonic decays (l+l-)
ppln	pp ➞ ln	Off-shell W+/W- boson production with leptonic decays
ppln_ckm	pp ➞ ln	Off-shell W+/W- boson production with leptonic decay with non-diagonal CKM
pplnj	pp ➞ lnj	Off-shell W+/W- boson plus one jet production with leptonic decays
pplnj_ckm	pp ➞ lnj	Off-shell W+/W- boson production with leptonic decay and a jet with non-diagonal CKM
pplnj_nf5	pp ➞ lnj	Off-shell W+/W- boson plus one jet production with leptonic decays, nf=5 (no top loops).
pplnjj	pp ➞ lnjj	Off-shell W+/W- boson plus two jets production with leptonic decays
pplnjj_ckm	pp ➞ lnj	Off-shell W+/W- boson production with leptonic decay with non-diagonal CKM
pplnjjj	pp ➞ lnjjj	Off-shell W+/W- boson plus three jets production with leptonic decays
ppnnjjj	pp ➞ nnjjj	Off-shell Z/A boson plus three jets production with neutrino decays
ppw	pp ➞ W	On-shell W+/W- boson production
ppw_ckm	pp ➞ W	On-shell W+/W- boson production with non-diagonal CKM
ppwj	pp ➞ Wj	On-shell W+/W- boson plus one jet production
ppwj_ckm	pp ➞ Wj	On-shell W+/W- boson production with non-diagonal CKM
ppwjj	pp ➞ Wjj	On-shell W+/W- boson plus two jets production
ppwjj_ckm	pp ➞ Wjj	On-shell W+/W- boson production with non-diagonal CKM
ppwjjj	pp ➞ Wjjj	On-shell W+/W- boson plus three jets production
ppz	pp ➞ Z	On-shell Z boson production
ppz2	pp ➞ Z	Loop-induced on-shell Z boson production from gluon fusion.
ppzj	pp ➞ Zj	On-shell Z boson plus one jet production
ppzj2	pp ➞ Zj	Loop-squared on-shell Z boson plus jet production.
ppzjj	pp ➞ Zjj	On-shell Z boson plus two jets production
ppzjjj	pp ➞ Zjjj	On-shell Z boson plus three jets production

	pp ➞ Htt+jets
Library	Process	Decription
pphtt	pp ➞ Htt	Higgs plus t t-bar production.
pphttj	pp ➞ Httj	Higgs plus t t-bar jet production.

	pp ➞ HV+jets
Library	Process	Decription
pphll	pp ➞ Hll	Higgs plus off-shell Z/A boson production with leptonic decays (l+l- and nn)
pphll2	gg ➞ Hll	Loop-induced matrix elements for Higgs plus off-shell Z boson production with leptonic decays (l+l- and nn) in gluon fusion.
pphllj	pp ➞ Hllj	Higgs plus off-shell Z/A boson and one jet production with leptonic decays (l+l- and nn)
pphllj2	gg ➞ Hllj	Loop-squared matrix elements for Higgs plus off-shell Z/A boson production and a jet with leptonic decays (l+l- and nn).
pphlljj	pp ➞ Hlljj	Higgs plus off-shell Z/A boson and two jets production with leptonic decays (l+l- and nn)
pphln	pp ➞ Hln	Higgs plus off-shell W+/W- boson production with leptonic decay
pphlnj	pp ➞ Hlnj	Higgs plus off-shell W+/W- boson and one jet production with leptonic decay
pphlnjj	pp ➞ Hlnjj	Higgs plus off-shell W+/W- boson and two jets production with leptonic decay
pphw	pp ➞ HW	Higgs plus on-shell W+/W- boson production
pphwj	pp ➞ HWj	Higgs plus on-shell W+/W- boson and one jet production
pphwjj	pp ➞ HWjj	Higgs plus on-shell W+/W- boson and two jets production
pphz	pp ➞ HZ	Higgs plus on-shell Z boson production
pphz2	gg ➞ HZ	Loop-induced matrix elements for Higgs plus on-shell Z boson in gluon fusion.
pphzj	pp ➞ HZj	Higgs plus on-shell Z boson and one jet production
pphzj2	gg ➞ HZj	Loop-squared matrix elements for Higgs plus on-shell Z boson and a jet.
pphzjj	pp ➞ HZjj	Higgs plus on-shell Z boson and two jets production

	pp ➞ HHH+jets
Library	Process	Decription
pphhh2	pp ➞ HHH	Loop-induced triple-Higgs production.

	pp ➞ HH+jets
Library	Process	Decription
pphh2	pp ➞ HH	Loop-induced Higgs pair production.
pphhj2	pp ➞ HHj	Loop-squared Higgs pair production with a jet.
pphhjj	pp ➞ HHjj	Vector boson fusion-like Higgs-pair plus two jets production at O(alpha_s*alpha^4). All diagrams included, i.e. no VBF diagram selection.

	pp ➞ H+jets
Library	Process	Decription
bbh	QQ ➞ H	Higgs production from initial state b/c quarks. Can be used with massless b/c quarks with finite Yukawa coupling.
bbhj	QQ ➞ Hj	Higgs production from (at least one) initial state b/c quark(s). Can be used with massless b/c quarks with finite Yukawa coupling.
pph2	pp ➞ H	Loop induced Higgs production (massive b quarks and Yukawas allowed).
pphbb	pp ➞ Hbb	Higgs production plus two jets with b/c quarks in the initial and/or final state. Can be used with massless b/c quarks with finite Yukawa coupling.
pphbbj	pp ➞ Hbbj	Higgs production plus three jets with b/c quarks in the initial and/or final state. Can be used with massless b/c quarks with finite Yukawa coupling.
pphj2	pp ➞ Hj	Loop induced Higgs plus jet production (massive b quarks allowed, but not as external states; Yukawas allowed).
pphjj2	pp ➞ Hjj	Loop induced Higgs plus two jets production (massive b quarks allowed, but not as external states; Yukawas allowed).
pphjj_vbf	pp ➞ Hjj	Production of Higgs plus two jets. Complete alpha_s*alpha^3 contribution including vector boson fusion and Higgs Strahlung-like production HV(->jj).

	ee ➞ vv+jets
Library	Process	Decription
eevvjj	ee ➞ vvjj	Production of two on-shell vector bosons (Photon, W, Z in all combinations) and two jets

	ee ➞ v+jets
Library	Process	Decription
eevjj	ee ➞ vjj	Production of an on-shell vector bosons (Photon, W, Z in all combinations) and two jets

	ee ➞ tttt+jets
Library	Process	Decription
eetttt	ee ➞ tttt	t t-bar t t-bar production in e+e-.
eettttj	ee ➞ tttt	t t-bar t t-bar and one jet production in e+e-.

	ee ➞ tt+jets
Library	Process	Decription
eett	ee ➞ tt	Top-quark pair production in e+e-.
eettj	ee ➞ ttj	Top-quark pair production and one jet in e+e-.

	ee ➞ llllbb
Library	Process	Decription
eellllbb	ee ➞ llllbb	off-shell t t-bar production and decay in e+e- (all lepton combinations).

	ee ➞ hllllbb
Library	Process	Decription
eehllllbb	ee ➞ hllllbb	Higgs plus off-shell t t-bar production and decay in l+l- (e+mu-vv,e-mu+vv,e+e-vv).

	ee ➞ Htt+jets
Library	Process	Decription
eehtt	ee ➞ Htt	Higgs plus t t-bar production in e+e-.
eehttj	ee ➞ Httj	Higgs plus t t-bar production and one jet in e+e-.

	HEFT pp ➞ HH+jets
Library	Process	Decription
heftpphh	pp ➞ HH	Higgs-pair production in the Higgs effective field theory.
heftpphhj	pp ➞ HHj	Higgs-pair plus jet production in the Higgs effective field theory.
heftpphhjj	pp ➞ HHjj	Higgs-pair plus two jet production in the Higgs effective field theory.

	HEFT pp ➞ H+jets
Library	Process	Decription
heftpph	pp ➞ H	Higgs production in the Higgs effective field theory.
heftpphj	pp ➞ Hj	Higgs plus jet production in the Higgs effective field theory.
heftpphjj	pp ➞ Hjj	Higgs plus two jets production in the Higgs effective field theory.
heftpphjjj	pp ➞ Hjjj	Higgs plus three jets production in the Higgs effective field theory.