Higgs production -Theory-
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1 iggs producion -Theory- iggs uning 0 Rober arlander Bergische Universiä Wupperal suppored by
2 iggs producion (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) s= 8 Te LC IGGS XS WG 0 - pp (NLO QCD) M [Ge]
3 (pp"+x) [pb] #$ s = 4 Te Spira, Djouadi, Graudenz, Zerwas 9, 93 Dawson 9 NLO LO M [Ge]
4 (pp"+x) [pb] #$ s = 4 Te R, Kilgore 0 Anasasiou, Melnikov 0 Ravindran, Smih, v. Neerven 03 NNLO NLO LO M [Ge]
5 Influence of heory
6 Influence of heory NNLO++
7 Influence of heory NNLO++ NLO
8 Influence of heory NNLO++ LO
9 Influence of heory errors
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11 Evens / 500 Me for 5 pb γγ M 30 Ge iggs signal M γγ (Ge)
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13 _
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15 _ W W
16 Gluon fusion (pp +X) [pb] - - pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) pp (NLO QCD) s= 8 Te M [Ge] LC IGGS XS WG 0 NLO: Spira, Djouadi, Graudenz, Zerwas 9, 93 Dawson 9 NNLO: Resummaion: R, Kilgore 0 Anasasiou, Melnikov 0 Ravindran, Smih, v. Neerven 03 Caani, de Florian, Grazzini, Nason 0 Ahrens, Becher, Neuber, Zhang 08 Elecroweak: Acis, Passarino, Surm, Uccirai 08 Agliei, Bonciani, Degrassi, icini 04 Degrassi, Maloni 04 Djouadi, Gambino 94 Mixed EW/QCD: Anasasiou, Boughezal, Periello 09 Fully differenial NNLO: Anasasiou, Melnikov, Periello 04 Caani, Grazzini 07
17 Gluon fusion (pp +X) [pb] - - pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) pp (NLO QCD) s= 8 Te M [Ge] LC IGGS XS WG 0 NLO: Spira, Djouadi, Graudenz, Zerwas 9, 93 Dawson 9 NNLO: Resummaion: ~80% R, Kilgore 0 Anasasiou, Melnikov 0 Ravindran, Smih, v. Neerven 03 Caani, de Florian, Grazzini, Nason 0 Ahrens, Becher, Neuber, Zhang 08 Elecroweak: Acis, Passarino, Surm, Uccirai 08 Agliei, Bonciani, Degrassi, icini 04 Degrassi, Maloni 04 Djouadi, Gambino 94 Mixed EW/QCD: Anasasiou, Boughezal, Periello 09 Fully differenial NNLO: Anasasiou, Melnikov, Periello 04 Caani, Grazzini 07
18 Gluon fusion (pp +X) [pb] - - pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) pp (NLO QCD) s= 8 Te M [Ge] LC IGGS XS WG 0 NLO: Spira, Djouadi, Graudenz, Zerwas 9, 93 Dawson 9 NNLO: Resummaion: ~80% R, Kilgore 0 Anasasiou, Melnikov 0 Ravindran, Smih, v. Neerven 03 Caani, de Florian, Grazzini, Nason 0 Ahrens, Becher, Neuber, Zhang 08 Elecroweak: Acis, Passarino, Surm, Uccirai 08 Agliei, Bonciani, Degrassi, icini 04 Degrassi, Maloni 04 Djouadi, Gambino 94 Mixed EW/QCD: Anasasiou, Boughezal, Periello 09 Fully differenial NNLO: Anasasiou, Melnikov, Periello 04 Caani, Grazzini 07 ~30%
19 Gluon fusion (pp +X) [pb] - - pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) pp (NLO QCD) s= 8 Te M [Ge] LC IGGS XS WG 0 NLO: Spira, Djouadi, Graudenz, Zerwas 9, 93 Dawson 9 NNLO: Resummaion: ~80% R, Kilgore 0 Anasasiou, Melnikov 0 Ravindran, Smih, v. Neerven 03 Caani, de Florian, Grazzini, Nason 0 Ahrens, Becher, Neuber, Zhang 08 Elecroweak: Acis, Passarino, Surm, Uccirai 08 Agliei, Bonciani, Degrassi, icini 04 Degrassi, Maloni 04 Djouadi, Gambino 94 Mixed EW/QCD: Anasasiou, Boughezal, Periello 09 Fully differenial NNLO: Anasasiou, Melnikov, Periello 04 Caani, Grazzini 07 ~30% ~%
20 Gluon fusion (pp +X) [pb] - - pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) pp (NLO QCD) s= 8 Te M [Ge] LC IGGS XS WG 0 NLO: Spira, Djouadi, Graudenz, Zerwas 9, 93 Dawson 9 NNLO: Resummaion: ~80% R, Kilgore 0 Anasasiou, Melnikov 0 Ravindran, Smih, v. Neerven 03 Caani, de Florian, Grazzini, Nason 0 Ahrens, Becher, Neuber, Zhang 08 Elecroweak: Acis, Passarino, Surm, Uccirai 08 Agliei, Bonciani, Degrassi, icini 04 Degrassi, Maloni 04 Djouadi, Gambino 94 ~5% Mixed EW/QCD: Anasasiou, Boughezal, Periello 09 Fully differenial NNLO: Anasasiou, Melnikov, Periello 04 Caani, Grazzini 07 ~30% ~%
21 Gluon fusion (pp +X) [pb] - - pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) pp (NLO QCD) s= 8 Te M [Ge] σ O σ LO (m ) ( σ O σ LO ) LC IGGS XS WG 0 m NLO: Spira, Djouadi, Graudenz, Zerwas 9, 93 Dawson 9 NNLO: Resummaion: ~80% R, Kilgore 0 Anasasiou, Melnikov 0 Ravindran, Smih, v. Neerven 03 Caani, de Florian, Grazzini, Nason 0 Ahrens, Becher, Neuber, Zhang 08 Elecroweak: Acis, Passarino, Surm, Uccirai 08 Agliei, Bonciani, Degrassi, icini 04 Degrassi, Maloni 04 Djouadi, Gambino 94 ~5% Mixed EW/QCD: Anasasiou, Boughezal, Periello 09 Fully differenial NNLO: Anasasiou, Melnikov, Periello 04 Caani, Grazzini 07 ~30% ~%
22 Gluon fusion: uncerainies perurbaive (scale variaion) PDF/αs boom loop/yukawa coupling...
23 Gluon fusion: recen progress iggs line shape Goria, Passarino, Rosco ; Anasasiou, Buehler, erzog, Lazopoulos Signal/Background inerference Glover, v.d. Bij 89; Binoh, Ciccolini, Kauer, Krämer 06; Campbell, Ellis, Williams ; Kauer ; Passarino validiy of effecive /m heory R, Manler, Marzani, Ozeren 09; Pak, Rogal, Seinhauser 09 Alwall, Li, Maloni ; Bagnasci, Degrassi, Slavich, icini R, Neumann, Wiesemann je veo uncerainies Anasasiou, Disserori, Grazzini, Söckli, Webber 09 Sewar, Tackmann Banfi, Monni, Salam, Zanderighi ; Becher, Neuber Tackmann, Walsh, Zuberi
24 Effecive Theory: (pp"+x)[pb] m M C(m, α s ) (pp"+x)[pb] NLO, LC IGLU NLO, LC IGLU σ O σ LO (m ) ( σ O σ LO [Krämer, Laenen, Spira 96] ) m M [Ge] ( Bergische Universiä Wupperal ) iggs producion: higher orders March 0 7 / 3
25 Effecive Theory: (pp"+x)[pb] m M C(m, α s ) (pp"+x)[pb] NLO, LC IGLU NLO, LC IGLU σ O σ LO (m ) ( σ O σ LO [Krämer, Laenen, Spira 96] ) m wha abou NNLO? M [Ge] ( Bergische Universiä Wupperal ) iggs producion: higher orders March 0 7 / 3
26 . NNLO / NNLO eff Te /M n, n=0,...,6 σ NNLO eff σ LO (m ) ( σ NNLO σ LO ) m R, Manler, Marzani, Ozeren 09 Pak, Rogal, Seinhauser M /Ge
27 . NNLO / NNLO eff Te /M n, n=0,...,6 σ NNLO eff σ LO (m ) ( σ NNLO σ LO ) m R, Manler, Marzani, Ozeren 09 Pak, Rogal, Seinhauser 09 heavy op beer han % M /Ge
28 m M C(m, α s ) (pp"+x)[pb] (pp"+x)[pb] NLO, LC IGLU NLO, LC IGLU σ O σ LO (m ) ( σ O σ LO [Krämer, Laenen, Spira 96] wha abou NNLO? ) m M [Ge] ( Bergische Universiä Wupperal ) iggs producion: higher orders March 0 7 / 3
29 m M C(m, α s ) (pp"+x)[pb] (pp"+x)[pb] NLO, LC IGLU NLO, LC IGLU σ O σ LO (m ) ( σ O σ LO [Krämer, Laenen, Spira 96] ) wha abou NNLO? m wha abou disribuions? M [Ge] ( Bergische Universiä Wupperal ) iggs producion: higher orders March 0 7 / 3
30 R M =5 Ge M =65 Ge M =500 Ge LC IGGS XS WG 0 R M =5 Ge M =65 Ge M =500 Ge LC IGGS XS WG see also 0.9 LC 7 Te NLO-QCD raio of normalized disribuions R=(exac op+boom)/(effecive heory) p [Ge] T Spira, Djouadi, Graudenz, Zerwas 93 Keung, Periello 09; Brein ; Anasasiou, Bucherer, Kunsz LC 7 Te POWEG+PYTIA raio of normalized disribuions R=(exac op+boom)/(effecive heory) p T [Ge] Bagnasci, Degrassi, Slavich, icini
31 gg g gg+g Te m = Ge K. K 0.0 K p T [Ge] R, Neumann, Wiesemann
32 gg g gg+g Te m = Ge K K-facor almos unaffeced by /m erms. K 0.0 K p T [Ge] R, Neumann, Wiesemann
33 Transverse momenum: T Bozzi, Caani, de Florian, Grazzini 03 see also: Manry, Periello de Florian, Kulesza, ogelsang 06 Kulesza, Serman, ogelsang 03 Berger, Qiu 03...
34 Transverse momenum: including decay: T Bozzi, Caani, de Florian, Grazzini 03 see also: Manry, Periello de Florian, Kulesza, ogelsang 06 Kulesza, Serman, ogelsang 03 Berger, Qiu h (p ) > f a/h (x,µ F ) >. h (p ) f b/h (x,µ F ). a(x p ) ˆσ ab b(x p ) l (M, T, y)... } l (θ, φ) X Experim impora heoreic Analyic inclusive no poss on final Included he full dependence of iggs decays: γγ ZZ 4l, possible o apply cus on iggs boson a de Florian, Ferrera, Grazzini, Tommasini To consruc he finie par we rely on he fully-diffe code NNLO [Caani,Grazzini( 07)]. Calculaion implemened in a numerical program Res. disribuions in form of bin hisograms: hp://heory.fi.infn.i/grazzini/codes.hml. Giancarlo Ferrera Universià di Milano NNLO QCD predicions for iggs Physics a he LC S
35 Gluon fusion: recen progress iggs line shape Goria, Passarino, Rosco ; Anasasiou, Buehler, erzog, Lazopoulos Signal/Background inerference Glover, v.d. Bij 89; Binoh, Ciccolini, Kauer, Krämer 06; Campbell, Ellis, Williams ; Kauer ; Passarino validiy of effecive /m heory R, Manler, Marzani, Ozeren 09; Pak, Rogal, Seinhauser 09 Alwall, Li, Maloni ; Bagnasci, Degrassi, Slavich, icini R, Neumann, Wiesemann je veo uncerainies Anasasiou, Disserori, Grazzini, Söckli, Webber 09 Sewar, Tackmann Banfi, Monni, Salam, Zanderighi ; Becher, Neuber Tackmann, Walsh, Zuberi
36 NNLO je veo: σ(0-je) = σ(oal) - σ( -je) NNLO NLO Caani, de Florian, Grazzini 0 σ0(p cu T ) [pb] direc excl. scale variaion s = 7 Te M = 65 Ge η je 3.0 NNLO NLO LC IGGS XS WG 0 σ0(p cu T ) [pb] combined incl. scale variaion s = 7 Te M = 65 Ge η je 3.0 NNLO NLO LC IGGS XS WG [Ge] p cu T [Ge] Anasasiou, Disserori, Grazzini, Söckli, Webber 09 Sewar, Tackmann p cu T
37 ross cions secions a LOa and LONLO andrespecively, NLO respecively, e.g. using e.g. MCFM using MCFM [8, 9, [8, 53]. 9, We 53]. recall We ha, recall ha, ou, roughou, we usewe heuse large hemlarge op approximaion m op approximaion for iggs for iggs producion. producion.. Prescripions for he efficiency.rescripions Prescripions for he forefficiency he efficiency here is lile ambiguiy in he definiion of he fixed order resuls for he oal and jeoed shere lileis cross-secions, ambiguiy lile ambiguiy wih in heinhe definiion heonly definiion freedom of he of fixed he being, order fixed as resuls order usual, resuls in he for hefor choice oal heand oal or renormalaioeoed and jecross-secions, cross-secions, facorisaion and je- wih he wih scale. only hefreedom only owever, freedom given being, being, he as usual, as expressions usual, in hein of choice heσchoice and σ or renormal- arenormal- aion rurbaive a given and facorisaion and facorisaion order, here is scale. scale. some addiional owever, owever, given given freedom he expressions heinexpressions way one of Σ and ofcompues Σσ and a aσ he given a je-veo a given erurbaive ciency. For order, order, insance, here is here Banfi, a someis NNLO addiional Salam, some addiional he Zanderighi efficiency freedom freedom (0) can be in he indefined way heone wayas NLL+NNLO compues one compues he je-veo he je-veo veo efficiencies Je veo efficiency: fficiency. For insance, For insance, a NNLO a NNLO he can be defined as ɛ NLL+NNLO (a) (p,veo ) Σ he can be defined as 0(p,veo )+Σ (p,veo )+Σ (p,veo ), (4.a) ɛ (a) (p,veo ) Σ 0(p,veo )+Σ (p σ 0 +,veo )+Σ σ + σ (p ɛ (a) (p,veo ) Σ iggs producion (m 0(p,veo )+Σ (p,veo )+Σ (p,veo ),veo ) = 5 Ge), NNLO,, (4.a) (4.a) he following expressions ɛ (a) (p,veo ) Σ are eually σ 0(p,veo )+Σ 0 valid + σσ 0 (p a + σnnlo, σ + σ,veo )+Σ (p,veo ) pp, 7 Te following expressions are eually valid a σ 0 NNLO, + σ + σ ɛ (b) (p,veo ) Σ m u he following expressions are eually valid a NNLO, /4 < µ R,F < m (p,veo )+Σ (p,veo )+ Σ (p,veo ) MSTW008 NNLO PDFs ani-k, (4.b) ɛ (b) (p,veo ) Σ 0. ɛ (b) (p 0(p,veo )+Σ (p,veo )+ Σ (p,veo ),veo ) Σ 0(p,veo )+Σ (p σ 0,veo )+ Σ + σ ɛ (b) (p,veo ) Σ, R = 0.5 0(p,veo )+Σ (p (p,veo ), (4.b) ɛ σ 0 + σ σ 0 + σ ( N (c) (p,veo ) 0. ɛ (c) (p,veo ) + Σ + Σ (,veo )+ Σ (p,veo ) NNL (p,veo ) Σ (p,veo ) ( + σ, ) (4.b) σ 0 + σ Σ (p,veo ) σ 0 Σ (p,veo ) σ 0 0 σ 0 ɛ (c) (p,veo ) + Σ + ( σ (p),veo ), (4.c) 0 ɛ (c) (p,veo ) + Σ ( (p,veo ) Σ (p,veo ) + Σ σ ) (p,veo ) σ 0 Σ (p σ (p Σ σ 0 σ 0,veo ),,veo ) + σ )(4.c) nce hey differ relaive o E. (4.a) only by erms O (α 0 s 3),whicharenounderconrol. σ (p,veo ), (4.c) scheme a 0 0. scheme b nce Opion Σ σ 0 σ 0 σ0 (p,veo ) ey differ hey relaive differ (a) isrelaive he mos o E. o (4.a) E. widely (4.a) used, only by onlyand erms by may erms O (αs 3 appear ),whicharenounderconrol. O (α a firs sigh o be he mos s 3),whicharenounderconrol. scheme c ural, 0. ion Opion since (a) is (a) one he is keeps mos he widely mos as many widely erms used, used, as possible and may and appear may boh appear in he a firs a numeraor sigh firs o sigh and be odenominaor. he be mos he mos 0 0 owever, opion (b) can be moivaed follows: since he zeroh order erm of ɛ(p, aural, since one since keeps one as keeps many as erms many as erms possible as possible boh in boh he in numeraor he numeraor and denominaor. and denominaor.,veo ) 0 perurbaively euivalen p,veo [Ge] owever, eual oopion, iisreallyonly (b) can be moivaed ɛ(p r, opion (b) can be moivaed as follows:,veo as) ha follows: has since a non-rivial he zeroh perurbaive order ermseries, of ɛ(pgiven since he zeroh order erm of ɛ(p,veo ),veo ) Je-veo resummaion using CAESAR eual he raio o, ofiisreallyonly he inclusive -je cross ɛ(p secion above p o, iisreallyonly ɛ(p,veo ) ha has a non-rivial,veo, σ-je perurbaive NLO,veo ) ha has a non-rivial(perurbaive,veo ),oheoalcross series, given series, given Figure : Je-veo efficiency for iggs (lef) and Z-bos y he raio of he inclusive -je cross secion above p aio of he inclusive Je-veo -je cross resummaion secion above p,veo using, σ,veo -je NLO, σ (p -je CAESAR NLO (p,veo ),oheoalcross,veo ),oheoalcross differen prescripions Banfi, Salam, for he Zanderighi NNLO expansion, see Es iggs producion (m = 5 Ge), NNLO v. NLL+NNLO Z producion, hennlo Figure hick iggs v. NLL+NNLO solid : producion Je-veo line corresponds (M efficiency =5Ge) o for heiggs resul obained (lef) andw bandifferen shows he prescripions scale uncerainy for heas NNLO obained expansion, wih hese pp, 7 Te pp, 7 Te m /4 < µ R,F, Q < m, 3 schemes m Z /4 < µ R,F, Q < m Z, 3 schemes NNLO NLL+NNLO iggs MSTW008 producion NNLO PDFs (m = 5 Ge), NNLO v. NLL+NNLO MSTW008 NNLO PDFs Z producion, hennlo hick iggs v. NLL+NNLO solid producion line corresponds (M =5Ge) o he resul oba ani-k, R=0.5 ani-k 0.8, R= p band shows he scale uncerainy as obained wi pp, 7 Te pp, 7 Te secion.,veo =5Ge % Insofar as he -je m /4 < µ R,F, Q < m, 3 schemes m Z /4 < µ R,F, Q < m Z, 3 schemes NNLO cross secion 4% p NLL+NNLO is known only,veo 0.6 MSTW008 NNLO PDFs 0.6 MSTW008 NNLO PDFs ani-k, R=0.5 ani-k 0.8 oal p,veo cross =30Ge secion one67 can +9 8 % argue ha 64+8 one should also u, R= p secion.,veo =5Ge % p,veo 9 % Insofar as he -je cross secion 4% Table 3: Je veo efficiencies is known oal p,veo cross =30Ge secion one67 can +9 8 ɛ(p % and heir uncerainies argue ha one %,veo )= σnlo -je (p,ve NNLO NNLO should values of p,veo used by ATLAS and CMS, shown NLL+NNLO NLL+NNLO σ 0 + for σ and 0 0 Table based 3: on Je MSTW008 veo efficiencies NNLO PDFs. reducion and heir uncera ɛ(p,veo )= σnl -je.3 NNLO.3 I is sraighforward in efficiency NNLO o verify uncerainy ha his hen leads o values of p,veo used by ATLAS and CMS, show NLL+NNLO coincides wih NLL+NNLO he one adoped even-shape sudies σ.. when combined he and cenral based value on wih from MSTW008 inclusive he mached NNLO calculaion uncerainy PDFs. is clo (p,veo ) p,veo ) (p,veo ) (p,veo ) p,veo ) (p,veo ) (p,veo ) (p,veo )
38 Resummaion: iggs producion (m = 5 Ge), NNLO v. NLL+NNLO 0.8 pp, 7 Te m /4 < µ R,F, Q < m, 3 schemes MSTW008 NNLO PDFs ani-k, R= (p,veo ) NNLO NLL+NNLO 0. NLL+NNLO (p,veo ) / cenral (p,veo ) p,veo [Ge] (p,veo ) / cenral (p,veo ) see also Becher, Neuber Tackmann, Walsh, Zuberi 0 p,veo [Ge] Banfi, Monni, Salam, Zanderighi Figure 4: Comparison of fixed-order (NNLO) and mached resummed (NLL+NNLO) predicions for he je veo efficiencies in iggs (lef) and Z producion (righ). The uncerainies are hose derived from he envelope mehod: forboh fixed order and mached resuls hey include renormalisaion and facorisaion scale uncerainies, as well as he scheme for defining he efficiency (or maching prescripion). Inhemachedcase, here
39 Gluon fusion (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) s= 8 Te LC IGGS XS WG 0 - pp (NLO QCD) M [Ge]
40 Gluon fusion (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) s= 8 Te LC IGGS XS WG 0 pp (NLO QCD) - In summary M [Ge]
41 Gluon fusion (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) s= 8 Te LC IGGS XS WG pp (NLO QCD) M [Ge] In summary enormous progress
42 Gluon fusion (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) s= 8 Te LC IGGS XS WG pp (NLO QCD) M [Ge] In summary enormous progress bu sill keeps us busy
43 iggs Srahlung (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) s= 8 Te LC IGGS XS WG 0 NLO: an, Willenbrock 90 NNLO: Brein, Djouadi, R 03 vh@nnlo EW: Ciccolini, Dimaier, Krämer 03 AWK - - pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) pp (NLO QCD) M [Ge] _ "(pp Z) NNLO / LO s = 7 Te NNLO / LO (± NNLO / LO (± ") ") LC IGGS XS WG (b) M [Ge] IGGS XS WG 0
44 iggs Srahlung (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) s= 8 Te LC IGGS XS WG pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) NLO: an, Willenbrock 90 NNLO: Brein, Djouadi, R 03 vh@nnlo EW: Ciccolini, Dimaier, Krämer 03 AWK pp (NLO QCD) iggs Srahlung M [Ge] _ based on amberg, v. Neerven, Masuura 9 K W (LC) NNLO NLO "(pp Z) NNLO / LO s = 7 Te NNLO / LO (± ") NNLO / LO (± ") [Brein, Djouadi, R.. 03] [amberg, v. (b) Neerven, Masuura 9] [an, Willenbrock 90] M [Ge] LC IGGS XS WG 0 IGGS XS WG 0
45 iggs Srahlung (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) s= 8 Te LC IGGS XS WG pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) NLO: an, Willenbrock 90 NNLO: Brein, Djouadi, R 03 vh@nnlo EW: Ciccolini, Dimaier, Krämer 03 AWK ng pp (NLO QCD) iggs Srahlung M [Ge] _ based on amberg, v. Neerven, Masuura 9 K W (LC) NNLO Kniehl 90 NLO "(pp Z) NNLO / LO s = 7 Te NNLO / LO (± ") NNLO / LO (± ") [Brein, Djouadi, R.. 03] [amberg, v. (b) Neerven, Masuura 9] [an, Willenbrock 90] M [Ge] LC IGGS XS WG 0 IGGS XS WG 0
46 iggs Srahlung (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) s= 8 Te LC IGGS XS WG pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) NLO: an, Willenbrock 90 NNLO: Brein, Djouadi, R 03 vh@nnlo EW: Ciccolini, Dimaier, Krämer 03 AWK ng pp (NLO QCD) iggs Srahlung M [Ge] _ based on amberg, v. Neerven, Masuura 9 K W (LC) NNLO "(pp Z) NNLO / LO s = 7 Te NNLO / LO (± NNLO / LO (± [Brein, Djouadi, R.. 03] Kniehl 90 [amberg, v. (b) Neerven, NLO Masuura 9] je subsrucure [an, see alk Willenbrock by Gavin 90] Salam M ") ") [Ge] LC IGGS XS WG 0 IGGS XS WG 0
47 iggs Srahlung K W (LC) NNLO NNLO QCD+EW NLO NLO LO LO M [Ge] [Brein, Djouadi, R.. 03] [Brein, Djouadi, R.. 03] [amberg, v. Neerven, [amberg, Masuura v. 9] Neerven, [an, Masuura Willenbrock 9] 90] [an, Willenbrock 90] [Ciccolini, Dimaier, Krämer 03] [Denner, Dimaier, Kallwei, Mück ] AWK R. arlander ( BU Wupperal ) Inclusive iggs Cross Secions January 0 3 / R. arlander ( BU Wupperal ) Inclusive iggs Cross Secions January 0 3 /
48 iggs Srahlung K W (LC) NNLO NNLO QCD+EW NLO NLO [amberg, v. Neerven, g [Ciccolini, Dimaier, Krämer 03] (a) (b) (c) LO [Denner, Dimaier, Kallwei, Mück ] LO M [Ge] [Brein, Djouadi, R.. 03] [Brein, Djouadi, R.. 03] [amberg, Masuura v. 9] Neerven, [an, Masuura Willenbrock 9] 90] [an, Willenbrock 90] AWK R. arlander ( BU Wupperal ) Inclusive iggs Cross Secions January 0 3 / R. arlander ( BU Wupperal ) Inclusive iggs Cross Secions January 0 3 /
49 iggs Srahlung K W (LC) NNLO NNLO QCD+EW (a) (b) (c) LO LO NLO NLO M [Ge] [Brein, Djouadi, R.. 03] [Brein, Djouadi, R.. 03] [amberg, v. Neerven, g [amberg, Masuura v. 9] Neerven, [an, Masuura Willenbrock 9] 90] [an, Willenbrock 90] [Ciccolini, Dimaier, Krämer 03] [Denner, Dimaier, Kallwei, Mück ] AWK Full resul a O(α sg F ) R. arlander ( BU Wupperal ) Inclusive iggs Cross Secions January 0 3 / R. arlander ( BU Wupperal ) Inclusive iggs Cross Secions January 0 3 / mann, Zirke ] Brein, R, Wiesemann, Zirke
50 iggs Srahlung: fully differenial NNLO dσ/dp T, [fb/ge] dσ/dp T, [fb/ge] Ferrera, Grazzini, Tramonano l + ν l ν LC iggs XS WG l + l ν ν LC iggs XS WG p T, [Ge] p T, [Ge] δ EW [%] δ EW [%] Denner, Dimaier, Kallwei, Mück δ rec l + ν δ bare l + ν δ rec l ν δ bare l ν LC iggs XS WG δl rec + l δl bare + l LC iggs XS WG p T, [Ge] p T, [Ge] δ ν ν
51 iggs Srahlung (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) s= 8 Te LC IGGS XS WG 0 - pp (NLO QCD) M [Ge] _
52 iggs Srahlung (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) s= 8 Te LC IGGS XS WG 0 pp (NLO QCD) - In summary M [Ge] _
53 iggs Srahlung (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) s= 8 Te LC IGGS XS WG pp (NLO QCD) M [Ge] In summary under very good conrol _
54 iggs Srahlung (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) s= 8 Te LC IGGS XS WG pp (NLO QCD) M [Ge] In summary under very good conrol high pheno poenial _
55 (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) s= 8 Te LC IGGS XS WG 0 NLO: Beenakker, Dimaier, Krämer, Plümper, Spira, Zerwas 0; Dawson, Reina, Wackeroh, Orr, Jackson 0-03; - pp (NLO QCD) M [Ge] 400 _ 0 00 σ(pp _ + X) [fb] s = 4 Te M = Ge µ 0 = m + M / 800 LO NLO µ/µ 0
![(pp +X) [pb] - - pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) pp (NLO QCD) s= 8 Te 80 0 00 300 400 00 M [Ge] LC IGGS XS WG 0 NLO: Beenakker,](/docs-images/88/117908918/images/56-2.jpg "Dimaier, Krämer, Plümper, Spira, Zerwas 0; Dawson, Reina, Wackeroh, Orr, Jackson 0-03; NLO+PS: Frederix, Frixione, irschi, Maloni, Piau, Torielli amc@nlo Garzelli, Kardos, Papadopoulos, Trócsányi")
56 (pp +X) [pb] - - pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) pp (NLO QCD) s= 8 Te M [Ge] LC IGGS XS WG 0 NLO: Beenakker, Dimaier, Krämer, Plümper, Spira, Zerwas 0; Dawson, Reina, Wackeroh, Orr, Jackson 0-03; NLO+PS: Frederix, Frixione, irschi, Maloni, Piau, Torielli amc@nlo Garzelli, Kardos, Papadopoulos, Trócsányi Powel _
![Weak Boson Fusion (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) s= 8 Te LC IGGS XS WG 0 - - pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) NLO QCD: Figy, Oleari, Zeppenfeld 03](/docs-images/88/117908918/images/57-1.jpg "vbfnlo NLO QCD+EW: Ciccolini, Denner, Dimaier 08 AWK NLO SUSY: Figy, Palmer, Weiglein pp (NLO QCD) 80 0 00 300 400 00 M [Ge] δ [%] pp jj + X QCD, no cus QCD, cus 5 EW, no cus EW, cus 0 5 0 00 300 400")
57 Weak Boson Fusion (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) s= 8 Te LC IGGS XS WG pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) NLO QCD: Figy, Oleari, Zeppenfeld 03 vbfnlo NLO QCD+EW: Ciccolini, Denner, Dimaier 08 AWK NLO SUSY: Figy, Palmer, Weiglein pp (NLO QCD) M [Ge] δ [%] pp jj + X QCD, no cus QCD, cus 5 EW, no cus EW, cus M [Ge]
58 Weak Boson Fusion: Beyond-NLO gluon fusion/wbf inerference Andersen, Binoh, einrich, Smillie 07; Bredensein, agiwara, Jäger 08 gluon indu gluon induced WBF R, ollinga, Weber 08 DIS-like NNLO (inclusive) Bolzoni, Maloni, Moch, Zaro par of NNLO DIS-like NNLO (inclu ohers [Bolz + a few ohers [Bolzon missing:
59 Weak Boson Fusion: Beyond-NLO gluon fusion/wbf inerference Andersen, Binoh, einrich, Smillie 07; Bredensein, agiwara, Jäger 08 gluon indu gluon induced WBF R, ollinga, Weber 08 DIS-like NNLO (inclusive) Bolzoni, Maloni, Moch, Zaro par of NNLO DIS-like NNLO (inclu alk on Friday (YSF) ohers [Bolz + a few ohers [Bolzon missing:
60 σ (pb) a LC s = 7 Te LO NLO NNLO - - scale choice: Q/4 µ R,µ F 4Q σ(µ R,µ F )/σ NNLO (Q) Moch, Zaro ] Bolzoni, Maloni, Moch, Zaro m (Ge)
61 Gluon fusion (pp +X) [pb] pp (NNLO+NNLL QCD + NLO EW) pp (NNLO QCD + NLO EW) pp W (NNLO QCD + NLO EW) pp Z (NNLO QCD +NLO EW) s= 8 Te LC IGGS XS WG 0 - pp (NLO QCD) M [Ge]
62 sensiive o heavy paricle specrum
63 sensiive o heavy paricle specrum e.g. 4h generaion:
64 sensiive o heavy paricle specrum e.g. 4h generaion: σ m M π 56 αs π y m
65 sensiive o heavy paricle specrum e.g. 4h generaion: σ m M π 56 αs π y m + y m + y b m b
66 sensiive o heavy paricle specrum e.g. 4h generaion: σ m M π 56 αs π m + m m m + m b m b
67 sensiive o heavy paricle specrum e.g. 4h generaion: σ m M π 56 αs π m + m m m + m b m b = 9 π 56 αs π ulos ]
68 sensiive o heavy paricle specrum
69 ~ ~ ~ sensiive o heavy paricle specrum
70 ~ ~ ~ sensiive o heavy paricle specrum LC iggs XS WG: σ MSSM (gg φ) = ( g MSSM g SM ) σ (gg φ)+ ( g MSSM b g SM b ) σ bb(gg φ) + gmssm g SM g MSSM b g SM b σ b (gg φ),
71 ~ ~ ~ sensiive o heavy paricle specrum LC iggs XS WG: σ MSSM (gg φ) = ( g MSSM g SM ) σ (gg φ)+ ( g MSSM b g SM b ) σ bb(gg φ) + gmssm g SM g MSSM b g SM b σ b (gg φ), All conribuions for NLO MSSM iggs known:
72 ~ ~ ~ sensiive o heavy paricle specrum LC iggs XS WG: σ MSSM (gg φ) = ( g MSSM g SM ) σ (gg φ)+ ( g MSSM b g SM b ) σ bb(gg φ) + gmssm g SM g MSSM b g SM b σ b (gg φ), All conribuions for NLO MSSM iggs known: NLO: R, Seinhauser 04; Anasasiou, Beerli, Daleo 08; + Bucherer, Kunsz 06; Mühlleiner, Rzehak, Spira 07/ 08; Agliei, Bonciani, Degrassi, icini 06; R, ofmann, Manler ; Degrassi, Slavich 08/ ; + Bagnasci, icini /
73 ~ ~ ~ sensiive o heavy paricle specrum LC iggs XS WG: σ MSSM (gg φ) = ( g MSSM g SM ) σ (gg φ)+ ( g MSSM b g SM b ) σ bb(gg φ) + gmssm g SM g MSSM b g SM b σ b (gg φ), All conribuions for NLO MSSM iggs known: NLO: R, Seinhauser 04; Anasasiou, Beerli, Daleo 08; + Bucherer, Kunsz 06; Mühlleiner, Rzehak, Spira 07/ 08; Agliei, Bonciani, Degrassi, icini 06; R, ofmann, Manler ; Degrassi, Slavich 08/ ; + Bagnasci, icini / alk on Thursday (YSF)
74 + X) [pb] "(pp # h A s = 7 Te LC IGGS XS WG 0 + X) [pb] "(pp # h A s = 7 Te LC IGGS XS WG _ b gg A gg h/ bba bbh/ an$ = 5 mhmax scenario M # [Ge] gg A gg h/ bba bbh/ an$ = 30 mhmax scenario M # [Ge] 3 (a) (b) Fig. 4: Cenral predicions for he oal MSSM producion cross secions via gluon fusion and iggs radiaion off boom uarks b wihin he 5FS for s =7Te using NNLO and NLO MSTW008 PDFs [4, 44] for he m max h scenario; (a) an β =5,(b)an β =30. 55
75 + X) [pb] "(pp # h A s = 7 Te LC IGGS XS WG 0 + X) [pb] "(pp # h A s = 7 Te LC IGGS XS WG _ b gg A gg h/ bba bbh/ an$ = 5 mhmax scenario M # [Ge] gg A gg h/ bba bbh/ an$ = 30 mhmax scenario M # [Ge] 3 (a) (b) Fig. 4: Cenral predicions for he oal MSSM producion cross secions via gluon fusion and iggs radiaion off boom uarks b wihin he 5FS for s =7Te using NNLO and NLO MSTW008 PDFs [4, 44] for he m max h scenario; (a) an β =5,(b)an β =30. 55
76 _ b b collinear logarihms: α s ln(m b /M ) α s ln(5/00) resummaion: boom uarks as parons b _ b _ b b 4FS 5FS
77 lo: /pb 0.5 NNLO LC M = Ge - µ F /M
78 3 LO [fb] "S = 4 Te M = Ge bb _ # _ b b µ Y = M µ R = µ F = µ gg # bb _ - µ/m M. Krämer b _ b
79 g b b NLO NNLO g b b spliing & mass/off-shell effecs massless/on-shell b s, no p Tb summaion of log M /m b erms resummaion of log M /m b erms "(pp bb + X) [fb] µ 0 s =(m +M )/4 b = 7 Te bb (NNLO) (pp " bb _ h + X) [fb] #s = 7 Te LC IGGS XS WG 0 µ = (m b + M h )/4 MSTW008 bb _ " h (NNLO) gg bb (NLO) gg " bb _ h (NLO) Sanander maching: σ = σ4fs + wσ 5FS +w w =log M m b arlander, Krämer, Schumacher R, Krämer, Schumacher - MSTW M h [Ge] M [Ge] Dimaier, Krämer, S. Dawson, Jackson, Reina, Wackeroh see also Maloni, Ridolfi, Ubiali arlander, Kilgore
80 uncerainy band for ±" ± (fb) relaive differences on - $s =7 Te µ=(m b +m )/4 MSTW008 4FS gg#bb (NLO) 5FS bb# (NNLO) mached m (Ge) $s =7 Te µ=(m b +m )/4 MSTW008 ( 4FS ± " ± 4FS - mached ) / mached ( 5FS ± " ± 5FS - mached ) / mached mached uncerainy Sanander maching R, Krämer, Schumacher arlander, Krämer, Schumacher m (Ge)
81 NNLO je veo: 0.5 σ(p T < p T,cu ) [pb] σ(0-je) = σ(oal) - σ( -je) R, Wiesemann ; +Ozeren Fully NNLO differenial: LC@8 Te m = 5 Ge µ F = µ R = m / p T,cu [Ge] LO NLO NNLO Buehler, erzog, Lazopoulos, Mueller
82 Conclusions coninuous heory progress imporance of heory is being recognized error esimaes will become crucial revival of precision physics?
83 WW ZZ 8 6 EW, ligh ferm. EW, ligh ferm., Fig. of firs paper of Ref.[7] EW, oal, CM EW [%] 4 Acis, Passarino, Surm, Uccirai 08 Agliei, Bonciani, Degrassi, icini 04 Degrassi, Maloni 04 Djouadi, Gambino M [Ge]
Higher order corrections to H. production. Nikolaos Kidonakis. production channels. Higher-order corrections. Charged Higgs production at the LHC
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