weights - BkgΣEvents/5 GeV

HIGGS BOSON DECAY AN D PRODUCT ION AT HADRON COLLIDERS

Michael Spira (PSI)

I Introduction

II Higgs Boson Decays

III Higgs Boson Production

IV Conclusions

I IN T RODUCT ION

• SM very successful ← precision data [LEP, Tevatron, LHC]

• open problems: – mechanism of electroweak symmetry breaking – unification of forces

– space-time structure @ short distances

• LHC: fundamental discoveries: Higgs boson(s?) Supersymmetry ?

Extra space dimensions ?

• electroweak symmetry breaking: two classes of realization:

– standard Higgs mechanism [SM, SUSY,. . . ]

– strong elw. symmetry breaking [TC, LH, Higgsless, ED,. . . ]

• we have found the Higgs: M_H ∼ 125 GeV

• gg → H dominant

100 110 120 130 140 150 160

weights / 2 GeVΣ

20 40 60 80 100

γ γ

→ H

Data S/B Weighted Sig+Bkg Fit

Bkg (4th order polynomial)

ATLAS

Ldt=4.8fb-1

∫

=7 TeV, s

Ldt=5.9fb-1

∫

=8 TeV, s

=126.5 GeV) (mH

[GeV]

γ

mγ

100 110 120 130 140 150 160

weights - BkgΣ -8 -4 0 4 8

[GeV]

m4l

100 150 200 250

Events/5 GeV

0 5 10 15 20 25

Ldt = 4.8 fb-1

∫

= 7 TeV:

s

Ldt = 5.8 fb-1

∫

= 8 TeV:

s

→4l ZZ(*)

→ H Data

Background ZZ(*)

t Background Z+jets, t

=125 GeV) Signal (mH

Syst.Unc.

ATLAS

.

• Higgs Boson Production

t;b

g g

H ^h,H

q q

W;Z W;Z

h;H

q q

W;Z

W;Z

g

g t

H

¯t

[GeV]

MH

80 100 200 300 400 500 1000

H+X) [pb] →(pp σ

10-2

10-1

1 10

= 8 TeV s

LHC HIGGS XS WG 2014

H (NNLO+NNLL QCD + NLO EW) pp →

qqH (NNLO QCD + NLO EW)

→ pp

WH (NNLO QCD + NLO EW) pp →

ZH (NNLO QCD +NLO EW) pp →

ttH (NLO QCD) pp →

bbH (NNLO QCD in 5FS, NLO QCD in 4FS) pp →

LHC Higgs XS WG

• Discovery: LHC [Tevatron]

→ Higgs mass couplings spin

CP λ ?

(ii) MSSM

• 2 Higgs doubletts

ESB

→ 5 Higgs bosons: h, H, A, H^±

• LO: 2 input parameters: M_A,tgβ = ^v_v²

1

• radiative corrections ∝ m⁴_t log ^m˜t1m˜t2

m²_t → M_h <

∼ 135 GeV

Haber Carena,. . . Heinemeyer,. . . Zhang Slavich,. . .

· · ·

• modified couplings:

φ g_u^φ g_d^φ g_V^φ h c_α/s_β −s_α/c_β s_β−α H s_α/s_β c_α/c_β c_β−α

A ctgβ tgβ 0

• Yukawa couplings: tgβ↑ ⇒ g_u^φ↓ g_d^φ↑ g_V^φ↓

• LHC: gg → φ dominant for tgβ <∼ 10 gg → φb¯b dominant for tgβ >∼ 10

↓ ↓

gg → b¯bφ⁰, gg → φ⁰ φ⁰ → τ⁺τ⁻

II HIGGS BOSON DECAYS

Partial Width QCD Electroweak Total on-shell Higgs

H → b¯b/c¯c ∼ 0.2% ∼ 0.5% for M_H <

∼ 500GeV ∼ 0.5% NNNNLO / NLO

∼ 0.1(_1TeV^MH )⁴ for MH > 500GeV ∼ 0.5–10%

H → τ⁺τ⁻/µ⁺µ⁻ ∼ 0.5% for MH <

∼ 500GeV ∼ 0.5% NLO

∼ 0.1(_1TeV^MH )⁴ for M_H > 500GeV ∼ 0.5–10%

H → t¯t <

∼ 5% <

∼ 0.5% for M_H < 500GeV ∼ 5% (NNN)NLO / LO

∼ 0.1(_1TeV^MH )⁴ for MH > 500GeV ∼ 5–10%

H → gg ∼ 3% ∼ 1% ∼ 3% NNNLO approx. / NLO

H → γγ < 1% < 1% ∼ 1% NLO / NLO

H → Zγ < 1% ∼ 5% ∼ 5% (N)LO / LO

H → W W/ZZ → 4f < 0.5% ∼ 0.5% for MH < 500GeV ∼ 0.5% (N)NLO

∼ 0.17(_1TeV^MH )⁴ for M_H > 500GeV ∼ 0.5–15%

• QCD: variation of Higgs widths for scale by factor 2 and 1/2 elw: missing HO estimated from known structure at NLO M_H >

∼ 500 GeV: Higgs self-interactions dominate error different uncertainties added linearly for each channel

• parametric uncertainties:

m_t = 172.5 ± 1 GeV α_s(M_Z) = 0.118 ± 0.0015

m_b(m_b) = 4.18 ± 0.03 GeV m_c(3GeV) = 0.986 ± 0.025 GeV different uncertainties added quadratically for each channel

• total uncertainties: parametric & theor. uncertainties added linearly

[GeV]

MH

90 200 300 400 1000

Higgs BR + Total Uncert [%]

10-4

10-3

10-2

10-1

1

LHC HIGGS XS WG 2013

b b τ τ

µ µ c c

t t gg

γ γ Zγ

WW

ZZ

−→

HDECAY & Prophecy4f

∼ 10% →

∼ 10% → ←∼ 20%

Denner, Heinemeyer, Puljak, Rebuzzi, S.

• MSSM: large SUSY–QCD corrections to φ⁰ → b¯b

h

b

b

~ g

~

b

~

b

∝ ^α_π^{s m}_M^˜g2^µtgβ

SU SY ∼ ∆_b

Hall,. . . Carena,. . . Nierste,. . . H¨afliger,. . . Noth, S.

Mihaila, Reisser etc.

SUSY-QCD Corrections to b¯bφ⁰ [∆ <

∼ 1%]

Lef f = −λ_bb_R

"

φ⁰₁ + ∆_b

tgβφ⁰₂^∗

#

b_L + h.c. valid to all orders in ∆_b

= −m_b¯b

"

1 + iγ₅G⁰ v

#

b − m_b/v 1 + ∆_b¯b

"

g_b^h 1 − ∆_b tgα tgβ

!

h

+g_b^H 1 + ∆_btgα tgβ

!

H − g_b^A 1 − ∆_b tg²β

!

iγ₅A

#

b

∆_b = ∆^QCD(1)_b + ∆^elw(1)_b

∆^QCD(1)_b = 2 3

α_s(µ_R)

π M_˜g µ tgβ I(m_˜²_b

1, m_˜²_b

2, M_˜g²)

∆^elw(1)_b = λ²_t (µ_R)

(4π)² µ A_t tgβ I(m_˜²_t

1, m_˜²_t

2, µ²) I(a, b, c) = −

ab log a

b + bclog b

c + calog c a (a − b)(b − c)(c − a)

⇒ resummed Yukawa couplings ˜g_b^Φ Carena, Garcia, Nierste, Wagner Guasch, H¨afliger, S.

small α_{ef f} scenario [modified]

tgβ = 30

M_Q˜ = 800 GeV

M_˜g = 1000 GeV ←−

M₂ = 500 GeV

A_b = A_t = −1.133 TeV µ = 2 TeV

m_˜t

1 = 679 GeV m_˜t

2 = 935 GeV m_˜b

1 = 601 GeV m_˜b

2 = 961 GeV

small α_eff tgβ = 30

∆_b

QCD

µ₀ = (m~ _g+m~ _b1+m~ _b2)/3

2-loop SUSY−QCD 1-loop SUSY−QCD

µ_R/µ₀ 0.6

0.65 0.7 0.75 0.8 0.85 0.9 0.95 1

10 ^-1 1 10

Noth, S.

(Mihaila, Reisser)

Γ[Φ → bb] = 3G_FM_Φ 4√

2π m²_b(M_Φ) ∆_QCD ˜g_b^{Φ h}˜g_b^Φ + g_b^Φδ_remⁱ M_A² ≫ M_Z² : tgα → − 1

tgβ ⇒ ˜g_b^h → 1

1 + ∆_b 1 − ∆_b tgα tgβ

!

→ 1

δ_h

−δ_H

−δ_A δ_φ

M_A [GeV] 10 ^-4

10 ^-3 10 ^-2 10 ^-1

1

100 200 300 400 500 600 700 800 900 1000

δ_φ = δ_rem δ_SQCD

Guasch, H¨afliger, S.

BR(h) small α_eff

tgβ = 30 bb^_

τ⁺τ⁻ 2-loop SUSY−elw/QCD

1-loop SUSY−elw/QCD

M_h [GeV]

0.2 0.5 1

90 95 100 105 110 115 120

µ_R = ¹₃ ^P m˜_i

Noth, S. → HDECAY

+ charged Higgs decays

SUSY Decays

BR(Φ→χχ) tgβ = 3

M₂ = 140 GeV µ = 160 GeV A

H H^±

M_Φ [GeV]

100 200 500 1000

BR(Φ→squarks) tgβ = 3

M~ _Q = 400 GeV A_t = 1.05 TeV

A H

H^±

M_Φ [GeV]

300 500 700 1000

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

HDECAY

• if kinematically possible → important

III HIGGS BOSON PRODUCT ION (i) gg → h/H/A

0

t;b;

~

t;

~

b

g g

Georgi,. . . Gamberini,. . .

• NLO QCD corrections: ∼ 10. . .100%

S., Djouadi, Graudenz, Zerwas Dawson, Kauffman

• NNLO calculated for m_t ≫ M_φ ⇒ further increase by 20–30%

[mass effects small] Harlander, Kilgore

Anastasiou, Melnikov Ravindran, Smith, van Neerven Marzani, Ball, Del Duca, Forte, Vicini

Harlander, Ozeren

Pak, Rogal, Steinhauser

• N³LO for m_t ≫ M_φ ⇒ scale stabilization scale dependence: ∆ <

∼ 5% ^{Moch, Vogt}Ravindran

de Florian, Mazzitelli, Moch, Vogt Anastasiou, Duhr, Dulat, Furlan, Gehrmann, Herzog, Mistlberger Ball, Bonvini, Forte, Marzani, Ridolfi

• N³LL soft gluon resummation: <

∼ 2% Catani, de Florian, Grazzini, Nason Ravindran Ahrens, Becher, Neubert, Yang Ball, Bonvini, Forte, Marzani, Ridolfi Bonvini, Marzani Schmidt, S.

• elw. corrections: ∼ 5% Aglietti,. . .

Degrassi, Maltoni Actis, Passarino, Sturm, Uccirati

• QCD corrections to squark loops: 10–100% ^M¨uhlleitner, S.

Bonciani, Degrassi, Vicini

• genuine SUSY–QCD corrections: 10–100%

[← ∆_b @ large tgβ]

Harlander, Steinhauser, Hofmann Degrassi, Slavich Anastasiou, Beerli, Daleo M¨uhlleitner, Rzehak, S.

• SUSY-elw. corrections unknown

• impl. of gg → φ in POWHEG including mass effects @ NLO

Bagnaschi, Degrassi, Slavich, Vicini

• QCD corrections to squark loops: M¨uhlleitner, S.

σ(pp → h/H + X) [pb]

√s = 14 TeV tgβ = 3

NLO LO m_t = 174.3 GeV CTEQ6

M_h/H [GeV]

h H

❍ ❍

80 100 200 300 500 700 1000

10^-2 10^-1 1 10 10² 10³

√s = 14 TeV tgβ = 3

σ(pp → h/H + X) / σ_∞

m_t = 174.3 GeV CTEQ6

M_h/H [GeV]

h H

❍ ❍

80 100 200 300 500 700 1000

0.92 0.94 0.96 0.98 1 1.02 1.04

σ(pp → h/H + X) [pb]

√s = 14 TeV tgβ = 30

NLO LO m_t = 174.3 GeV CTEQ6

M_h/H [GeV]

h H

❍ ❍

80 100 200 300 500 700 1000

10^-3 10^-2 10^-1 1 10 10² 10³ 10⁴ 10⁵

√s = 14 TeV tgβ = 30

σ(pp → h/H + X) / σ_∞

m_t = 174.3 GeV CTEQ6

M_h/H [GeV]

h H

❍ ❍

80 100 200 300 500 700 1000

0.75 0.8 0.85 0.9 0.95 1 1.05 1.1 1.15 1.2

σ(gg → Φ) = σ_LO(g_t^Φ,˜g_b^Φ)^h1 + δ_QCD + δ_SQCDⁱ

K (pp → H+X) τ phobic

√s = 14 TeV tgβ = 30

PDF4LHC15_nlo

µ_R = µ_F = M_H/2 QCD + SUSY−QCD QCD

M_H [GeV] 0.9

1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

200 300 400 500 600 700 800 900 1000

g

g

˜ h/H t[˜b]

t[b]

˜

g +· · ·

PRELIMINARY

M¨uhlleitner, Rzehak, S.

(ii) W/Z fusion: pp → W^∗W^∗/Z^∗Z^∗ → h/H

h,H

q q

W;Z

W;Z Cahn, Dawson

Hikasa Atarelli, Mele, Pitolli

• QCD corrections ← DIS: ∼ 10%

[approx] 2–loop: <

∼ 1%

[approx] 3–loop: <

∼ 0.3%

Han, Valencia, Willenbrock Figy, Oleari, Zeppenfeld Berger, Campbell Bolzano, Maltoni, Moch, Zaro Cacciari, Dreyer, Karlberg, Salam, Zanderighi Dreyer, Karlberg

• elw. corrections: ∼ 10% Ciccolini, Denner, Dittmaier

• genuine SUSY-QCD corrections small Djouadi, S.

• genuine SUSY-elw. corrections: <∼ 5% Hollik, Rzehak, Plehn, Rauch Figy, Palmer, Weiglein

[implemented in VBFNLO]

(iii) Higgs–strahlung: pp → W^∗/Z^∗ → W/Z + h/H

h;H

q q

W;Z

W;Z

Glashow,. . . Kunszt,. . .

• QCD corrections ← DY: ∼ 30%

2–loop: <

∼ 5%

Han, Willenbrock Brein, Djouadi, Harlander

• SUSY-QCD corrections small Djouadi, S.

• electroweak corrections: ∼ −10% Ciccolini, Dittmaier, Kr¨amer

• W/Z + H: fully exclusive @ NNLO QCD Ferrera, Grazzini, Tramantano

(iv) Bremsstrahlung: pp → t¯t + h/H/A

0 q

q

g

t

t

0 g

g

t

t

dominant

Kunszt Gunion Marciano, Paige

• t¯th → t¯tb¯b important @ LHC → top Yukawa cplg.

• QCD corrections [SM]: ∼ 20%

[threshold suppressed: σ_LO ∼ β⁴]

Beenakker, Dittmaier, Kr¨amer, Pl¨umper, S., Zerwas Dawson, Orr, Reina, Wackeroth Broggio, Ferroglia, Pecjak, Signer, Yang

• SUSY-QCD corrections: moderate Dittmaier, H¨afliger, Kr¨amer, S., Walser

• link to parton showers: aMC@NLO, PowHel Frederix et al.

Garzelli, Kardos, Papadopoulos, Tr´ocs´anyi

• important work on backgrounds t¯tb¯b, t¯tjj, etc.

Bredenstein, Denner, Dittmaier, Pozzorini Bevilacqua, Czakon, Papadopoulos, Pittau, Worek Cascioli, Maierhofer, Pozzorini

h H

❍ ❍

K(pp → tt^_ h/H + X) tgβ = 5

µ = (2m_t + M_h/H)/2 SPS5

√s = 7 TeV

√s = 14 TeV

full

SUSY−QCD

M_h/H [GeV] -0.5

-0.25 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2

50 100 150 200 250 300 350 400 450 500

Dittmaier, H¨afliger, Kr¨amer, S., Walser

(v) b¯b+Higgs production

g

g b

H

¯b b

¯b

H

σ(pp → bb^_ h + X) [fb]

√s = 7 TeV MSTW2008 µ = (2m_b + M_h)/4

gg → bb^_ h (NLO) bb^_ → h (NNLO)

M_h[GeV] 10 ^-1

1 10 10²

100 150 200 250 300 350 400 450 500

[← ∆_b]

exact g → b¯b splitting & mass/off-shell effects no resummation of logM_H²/m²_b terms

massless/on-shell b’s, no p_{T b}

resummation of logM_H²/m²_b terms

NLO NNLO

Santander matching:

σ = σ^{4F S} + wσ^{5F S} 1 + w

w = log M_H

m_b − 2

Harlander, Kr¨amer, Schumacher

Dittmaier, Kr¨amer, S.

Dawson, Jackson, Reina, Wackeroth Harlander, Kilgore

matching

Bonvini, Papanastasiou, Tackmann Forte, Napoletano, Ubiali

M_A M_H [GeV] δ_QCD^A δ_{SU SY}^A δ_{SU SY rem}^A δ_QCD^H δ_{SU SY}^H δ_{SU SY rem}^H 100 113.9 0.23 −0.30 0.4 × 10⁻⁴ 0.27 −0.38 0.3 × 10⁻⁴ 200 200 0.38 −0.30 2.9 × 10⁻⁴ 0.39 −0.30 5.8 × 10⁻⁴ 7 TeV 300 300 0.46 −0.30 6.7 × 10⁻⁴ 0.47 −0.30 9.3 × 10⁻⁴ 400 400 0.53 −0.30 1.3 × 10⁻³ 0.53 −0.30 1.5 × 10⁻³ 500 500 0.57 −0.30 2.0 × 10⁻³ 0.59 −0.30 2.2 × 10⁻³ 100 113.9 0.14 −0.30 0.4 × 10⁻⁴ 0.17 −0.38 0.5 × 10⁻⁴ 200 200 0.28 −0.30 2.7 × 10⁻⁴ 0.29 −0.30 5.7 × 10⁻⁴ 14 TeV 300 300 0.37 −0.30 6.5 × 10⁻⁴ 0.39 −0.30 9.3 × 10⁻⁴ 400 400 0.45 −0.30 1.2 × 10⁻³ 0.45 −0.30 1.5 × 10⁻³ 500 500 0.50 −0.30 2.1 × 10⁻³ 0.49 −0.30 2.3 × 10⁻³ tgβ M_A M_H [GeV] δ^A_{SU SY} δ_{SU SY rem}^A δ_{SU SY}^H δ_{SU SY rem}^H

3 200 209.7 −0.04 2.1 × 10⁻⁴ −0.04 5.7 × 10⁻⁴ 5 200 204.0 −0.06 2.4 × 10⁻⁴ −0.06 5.3 × 10⁻⁴ 7 200 202.1 −0.08 2.5 × 10⁻⁴ −0.09 3.9 × 10⁻⁴ 7 TeV 10 200 200.9 −0.12 2.5 × 10⁻⁴ −0.12 3.8 × 10⁻⁴ 20 200 200.1 −0.21 2.6 × 10⁻⁴ −0.21 4.4 × 10⁻⁴ 30 200 200.0 −0.30 2.9 × 10⁻⁴ −0.30 5.8 × 10⁻⁴ 3 200 209.7 −0.04 2.0 × 10⁻⁴ −0.04 7.2 × 10⁻⁴ 5 200 204.0 −0.06 2.2 × 10⁻⁴ −0.06 5.0 × 10⁻⁴ 7 200 202.1 −0.08 2.4 × 10⁻⁴ −0.09 4.4 × 10⁻⁴ 14 TeV 10 200 200.9 −0.12 2.5 × 10⁻⁴ −0.12 4.1 × 10⁻⁴ 20 200 200.1 −0.21 2.7 × 10⁻⁴ −0.21 4.4 × 10⁻⁴ 30 200 200.0 −0.30 2.7 × 10⁻⁴ −0.30 5.7 × 10⁻⁴

Dittmaier, H¨afliger, Kr¨amer, S., Walser

(vi) pp → t¯bH⁻ + X

• M_H± < m_t − m_b: σ_t¯bH− = σ_t¯t × BR(¯t → ¯bH⁻)

• M_H± ∼ m_t − m_b: new NLO calculation Degrande, Frederix, Wiesemann, Zaro

• M_H± > m_t − m_b:

g

g t

H

b b

g t

H

exact g → b¯b splitting & mass/off-shell effects no resummation of logM_H²±/m²_b terms

massless/on-shell b’s, no p_{T b}

resummation of logM_H²±/m²_b terms

NLO NLO

• Santander matching

minimum: tgβ ∼

sm_t

m_b ∼ 8

Dittmaier, Kr¨amer, S., Walser Plehn Flechl, Klees, Kr¨amer, Spira, Ubiali

• analogous for charged Higgs: ˜g_b^H± = tgβ

1 + ∆_b 1 − ∆_b tg²β

!

σ_{N LO} = σ_LO|_gH^±

b →˜g_b^H± × ⁿ1 + δ_QCD + δ_SQCD^{rem o} tgβ δ_{SU SY}^rem [%]

3 −5.7%

5 −7.9%

10 −4.8%

30 −0.13%

Dittmaier, Kr¨amer, S., Walser

gg → HH

g

g

H

H

t, b •

λ

+ g

g

H

H

t, b ↔

g

g

H

H

t, b • ^ctt/bb

• threshold region: sensitive to λ

large M_HH: sensitive to c_tt/bb [e.g. boosted Higgs pairs]

q¯q→ZHH q¯q^′ →WHH qq^′ →HHqq^′

gg→HH

√s=14 TeV, M_H =125 GeV

σ(pp → HH +X) [fb]

λ_HHH/λ^SM_HHH

5 3

1 0 -1 -3

-5 1000

100

10

1

0.1 Baglio, Djouadi, Gr¨ober, M¨uhlleitner, Quevillon, S.

gg → HH : ∆σ

σ ∼ −∆λ λ [decreasing with M_HH² ]

gg → HH SM

g

g

H

H

t, b •

λ

+ g

g

H

H

t, b +· · ·

• third generation dominant → t, b

• 2-loop QCD corrections: ∼ 90 − 100%

[M_H² ≪ 4m²_t , µ = M_HH]

φ1

φ2

g

g φ1

φ2

φ, Z

g

g φ1

φ2

g g

φ1

φ2

g

g g

φ1

φ2

g

g g

φ1

φ2

g

q q

K(pp → HH+X)

√s=14 TeV

µ² = M² = Q² m_t = 175 GeV

K_tot

K_gg

K_virt

K_qq K_gq

M_H [GeV]

-0.5 0 0.5 1 1.5 2 2.5 3

80 100 120 140 160 180 200

Dawson, Dittmaier, S.

• 2-loop QCD corrections:

σ = σ₀ + σ₁

m²_t + · · · + σ₄ m⁸_t

√s_cut (GeV)

K

1.5 1.75 2 2.25 2.5 2.75 3

300 400 500 600 700

∼ +10%

Grigo, Hoff, Melnikov, Steinhauser

• NLO mass effects @ NLO in real corrections: ∼ −10%

Frederix, Frixione, Hirschi, Maltoni, Mattelaer, Torrielli, Vryonidou, Zaro

→ sizeable virtual mass effects

• NNLO QCD corrections: ∼ 20%

[M_H² ≪ 4m²_t ]

300 400 500 600 700

0.00 0.05 0.10 0.15 0.20

QHGeVL

dӐdQHfbGeVL

LO NLO

de Florian, Mazzitelli NNLO

Grigo, Melnikov, Steinhauser

• soft gluon resummation: ∼ 10%

[M_H² ≪ 4m²_t ]

Shao, Li, Li, Wang de Florian, Mazzitelli

Full NLO calculation: top only

Numerical integration, sector decomposition, contour deformation

∼ −20%

∼ −6%

Borowka, Greiner, Heinrich, Jones, Kerner, Schlenk, Schubert, Zirke Baglio, Campanario, Glaus, M¨uhlleitner, S., Streicher (in preparation)

• 13 TeV:

σ_{N LO} = 27.80(8)^+13.8%_−12.8% f b σ_{N LO}^{HEF T} = 32.22^+18%

−15% f b

⇒ -13.7% mass effects

IV CON CLUSION S

• Higgs boson searches/studies at LHC belong to major endeavours

• most (SUSY–)QCD and –elw. corrections known → ∆ <

∼ 10 − 15%

@ LHC

• several dedicated HO–tools available for SM, MSSM [NMSSM,. . . ]

• important to develop NLO event generators [← backgrounds]

BACKUP SLIDES

τ-phobic scenario [scale = 1 TeV]

m_t = 173.2 GeV tgβ = 30

M_Q˜ = 1.5 TeV M_˜g = 1.5 TeV M₂ = 200 GeV

A_b = A_t = 4.417 TeV [X_t = 2.9 M_Q˜] µ = 2 TeV

M_˜ℓ

3 = 500 GeV

m_˜t

1 = 1.318 TeV m_˜t

2 = 1.726 TeV m_˜b

1 = 1.501 TeV m_˜b

2 = 1.565 TeV

SPS 5

tgβ = 5

µ = 639.8 GeV A_t = −1671.4 GeV A_b = −905.6 GeV m_˜g = 710.3 GeV m_q˜L = 535.2 GeV m_˜b

R = 620.5 GeV m_˜t

R = 360.5 GeV

−→ m_˜t

1 = 204.1 GeV, m_˜t

2 = 656.1 GeV, m_˜b

1 = 533.3 GeV, m_˜b

2 = 625.2 GeV