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Higgsless

(vegetarians

only)

Compositeness

(lasagna romana)SM

(plain white rice)

NMSSM(no b

eef,

to solve

the mu pro

blem)

Anthropic(this dish doesn’t contain

human meat, otherwise you

wouldn’t be there tasting it)

nuSM

(борщ

)

BSM: early 2012

MSSM(low on ca

lories -

for the hier

archy probl

em)

BSM: early 2014

BSM: early 2014

Generic SM precision tests

BSM: early 2014

Generic SM precision tests

BSM Inspired precision searches

BSM: early 2014

“fare la scarpetta”

Francesco Riva (EPFL - Lausanne)

Pomarol, Gupta, Liu, Falkowski, Masso, Espinosa, Elias-Miro(1308.2803 ,1308.1879, 1405.0181, 1411.0669, 150x.xxxx)

Ingredients by:

recipe by

Motivation (short)

Provide a meaningful parametrization of departures from SM (in form of EFT)

What are the most important parameters to search for?

BSM inspired: interpretable as search

Motivation (short)

Provide a meaningful parametrization of departures from SM (in form of EFT)

What are the most important parameters to search for?

BSM inspired: interpretable as search

MotivationSearches for New Physics

PrecisionDirect

Motivation

LSM

Searches for New Physics

Motivation

LSM

LUVYU , YD, YE

1)

2)

3)

E/⇤

H/fExpa

nsion

Motivation

LSM⌘ L4

LUVYU , YD, YE

1)

2)

3)

L6

L8E/⇤

H/fExpa

nsion

1) No direct findings: M inew ⇠ ⇤ � mW

Expansion in Dµ/⇤

Motivation

LSM⌘ L4

LUVYU , YD, YE

1)

2)

3)

L6

L8E/⇤

H/fExpa

nsion

2) Higgs is excitation around EWSB vacuum

Expansion in H/f

(f ⌘ ⇤/g⇤)

v + h

Some BSM coupling (necessary, since fields have different weight in than derivatives)

Leadin

g term

in H/f

expans

ion

Leadin

g term

in h/f

expans

ion?

e.g. Cohen,Kaplan,Nelson’97~

Motivation

LSM

LUVYU , YD, YE

1)

2)

3)

E/⇤

H/fExpa

nsion

Motivation

LSM⌘ L4

LUVYU , YD, YE

1)

2)

3)

L6

L8E/⇤

H/fExpa

nsion

LSM⌘ L4

MotivationLe↵ =

⇤4

g2⇤L✓Dµ

⇤,g⇤H

⇤,g⇤fL,R

⇤3/2,gFµ⌫

⇤2

◆' L4 + L6 + · · · ,

Buchmuller,Wyler’86;Giudice et al ’07Grzadkowski et al’10Alonso et al’13

SM X

i

ci

⇤2Oi

What defines SM?(from an experimentalist’s point of view)

LSM⌘ L4

- Parameters: 19 in

MotivationLe↵ =

⇤4

g2⇤L✓Dµ

⇤,g⇤H

⇤,g⇤fL,R

⇤3/2,gFµ⌫

⇤2

◆' L4 + L6 + · · · ,

Buchmuller,Wyler’86;Giudice et al ’07Grzadkowski et al’10Alonso et al’13

SM X

i

ci

⇤2Oi

L4 ⌘ LSM

What defines SM?

Fixed by 19 most precise experiments

(from an experimentalist’s point of view)

mW = mZ cos ✓Wghff = mf/v

LSM⌘ L4

- Parameters: 19 in- Accidental relations (due to d=4 Lagrangian)

e.g.

MotivationLe↵ =

⇤4

g2⇤L✓Dµ

⇤,g⇤H

⇤,g⇤fL,R

⇤3/2,gFµ⌫

⇤2

◆' L4 + L6 + · · · ,

Buchmuller,Wyler’86;Giudice et al ’07Grzadkowski et al’10Alonso et al’13

SM X

i

ci

⇤2Oi

L4 ⌘ LSM

What defines SM?

Fixed by 19 most precise experiments

Predictions for other experiments

(from an experimentalist’s point of view)

mW = mZ cos ✓Wghff = mf/v

L6LSM⌘ L4

- Parameters: 19 in- Accidental relations (due to d=4 Lagrangian)

LBSM '

e.g.

- Parameters: 76 dimension-6 ops.- Accidental relations ?

MotivationLe↵ =

⇤4

g2⇤L✓Dµ

⇤,g⇤H

⇤,g⇤fL,R

⇤3/2,gFµ⌫

⇤2

◆' L4 + L6 + · · · ,

Buchmuller,Wyler’86;Giudice et al ’07Grzadkowski et al’10Alonso et al’13

SM X

i

ci

⇤2Oi

L4 ⌘ LSM

What defines SM? What defines BSM?

mW = mZ cos ✓Wghff = mf/v

L6LSM⌘ L4

- Parameters: 19 in- Accidental relations (due to d=4 Lagrangian)

LBSM '

e.g.

- Parameters: 76 dimension-6 ops.- Accidental relations ?

Motivation

17

Le↵ =⇤4

g2⇤L✓Dµ

⇤,g⇤H

⇤,g⇤fL,R

⇤3/2,gFµ⌫

⇤2

◆' L4 + L6 + · · · ,

Buchmuller,Wyler’86;Giudice et al ’07Grzadkowski et al’10Alonso et al’13

SM X

i

ci

⇤2Oi

L4 ⌘ LSM

What defines SM? What defines BSM?

This Tal

k: HIGGS PH

YSICS

(one fam

ily, CP c

onservin

g)

PART 117 BSM Parameters:

(Counting independent dimension-6 terms that can affect Higgs physics)

mu

mdme

mh

v

hhi=

v

g0

g

gs

In the vacuum <h>=v, operators only redefine SM parameters! Observable only in Higgs physics!

Elias-Miro,Espinosa,Masso,Pomarol’13; Gupta,Pomarol,FR’14

Higgs Physics Only

Parameters for BSM: Higgs-only

|H|2 ⇥ LSM

1

g2sGµ⌫G

µ⌫ +|H|2

⇤2Gµ⌫G

µ⌫ =

✓1

g2s+

v2

⇤2

◆Gµ⌫G

µ⌫ + h2v

⇤2Gµ⌫G

µ⌫ + ...

Higgs Physics Only

mu

mdme

mh

v

Elias-Miro,Espinosa,Masso,Pomarol13; Gupta,Pomarol,FR’14

hhi=

v

+

g0

g

gs

Z�

?h3?

i ' 1 + civ2

f2

i ' 1 + ci16⇡2v2

⇤2

Parameters for BSM: Higgs-only

from ratiowith SM loop

8 Parameters fixed by Higgs physics experiments!

Higgs Physics Only EW and Higgs physics

Parameters for BSM: Higgs+EW

EW and Higgs physicsIn the vacuum <h>=v, these operators can be measured!

Z⌫⌫ ZeLeL ZeReR

ZuRuR ZdRdRZdLdLZuLuL

7 of these operators modify:

Parameters for BSM: Higgs+EW

All tightly constrained by LEP1 1/1000

Preview:

EW and Higgs physicsIn the vacuum <h>=v, these operators can be measured!

Z⌫⌫ ZeLeL ZeReR

ZuRuR ZdRdRZdLdLZuLuL

7 of these operators modify:

Impact of these operators in H-physics is irrelevant

Parameters for BSM: Higgs+EW

All tightly constrained by LEP1 1/1000

xOPreview:

EW and Higgs physicsIn the vacuum <h>=v, these operators can be measured!

2 of these modify TGCs: g1Z �Hagiwara,Hikasa,Peccei,Zeppenfled’87

Parameters for BSM: Higgs+EW

Preview:

EW and Higgs physicsIn the vacuum <h>=v, these operators can be measured!

2 of these modify TGCs: g1Z �

LEP2(ee->WW) constrained* �5/100

Hagiwara,Hikasa,Peccei,Zeppenfled’87

Parameters for BSM: Higgs+EW

W+

W�

G0 hW+

W�

Preview:

Might as well use these as parameters, to keep relations between observables manifest!

Small Summary: Parameters

�gZeL, �gZeR, �gZ⌫ , �gZuL, �gZdL, �gZuR, �gZdR

V ,b,⌧ ,t,G,�� ,Z� ,h3 g1Z ,�

Gupta,Pomarol,FR’14“BSM Primaries”

PART 2Some Relations

(mostly for Higgs physics)

Gupta,Pomarol,FR’14

�Zff = �Wff 0

Relations 1

PDG

Falkowski,FR’14

�gZWW = �gWWWW = gZZ

WW = �g�ZWW

Relation Vff couplings:

Relation VVV,VVVV couplings:

�g��WW = 0

Gupta,Pomarol,FR’14

�Zff = �Wff 0

Relations 1

PDG

Falkowski,FR’14

0.01

�gZWW = �gWWWW = gZZ

WW = �g�ZWW

Relation Vff couplings:

Relation VVV,VVVV couplings:

�g��WW = 0

BSM Relations for Run 2Deviations in different. distr. of or

h ! Wffh ! Zff

Related with Triple Gauge Coupling

Pomarol,FR’13; Gupta et al’ to Appear

+

See e.g. Isidori,(Manohar),Trott’13Falkowski,Vega-Morales’14

h ! Z�, ��Related with

0 200 400 600 800 1000 p2

0.0005

0.0010

0.0015

0.0020

1GdG

dp2

h -> V

V

Related with Zff couplingsLEP 1

p2>5 GeV

BSM Relations for Run 2Deviations in different. distr. of or

h ! Wffh ! Zff

Related with Triple Gauge Coupling

Pomarol,FR’13; Gupta et al’ to Appear

+

See e.g. Isidori,(Manohar),Trott’13Falkowski,Vega-Morales’14

h ! Z�, ��Related with

0 200 400 600 800 1000 p2

0.0005

0.0010

0.0015

0.0020

1GdG

dp2

200 400 600 800 1000 p2

0.0002

0.0004

0.0006

0.0008

0.0010

1GdG

dp2

h -> V

V

Related with Zff couplingsLEP 1

p2>5 GeV

BSM Relations for Run 2Deviations in different. distr. of or

h ! Wffh ! Zff

Related with Triple Gauge Coupling

Pomarol,FR’13; Gupta et al’ to Appear

+

See e.g. Isidori,(Manohar),Trott’13Falkowski,Vega-Morales’14

h ! Z�, ��Related with

0 200 400 600 800 1000 p2

0.0005

0.0010

0.0015

0.0020

1GdG

dp2

200 400 600 800 1000 p2

0.0002

0.0004

0.0006

0.0008

0.0010

1GdG

dp2

h -> V

V

Related with Zff couplingsLEP 1

This is t

he sensi

tivity

we are ai

ming to m

ake

H-physics

competi

tive!

p2>5 GeV

BSM Relations at Run 1 Custodial Symmetry in h decays h->VV* �WZ

Pomarol,FR’13

Pomarol,FR’13

Off-Shell V mZ 6= mW

Integrated Decay Width already sensitive to p-dependence of hVV coupling!

BSM Relations at Run 1 Custodial Symmetry in h decays h->VV* �WZ

Pomarol,FR’13

Pomarol,FR’13

Off-Shell V mZ 6= mW

Integrated Decay Width already sensitive to p-dependence of hVV coupling!

BSM Relations at Run 1 Custodial Symmetry in h decays h->VV* �WZ

Pomarol,FR’13This is t

he sensi

tivity

we are ai

ming to m

ake

H-physics

competi

tive!

Pomarol,FR’13

Off-Shell V mZ 6= mW

Integrated Decay Width already sensitive to p-dependence of hVV coupling!

Parametrization of BSM for Higgs physics:

Conclusions

728 {g,� ,V ,t,b,⌧ ,Z� ,h3}

{gZ1 ,�}

EFT: - Consistent framework to search for leading BSM effects

{�gZeL, �gZeR, �gZ⌫ , �gZuL, �gZdL, �gZuR, �gZdR}

- Motivation for precision tests

Parametrization of BSM for Higgs physics:

Conclusions

728 {g,� ,V ,t,b,⌧ ,Z� ,h3}

{gZ1 ,�}

Focusing on the most relevant parameters (combining different experiments) increases the sensitivity to new physics

EFT: - Consistent framework to search for leading BSM effects

{�gZeL, �gZeR, �gZ⌫ , �gZuL, �gZdL, �gZuR, �gZdR}

- Motivation for precision tests

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