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Perspectives on Higgs Physics

J. Lorenzo Diaz Cruz

CIFFU, FCFM-BUAP(Puebla, Mexico)

Talk at Red FAE Meeting, Tlaxcala

September 29, 2017

J. Lorenzo Diaz Cruz (BUAP) Perspectives on Higgs Physics September 29, 2017 1 / 51

1 Motivation

2 SM Higgs couplings and the LHC

3 The future of Higgs and New physics

4 Cosmic Connections (Einstein and Higgs)

5 Conclusiones

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G t Hooft and the Standard Model

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Tests del Modelo Estandar (SM)

Prediccion de los corrientes neutras (detectado en 1973),

Prediccion del quark charm (detectado en 1974)

Prediccion del W,Z (detectados en 1983),

Prediccion del quark top (detectado en 1995),

Prediccion del Higgs (detectado en 2012),

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Higgs Hunting

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What everybody was expecting? May be not..

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Martin Veltman and the Higgs

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The SM QFT and its Parameters (19)

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Higgs couplings

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How the Higgs hunt started?

After Snowmass-1982 the hadron collider got momentum → SSC,

At U of Michigan, a series of seminars were arranged around 1987,

Tiny Veltman claimed it should be difficult to extract Higgs massfrom RadCor due to ”Screening theorem”, but it was the besthope,

G. Kane, talked about our work on Intermediate Mass region(mz < mh < 2mz), I told him Okun’s book has the calculation ofh→ γγ, and made first plots of BR’s for that region: it turned outthis is how the Higgs was detected! (GKW paper),

Then, it was the turn of Ruddy Thun, an experimentalist, whosaid that detector design needs to improve in order to makerealistic all of the above,

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Busqueda directa del Higgs - B.R.’s

Interesting decay modes for a light Higgs:

h→ bb,

h→ τ+τ−,

h→ cc,

h→ γγ (top and W loops) (Ellis, Gaillard, Nanopoulos),

h→ gg (top loop) (Georgi, Glashow, Machacek, Nanopoulos)

h→WW ∗, ZZ∗ (Keung, Marciano)

h→ tt

h→ (cc) + γ/Z

B.R.(h→ XX) =Γ(h→ XX)

Γtotal(1)

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Higgs cross sections and branching ratios

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Higgs signal at LHC

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ghV V = κV gsmhV V , ghff = κF g

smhff ,J. Lorenzo Diaz Cruz (BUAP) Perspectives on Higgs Physics

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LHC13 and the Higgs

En 2015 el LHC alcanzo una energia de 13 TeV,

Permitio medir mejor los acoplos del Higgs con tau, bottom (FC),

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Falta medir acoplo del Higgs con top, charm, muon...

Medir el auto-acoplo del Higgs (hhh vertex)

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Further questions about the Higgs nature

Is it the SM Higgs? All couplings lay on a single line?

How can we test the Higgs couplings with 2nd generationfermions?( B.R.(h→ µ+µ−) ' 2× 10−4, B.R.(h→ (cc) + γ) ' 10−6 )

Are Higgs signal affected by new physics?( Is h→ γγ consistent with SM?)

Signals of Flavor Violating Higgs Couplings( LFV Higgs decays: h→ τµ ? )( Top FCNC decay: t→ c+ h ? )

Could the Higgs couplings with light quarks be extracted from:τ → µ+ (ss)?, e− µ conversion? DM search?

Is the 125 GeV Higgs part of an extended Higgs Spectrum?

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Problemas abiertos - Que es el Higgs?

Un nuevo estado compuesto?,

Realizacion de una nueva simetria? (supersimetria?),

Una manifestacion de dimensiones extra?,

Un estado asociado con Materia oscura? (JLDC, PRL, 2008),

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Models for BSM PhysicsSM structure (Flavor parameters, gauge group, families) as well as theproblems of DM, BAU, etc, motivates extensions of the SM.In particular, Models with an extended Higgs sector have been studiedextensibly:

NHDM: SM+1s, 2HDM, 3HDM, 4HDM (ρ = 1)

Triplets, LR models, .. (ρ 6= 1 or ρ ' 1 with some tunning)

IDM, stable septet, etc.. (→ DM candidate)

Hierarchy problem: MSSM, Composite Higgs, XD, ..

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New Physics and the Higgs nature

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SUSY and Higgs

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The Higgs portal

The possibility to write:

LΦX = λx(Φ†Φ)(X†X) (2)

allows to connect the SM(Higgs) with some hidden X sector:

X = Dark Matter ex. Inert doublet,

X = Flavon field (FN) (our most recent work)

X = Susy sfermion,(→ EW phase transition, gravitational waves from early universe)

X = Inflaton,

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El problema : LHC esta comprobando el SM

CMS Exotica Physics Group Summary – ICHEP, 2016

RS1(jj), k=0.1RS1(γγ), k=0.1

0 1 2 3 4

coloron(jj) x2

coloron(4j) x2

gluino(3j) x2

gluino(jjb) x2

0 1 2 3 4

RS Gravitons

Multijet Resonances

SSM Z'(ττ)SSM Z'(jj)

SSM Z'(ee)+Z'(µµ)SSM W'(jj)SSM W'(lv)

0 1 2 3 4 5

Heavy Gauge Bosons

CMS Preliminary

LQ1(ej) x2LQ1(ej)+LQ1(νj) β=0.5

LQ2(μj) x2LQ2(μj)+LQ2(νj) β=0.5

LQ3(τb) x2

0 1 2 3 4

Leptoquarks

e* (M=Λ)μ* (M=Λ)

q* (qg)q* (qγ) f=1

0 1 2 3 4 5 6

Excited Fermions

dijets, Λ+ LL/RRdijets, Λ- LL/RR

0 1 2 3 4 5 6 7 8 9 101112131415161718192021

ADD (γ+MET), nED=4, MD

ADD (jj), nED=4, MS

QBH, nED=6, MD=4 TeV

NR BH, nED=6, MD=4 TeV

String Scale (jj)

0 1 2 3 4 5 6 7 8 9 10

Large Extra Dimensions

Compositeness

TeV

TeV

TeV

TeV

TeV

TeV

TeV

13 TeV 8 TeV

LQ3(νb) x2LQ3(τt) x2LQ3(vt) x2

Single LQ1 (λ=1)Single LQ2 (λ=1)

RS1(ee,μμ), k=0.1

SSM Z'(bb)

b*

QBH (jj), nED=4, MD=4 TeV

ADD (j+MET), nED=4, MD

ADD (ee,μμ), nED=4, MS

ADD (γγ), nED=4, MS

Jet Extinction Scale

dimuons, Λ+ LLIMdimuons, Λ- LLIM

dielectrons, Λ+ LLIMdielectrons, Λ- LLIM

single e, Λ HnCMsingle μ, Λ HnCMinclusive jets, Λ+inclusive jets, Λ-

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Desviaciones del SM Higgs - ex. 2HDM (S.F. Su et al)

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Keep searching and ...

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Futuros Aceleradores-

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Futuros Aceleradores- TLEP

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Future Higgs couplings

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Mexico and the Higgs

En lo que va de 2017 se han publicado del orden de 715 paperssobre Higgs (CMS/Atlas, Pheno, Models, Theory) ,

Los mas recientes desde Mexico: Chamorro et al (1707.00100),Barradas et al (1706.00054), Garcia-Jimenez et al (1705.02637),J.I. Aranda et al (1703.07893), etc...

LFV Higgs decay: h→ τµ(Diaz-Cruz et al: 2HDM-III, MSSM, ... ) ,

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Dark Matter - WIMPS

Many models of Physics Beyond the SM are motivated because theyinclude a discrete symmetry (ex Z2), such that a Z2-odd particle isstable and could be a viable DM candidate (WIMP).

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Dark Matter searches (wimp-direct)

The search for WIMPS involves both cosmology and energy frontiers.

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Higgs- Dark matter connection

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Is our universe stable?

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The big-bang and the EWSB vacuum

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EWSB and gravitational waves

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Conclusiones

El SM es una teoria grandiosa (a la Penrose),

Se ha encontrado evidencia de un nuevo boson con masamh = 125− 126 GeV,

Las medicions actuales apuntan a un boson de Higgs tipo-SM; sedeben estudiar a detalle sus propiedades para saber si es asi o hayalgo mas alla (LHC13),

El SM deja preguntas sin resolver (Neutrino mass, Dark matter,..),que sugieren nueva fisica, la cual se debe buscar en LHC13,

No entendemos el origen del SM, los valores de sus parametros, nisus representaciones,

Interesante medir el encuentro de Higgs y Einstein ...

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The Hierachy problemWhen an scalar interacts with a heavy fermion M , with LY = yΨΨφ,and UV cutoff Λ, the scalar mass gest corrected, i.e.

m2h = m2

0 +y2

16π2[c1Λ2 + c2m

20ln

Λ

m+M2] (3)

Some solutions:

Composite Higgs (as in QCD!),

Higgs is part of D − dim vector field: AM = (Aµ, Ai),

Cancelation between boson-fermion loops ( → SUSY ),

Accidental cancelacion:

λ = y2t −

1

8[3g2 + g′2] (4)

NO LONGER WORKS! ( → mh ' 200 GeV,)

AT LOW ENERGIES....BUT WHAT ABOUT AT Mpl?

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Beyond the SM (Open Problems)

Large/Little hierarchy problem (what is the Higgs?),

Neutrino masses and flavor problem,

Strong CP problem,

Some deviations from the SM (a few std. dev.),e.g. ∆aµ, etc.

La asimetria materia- antimateria del universo,

Dark Matter, Dark Energy (Cosmological constant),

Quantum gravity,

They all suggest the need for New Physics

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La deteccion del Higgs requirio un dominio de QCD

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QCD perturbtiva (αs << 1)

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SM Physics basis

Gauge Bosons Mixing: W 3µ , Bµ → Aµ, Zµ (θW rotation)

Through SSB scalar gets a vev: < φ >= v√2, e = g2 sin θw,

Gauge boson masses: MW = gv2 , MZ = gv

2 cos θw,

Veltman ρ parameter: ρ =M2

W

M2Zcos2θw

= 1 + δρ

Fermion masses: m0f = 1√

2yfv,

Fermion mass diag.: Mf = VRM0fV†L → Vckm = V u

L Vd†L ,

Higgs mass: mh = λv, ( V ' µ2φ2 + λφ4 ),

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SM Parameters

Gauge couplings: g1, g2, g3 , θqcd,

→ αem = e2

4π = 1137 , sin2 θw = 0.223, αs = 0.118,

Higgs Potential: µ2, λ → v = 246 GeV, mh = λv = 125 GeV

leptons: me = 0.511 Mev, mµ = 105 Mev, mτ = 1705 Mev,

u-type quarks: mu = 5− 7 MeV, mc = 1300 MeV, mt = 173 GeV,

d-type quarks: md = 5− 10 MeV, ms = 300 MeV, mb = 4.5 GeV,

CKM elements: Vij (3x3 matrix) → 3 angles + 1 phase (CPV)

A total of: 4+2+3+3+3+3+1= 19 parameters (plus neutrinos!)

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SM Parameters

Gauge couplings: g1, g2, g3 , θqcd,

→ αem = e2

4π = ?, sin2 θw = ?, αs = ?,

Higgs Potential: µ2, λ → v = ? , mh = λv = ?

leptons: me = ? , mµ = ?, mτ = ?,

u-type quarks: mu = ? , mc = ? , mt = ?,

d-type quarks: md = ? , ms = ? , mb = ? ,

CKM elements: Vij (3x3 matrix) → ? angles + ? phase (CPV)

A total of: ?? parameters (plus neutrinos!)

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Supersimmetry (SUSY)

Why is SUSY attractive? It is a new simmetry that relates fermionsand bosons,

Offers the possibility to stabilize the Higgs mass and EWSB,

Improves Unification and o.k. with proton decay,

Favors a light Higgs boson, in agreement with EWPT (andLHC?), i.e. mh ≤ 160 GeV,

New sources of flavor and CP violation may help to get the rightBAU,

LSP is stable and a possible Dark matter candidate.

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The MSSM

The minimal extension of the SM consistent with SUSY, is based on:

SM Gauge Group (→ gauge bosons and gauginos),

3 families of fermions and sfermions,

Two Higgs doublets (Hu and Hd),

Soft-breaking of SUSY (Hidden sector),

R-parity distinguish SM and their superpartners→ LSP is stable and DM candidate.

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SUSY Spectrum (String inspired)

(See G.l. Kane et al, arXive)J. Lorenzo Diaz Cruz (BUAP) Perspectives on Higgs Physics

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Slim Susy and Heavy Higgses (JLDC et al, PLB,2013)

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