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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

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Page 1: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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

Page 2: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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

J. Lorenzo Diaz Cruz (BUAP) Perspectives on Higgs Physics September 29, 2017 2 / 51

Page 3: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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Page 4: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

G t Hooft and the Standard Model

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Page 5: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 6: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 10: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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The SM QFT and its Parameters (19)

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Page 13: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

Higgs couplings

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Page 14: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 15: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 18: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

ghV V = κV gsmhV V , ghff = κF g

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

September 29, 2017 18 /51

Page 19: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 20: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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

Medir el auto-acoplo del Higgs (hhh vertex)

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Page 21: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 23: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 27: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 28: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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

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Page 29: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

Keep searching and ...

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Page 30: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

Futuros Aceleradores-

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Futuros Aceleradores- TLEP

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Future Higgs couplings

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Page 33: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 38: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

The big-bang and the EWSB vacuum

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EWSB and gravitational waves

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Page 40: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 41: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 45: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 46: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 47: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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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Page 50: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

SUSY Spectrum (String inspired)

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

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Page 51: Perspectives on Higgs Physics - UNAMindico.nucleares.unam.mx/.../slides/0.pdf · Perspectives on Higgs Physics J. Lorenzo Diaz Cruz CIFFU, FCFM-BUAP (Puebla, Mexico) Talk at Red FAE

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

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

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