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he Higgs sector in the MSSM

Wolfgang Frisch

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he Higgs sector in the Standard Model

● The Standard model contains one Higgs doublet, that gives masses to

up, down quarks and leptons.–

●   is spontaneousl broken down to

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he Higgs sector in the Standard Model

!n the SM, the global fit suggests a light Higgs boson mass

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he Higgs sector in the Standard Model

● Three Higgs boson mass ranges

● The SM cannot be the ultimate theor "gravitation#. !t breaks down at

the $lanck scale or even below some energ scaleΛ.

large top yukawa-coupling

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● %othing restricts the SM to survive up to the $lanck Scale if the Higgs

mass is in the region from &'()&*( +e. However this is unnatural.

● !f the cutoff scale is ver high, fine tuning of the Higgs boson mass isΛ

a serious problem. The Higgs boson mass depends quadraticall on the

cutoff scale .Λ

● We need to find a reason to keep the Higgs boson mass light. The mass

of the Higgs boson should be located in the electroweak scale.

● !dea- There is a smmetr that protects the Higgs boson from receiving

too large corrections.

he Higgs sector in the Standard Model

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he concept of Supersymmetry

● The Higgs boson self)energ "main contribution comes form top)loop#

superpartner scalar

●

oth contribution chancel if

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MSSM Particle Spectrum

● Charged Higgsinos and Winos mix to 2 Charginos (Fermions)

● ino! "hotino and neutral Higgsions mix to # $eutralions

(Fermions)

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he Higgs poten tial in the MSSM

●

C"- conser%ing at tree-le%el! since all phases can &e a&sor&ed

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● Two Higgs doublets are required in supersmmetric theories to

generate mass for both /up/ tpe and /down/ tpe quarks and

charged leptons.

● The mass eigenstates

Higgs sector at tree-level

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● The two Higgs fields e0panded in mass eigenstates

●   is the ratio of the two 1s

● 2ll Higgs sector parameters at tree level are determined b two

parameters and

● !n particular

Higgs sector at ree-level

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● Masses of h(, H( are 1igenvalues of the following matri0

●   is the angle that diagonali3es . Form the above results

one obtains

● From the equation for one can derive an upper bound to the

light 4$ even Higgs boson h(

Higgs sector at tree-level

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●   reaches its upper bound value in the limit of large

Higgs sector at tree-level decoupling l imit

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● Weak boson masses

● +auge boson couplings

Higgs coupl ings to gauge bosons

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● Summar of the Higgs couplings to gauge bosons

Higgs coupl ings to gauge bosons

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●Couplings relat ive to SM values

Higgs coupl ings to fermions

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● radiative corrections must be considered since, dominant effects arise

from loops involving the 'rd generation quarks and squarks and are

proportional to large 5ukawa couplings

● Squark mi0ing matri0 in interaction eigenstates for

● Squark mi0ing parameters

●

Squark mi0ing matri0 must be diagonali3ed to describe mass eigenstates

Loop-corrected Higgs mass

● Top mass in the off diagonal elements leads to a large mi0ing and a

possible light

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Loop-corrected Higgs mass

● Ma0imal mass of the 4$)even Higgs boson h( at one)loop level

●   dependence

●  logarithmic sensitivit to stop quark masses

● dependence of Higgs mass on , ma0imal value at

● Minimal mi0ing scenario with , Ma0imal mi0ing scenario with

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● Ma0imal Mi0ing vs Minimal Mi0ing

Loop-corrected Higgs mass

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Loop-corrected Higgs mass

● Ma0imal Mi0ing vs Minimal Mi0ing

MSSM Higgs mass l imits after LEP

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● MSSM Higgs production at 61$

Higgs production and decays at the LHC

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Higgs production and decays at the LHC

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● MSSM Higgs production at Tevatron and 6H4 for vector boson fusion

processes

Higgs production and decays at the LHC

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● MSSM Higgs production at Tevatron and 6H4 for gluon fusion

processes

Higgs branching rat ios

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● ranching ratio of h( and H( for small tan beta

Higgs branching rat ios

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● ranching ratio of h( and H( for large tan beta

The couplings to down)like fermions are enhanced.

Charged Higgs branching rat ios

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LHC Higgs detection

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LHC Higgs detection

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