technimatter: a new direction for sewm? · introduction t = 0 phase diagrams hot technimatter...

INTRODUCTION T = 0 PHASE DIAGRAMS HOT TECHNIMATTER CONCLUSIONS

Technimatter: a new direction for SEWM?

Kimmo TuominenCP3-Origins,

University of Southern Denmark&

Helsinki Institute of Physics.

SEWM10, Montreal, 29/06-2/07/2010


OUTLINE

INTRODUCTION

T = 0 PHASE DIAGRAMS

HOT TECHNIMATTER

CONCLUSIONS


MOTIVATIONTraditionally SEWM meetings have been

I Mostly about EW (90s)I ... or mostly about S (00s)

æ

æ

æ

æ

æ

æ

æ

1996 1998 2000 2002 2004 2006 2008

0.2

0.4

0.6

0.8

1.0S

S + EW = 1, from availableproceedings.

Technimatter is Strong and Electroweak!


DYNAMICAL EWSB

Strong (i.e. QCD, Nf = 2):

I 〈uLuR + dLdR + h.c.〉 6= 0I SU(2)L × SU(2)R → SU(2)V, 3 GBs π±, π0.

and Electroweak:

〈qLqR〉 charged under electroweak, hence

SU(2)L ×U(1)Y〈QQ〉−→ U(1)em

W±,Z absorb the GBs and gain mass.I But: MW = gFπ = 30 MeV,I and pions not absorbed.


DYNAMICAL EWSB



and Electroweak:


SU(2)L ×U(1)Y〈QQ〉−→ U(1)em

W±,Z absorb the GBs and gain mass.

I But: MW = gFπ = 30 MeV,I and pions not absorbed.


DYNAMICAL EWSB



and Electroweak:


SU(2)L ×U(1)Y〈QQ〉−→ U(1)em

W±,Z absorb the GBs and gain mass.I But: MW = gFπ = 30 MeV,I and pions not absorbed.


TECHNICOLOR (TC)

A new gauge sector with new fermionsI Techni-quark condensate 〈QLQR〉: Dynamical EWSB.I Fπ,TC = 246 GeV tuned to yield W±,Z masses.

I SM fermion masses from Extended TC (ETC), at higher energyscale ΛETC.

I Depending on chiral symmetry, many technipions.I These obtain masses from ETC,I but also flavor changing neutral current interactions arise!I ΛETC must be large to suppress FCNC (' 1000 TeV),I ...but then SM fermion masses small.


TECHNICOLOR (TC)

A new gauge sector with new fermionsI Techni-quark condensate 〈QLQR〉: Dynamical EWSB.I Fπ,TC = 246 GeV tuned to yield W±,Z masses.I SM fermion masses from Extended TC (ETC),

αψψQQΛ2

ETC,

at higher energy scale ΛETC.

I Depending on chiral symmetry, many technipions.I These obtain masses from ETC,I but also flavor changing neutral current interactions arise!I ΛETC must be large to suppress FCNC (' 1000 TeV),I ...but then SM fermion masses small.


TECHNICOLOR (TC)


αψψQQΛ2

ETC,

at higher energy scale ΛETC.I Depending on chiral symmetry, many technipions.

I These obtain masses from ETC,I but also flavor changing neutral current interactions arise!I ΛETC must be large to suppress FCNC (' 1000 TeV),I ...but then SM fermion masses small.


TECHNICOLOR (TC)


αψψQQΛ2

ETC+ β

QQ QQΛ2

ETC,

at higher energy scale ΛETC.I Depending on chiral symmetry, many technipions.I These obtain masses from ETC,

I but also flavor changing neutral current interactions arise!I ΛETC must be large to suppress FCNC (' 1000 TeV),I ...but then SM fermion masses small.


TECHNICOLOR (TC)


αψψQQΛ2

ETC+ β

QQ QQΛ2

ETC+ δ

ψψ ψψ

Λ2ETC

,

at higher energy scale ΛETC.I Depending on chiral symmetry, many technipions.I These obtain masses from ETC,I but also flavor changing neutral current interactions arise!

I ΛETC must be large to suppress FCNC (' 1000 TeV),I ...but then SM fermion masses small.


TECHNICOLOR (TC)


αψψQQΛ2

ETC+ β

QQ QQΛ2

ETC+ δ

ψψ ψψ

Λ2ETC

,

at higher energy scale ΛETC.I Depending on chiral symmetry, many technipions.I These obtain masses from ETC,I but also flavor changing neutral current interactions arise!I ΛETC must be large to suppress FCNC (' 1000 TeV),

I ...but then SM fermion masses small.


TECHNICOLOR (TC)


αψψQQΛ2

ETC+ β

QQ QQΛ2

ETC+ δ

ψψ ψψ

Λ2ETC

,

at higher energy scale ΛETC.I Depending on chiral symmetry, many technipions.I These obtain masses from ETC,I but also flavor changing neutral current interactions arise!I ΛETC must be large to suppress FCNC (' 1000 TeV),I ...but then SM fermion masses small.


WALKING TECHNICOLOR

Walking features two scales, ΛETC � ΛTC

RG from ΛTC to ΛETC enhances 〈QQ〉,→ larger mf


MINIMAL MODELS; HIGHER REPRESENTATIONS

β(g) =β0

(4π)3 g3 +β1

(4π)5 g5

FP : α∗ = −β0

β1(4π), χSB : αc =

π

3C2(R),

F

2AS

2S

2 3 4 5Nc

5

10

15

N f

Sannino, Tuominen ’04;

(alternative methods: Ryttov, Sannino ’07; Poppitz, Unsal ’09)

•Conformal window: αc >∼ α∗

•Lower boundary: αc ∼ α∗

•Phenomenology: S = Nf

12πd(R)small, minimize Nf .

I Nc = 2,Nf = 2, 2SI Nc = 3,Nf = 3, 2S


TEST USING LATTICE

Recently, lot of interest in higher representations...I Motivated by applications to BSM...I in any case will learn a lot of strong dynamics!


LATTICE SCORE...FIG. FROM E.NEILKeeping Score

Iwasaki et al. '04

Nc=3, fund.

Nf=0 4 8 12 16

Appelquist, Fleming, Neil '07, '09

Deuzeman, Lombardo, Pallante '08

Fodor et al. '09

Jin and Mawhinney '09 (unpublished)

Hasenfratz '09 (unpublished)

Fodor et al. '09

Appelquist, Fleming, Neil '07, '09

Deuzeman, Lombardo, Pallante '09

Jin and Mawhinney '09 (unpublished)

Heller '98

Hasenfratz '09

Fodor et al. '09Appelquist, Cohen, Schmaltz '99

Nc=2, fund.

Nf=0 4 8 12 16

Sui '01 (Columbia PhD thesis)

Hasenfratz '09

Fodor et al. '09

Appelquist, Terning, Wijewardhana '97

Appelquist, Terning, Wijewardhana '97

confined, <!!>"0

conformal, <!!>=0

unknown, <!!>=?

asym. freedom lost

lattice sim.

Nfc bound, estimate

Muraya, Nakamura, Nonaka '03

Skullerud et al. '04

Iwasaki et al. '04

Iwasaki et al. '04

Fodor et al. '09Yamada et al. '09

(unpublished)

Nc=3, sym.

Nf=0 4

Shamir, Svetitsky, DeGrand '08; DeGrand '09

Nc=2, adj.

Catterall, Giedt, Sannino, Schneible '08

Del Debbio, Patella, Pica '08; Del Debbio et al. '09

Nf=0 4

Hietanen, Rummukainen, Tuominen '09


PHENOMENOLOGY: MWTC (MINIMAL WALKING TC)

SU(2) with Nf = 2 adjoint fermions (3 doublets).Witten anomaly: must exist additional lepton doublet.

I Phenomenologically viable: S = 12π = 0.16.

I Dietrich, Sannino, Tuominen ’05

I Dark matter candidates: Technibaryon, 4th generation ν,...(... Chris Kouvaris’ talk )

I Gudnason, Kouvaris, Sannino ’07

I Kouvaris ’07

I Kainulainen, Tuominen, Virkajarvi ’07, ’09

I Collider signatures: non-sequential 4th generation,technihadrons,...

I Antipin, Heikinheimo, Tuominen ’09, ’10

I Frandsen, Masina, Sannino ’09


FROM ADS/QCD TO ADS/WTC (TALKS BY CHESLER AND MYERS)

Quasi-conformal theory→ apply AdS/CFT methodse.g. improved holography, (IH), (Kiritsis et.al ’08).

S =1

16πG5

∫d5x√−g[

R− 43

(∂µφ)2 + V(φ)], V(0) =

12L2

ds2 = b2(z)[−f (z)dt2 + dx2 +

dz2

f (z)

], λ(z) = eφ(z) ∼ Ncg2.

Asymptotically (z→ 0) AdS.

b(z),φ(z), f (z) from Einstein equations; input V(φ).

The key relation to boundary theory:

β(λ) = bdλdb


GENERAL STRATEGY

Using V(λ) with correct UV asymptotics + confinement,

I Find BH and vacuum solutions.I Compute T, S = A/(4G5), s = S/V.I Integrate p = p(T) from s(T) = p′(T).

E.g. SU(Nc) thermo from

V(λ) =12L2 [1 + V0λ+ V1λ

4/3√

ln(1 + V2λ4/3 + ...)].

(Gursoy, Kiritsis, Mazzanti, Nitti ’09; M. Panero’s talk)


WALKING TECHNICOLOR ALANEN, KAJANTIE, TUOMINEN ’10

Construct the potential with guiding parametrization

β(λ) = −cλ2 (1− λ)2 + e1 + aλ3 , e > 0.

W(λ) = W(0) exp

(−4

9

∫ λ

0dλβ(λ)λ2

),

Vacuum V(λ) = 12W2

[1−

(β(λ)3λ

)2]≡ V0(λ, c, e, a)

→Model walking and confinement with

V(λ) = V0(λ, c, e, a)√

ln(F + λ4)/ ln(F)

I e small, sets quasi-conformality.I c, the order of the transtion. (First order: c >∼ 10.)I F sets the hierarchy TETC/TTC

(walking has two scales, hence expect two transitions)


WALKING TECHNICOLOR ALANEN, KAJANTIE, TUOMINEN ’10

→Model walking and confinement with

V(λ) = V0(λ, c, e, a)√

ln(F + λ4)/ ln(F)

I e small, sets quasi-conformality.I c, the order of the transtion. (First order: c >∼ 10.)I F sets the hierarchy TETC/TTC

(walking has two scales, hence expect two transitions)


WALKING TC THERMO c = 11.8, e = 0.1, a = 2c/3, F = 1000

1 2 3 4 5Λ

-1.0

-0.8

-0.6

-0.4

-0.2

0.0ΒHΛL

5 10 15 20 25-40-35-30-25-20-15-10

Ε

T4L

Tc4

3 p

T4

F=1000

0.2 0.4 0.6 0.8 1.0 1.2

T

TETC

-0.05

0.00

0.05

0.10

0.15

0.0014 0.0015 0.00160.

0.0004

0.0008

I V(λ) gives walking β(λ); confinement at large λ.

I Two transitions, three phases

I Confinement below TTC = Tweak.I Quasi-conformal phase between TTC and TETC; ε = 3p.I TETC/TTC ∼ 103



1 2 3 4 5Λ

-1.0

-0.8

-0.6

-0.4

-0.2

0.0ΒHΛL

5 10 15 20 25-40-35-30-25-20-15-10

Ε

T4L

Tc4

3 p

T4

F=1000

0.2 0.4 0.6 0.8 1.0 1.2

T

TETC

-0.05

0.00

0.05

0.10

0.15

0.0014 0.0015 0.00160.

0.0004

0.0008

I V(λ) gives walking β(λ); confinement at large λ.I Two transitions, three phases

I Confinement below TTC = Tweak.I Quasi-conformal phase between TTC and TETC; ε = 3p.I TETC/TTC ∼ 103



Spectrum:−ψ′′(z) + VShr(z)ψ(z) = m2ψ(z)

VSchr =32

(bb

+b2

2b2

)+

XX

+ 3bXbX

, X ≡ β(λ)3λ

,

for 0++ (red) and 2++ (blue) “glueballs”.

LogHzL

LogHV L

e = 0.1, c = 13 � H1 + eLF = 1000

tensor

scalar

0 1 2 3 4 5 6

-4

-2

0

2

M2 ∼ n, some lightest states shown, M0 ∼ 2πTTC.


DISCLAIMERS

I We have applied IH as a scheme for the β-function.I Fermions essential in WTC, very non-trivial in AdS/CFT.I How far our bottom-up scheme realistically applies?

Confined

Deconfined

Quasi-Conformal

0.1 0.2 0.3 0.4 0.5 0.6e0.001

0.1

10

1000

TT HeL�TT H0.1L

1st order

0.0 0.1 0.2 0.3 0.4 0.54

6

8

10

c

I e ∼ Nf .I Test on lattice:

I Fix NcI Find boundary of CWI Tune away with Nf


CONCLUSIONS

•Technimatter: Strong and Electroweak

•Phenomenologically viable

I Nc = 2, 3, Nf = 2 in 2-index sym. rep.

•New insights to strong dynamics. (Lattice)

•More playground for AdS/CFT

•New hot phases (in the early universe?)

technimatter: a new direction for sewm? · introduction t = 0 phase diagrams hot technimatter...

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