slide1
Download
Skip this Video
Download Presentation
UTA in the Standard Model With Updated Inputs after the CERN Workshop Sensitivity to New Physics

Loading in 2 Seconds...

play fullscreen
1 / 25

UTA in the Standard Model With Updated Inputs after the CERN Workshop Sensitivity to New Physics - PowerPoint PPT Presentation


  • 49 Views
  • Uploaded on

UT Fits in the Standard Model and Sensitivity to New Physics. M.Ciuchini, E.Franco, VL, F.Parodi, L.Silvestrini, A.Stocchi. UTA in the Standard Model With Updated Inputs after the CERN Workshop Sensitivity to New Physics 1. Impact of Improved Determinations

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' UTA in the Standard Model With Updated Inputs after the CERN Workshop Sensitivity to New Physics' - wilmet


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

UT Fits in the Standard Model and Sensitivity to New Physics

M.Ciuchini, E.Franco, VL, F.Parodi, L.Silvestrini, A.Stocchi

UTA in the Standard Model

With Updated Inputs after the CERN Workshop

Sensitivity to New Physics

1.Impact of Improved Determinations

2. UTA with New Physics Contributions

1 uta in the standard model

1.UTA in the Standard Model

With updated inputs after the

CERN Workshop

slide3

Λ

ρ

η

η

ρ

ρ

η

ρ

η

The Unitarity Triangle Analysis

2

input parameters

σ(2003)

σ(2002)

Input Parameters

▲ 1.80

▼ 0.93

▼ 0.83

▼ 0.85

▲ 1.08

▲ 1.40

▼ 0.93

slide6

η

ρ

ρ

η

η

η

ρ

η

ρ

ρ

η

ρ

f( , , x|c1,...,cm) ~ ∏ fj(c|,,x) ∏ fi(xi) fo(,)

j=1,m

i=1,N

f( , |c) ~ L(c|,) fo(,)

Fit Method: we use the

Bayesian Approach

The Bayes Theorem:

but also frequentistic approaches have been considered: Rfit , Scanning, ...

slide7

Bayesian

^

Example: BK = 0.86 ± 0.06 ± 0.14

ΔL

p.d.f

Rfit

Conclusion of the CERN Workshop:

“The main origin of the difference on the output quantities between the Bayesian and the Rfit method comes from the likelihood associated to the input quantities”

“If same (and any) likelihood are used the output results are very similar”

slide8

η

ρ

+ 0.029

= 0.347

– 0.026

= 0.162 ± 0.046

η

ρ

F. Parodi @ ICHEP 2002

= 0.355 ± 0.027

= 0.203 ± 0.040

UTA IN THE SM: FIT RESULTS

slide9

Sin2α= – 0.13

γ= 64.5

+ 0.28

+ 7.5

– 0.23

– 6.5

Sin2α, Sin2βandγ

Sin2β= 0.705 ± 0.035

Without including the χ-logs effect inξ:

γ= 60 ± 6

slide10

INDIRECT EVIDENCE OF CP VIOLATION

Sin2βINDIR.= 0.685 ± 0.055

Sin2βDIR.= 0.734 ± 0.054

slide11

WITH Δms

WITHOUT Δms

Δms= (18.6 ± 1.7) ps-1

Δms= (20.9 ) ps-1

+ 3.9

– 4.3

Predictions for Δms

slide12

RED: WITH ALL CONSTRAINTS / BLUE: WITHOUT Δms

By removing the constraint from Δms: γ= 65 ± 7 → γ= 59 ± 10

slide14

1) Impact of improved experimental determinations

“To which extent improved determinations of the experimental constraints will be able to detect New Physics?”

slide15

SM prediction with A(J/ψKs)

B →φKs?

MEASUREMENTS OF SIN2β

SM prediction without A(J/ψKs)

Red lines: σ= 0.2, 0.1, 0.05, 0.02

Blue line: all errors divided by 2

slide16

MEASUREMENT OF Δms

Red lines: σ= 1.0, 0.5, 0.2, 0.1 ps-1

Blue line: all errors divided by 2

Blue line: error on ξ divided by 2

slide17

MEASUREMENT OF γ

Red lines: σ= 20, 15, 10, 5 degrees

Blue line: all errors divided by 2

slide18

2) UTA with New Physics contributions

“Given the present theoretical and experimental constraints, to which extent the UTA can still be affected by New Physics contributions?”

slide19

ASSUMPTIONS

1) Only 3 Families we still have the CKM Matrix and a Unitary Triangle

2)

New Physics effects can only appears in one of the three mixing amplitudes.

Not true in several models: MFV,...

slide20

Mq = Cq e2i (Mq)SM

φq

for Bq–Bq mixing

Im(MK) = Cε Im(MK)SM

for K–K mixing

PARAMETERIZATION

The New Physics Hamiltonian contains in general new FC parameters, new short-distance coefficients and matrix elements of new local operators.

We parameterize the New Physics mixing amplitudes in a simple general form:

Soares, Wolfenstein 92

Grossman, Nir, Worah 97

....

We introduce 4 real coefficients: {Cd, φd},Cs, Cε

slide21

New Physics in K–K mixing

γ

εK = Cε(εK)SM

sin(2β)

+ 0.17

Cε = 0.86

– 0.14

(The large error reflects the uncertainty on BK)

slide22

New Physics in Bs–Bs mixing

γ

Δms = Cs(Δms)SM

Cs

sin(2β)

In the lack of an experimental determination of Δms, Cs can be arbitrarily large…

slide23

New Physics in

Bd–Bd mixing

Cd

Δmd = Cd(Δmd)SM

A(J/ψ KS)~ sin2(β+φd)

Cd

φd

φd

With φd only determined up to a trivial twofold ambiguity: β+φd → π–β–φd

slide24

HOW CAN WE DISCRIMINATE BETWEEN THE 2 SOLUTIONS?

Δms ,γ , |Vtd|, …

η

ρ

sin(2β)

γ

IS THE NEW PHYSICS SOLUTION “NATURAL”?

slide25

CONCLUSIONS

  • A LOT OF IMPORTANT WORK HAS BEEN DONE SINCE THE LAST CKM WORKSHOP IN ORDER TO IMPROVE THE DETERMINATION OF BOTH EXPERIMENTAL AND THEORETICAL INPUTS IN THE UTA
  • THE RESULTS OF THE UTA ARE IN EXCELLENT AGREEMENT WITH THE STANDARD MODEL PREDICTIONS, BUT (LUCKILY) WE STILL HAVE ROOM FOR NEW PHYSICS.
ad