search for b s oscillations at d constraining the ckm matrix large uncertainty precise measurement...

2 2 2 ˆ ˆ td ts B B B B B B d s V V f B f B M M Δm Δm d d s s d s Search for B s oscillations at D tb ts td cb cs cd ub us ud V V V V V V V V V 1 ) 1 ( 2 1 ) ( 2 1 2 3 2 2 3 2 Aλ iη ρ Aλ Aλ λ λ iη ρ Aλ λ λ Constraining the CKM matrix 8 . 0 , 22 . 0 A Large uncertainty ecise measurement of V td properly constrain the CKM matrix yield info on strength of CP-violation V td can be measured via • rare kaon decay • mixing in the B system ) ( 2 QCD V m td d F but large QCD effects dominate the extraction of V td Neutral B meson transition from particle to anti-particle state, and vice-versa Weak eigenstates mass eigenstates Caused by higher order flavor changing weak interactions: m q = m(B o heavy ) - m(B o light ) m q |V tb V tq | 2 Mixing parameters x q = m q / q and y q = q / q where q=d,s First oscillations observed at ARGUS (’87) in the B d system signaled a large top quark mass (later verified by CDF and DØ) What is mixing ? consider ratio from Lattice QCD 1 005 . 0 507 . 0 ps m d m d has been precisely measured: the world average is a direct measurement of m s + m d (current value) + V ts (relatively well known) V td Central Scintillator Forward Mini-drift chamb’s Forward Scint Shieldin g Tracking: Solenoid,Silicon,Fiber Tracker,Preshowers New Electronics,Trigger,DAQ Calorimeter Central PDTs Large production cross-section All B species, including B s , B c , b B Physics program at DØ benefits from : arge muon acceptance: || < 2 orward tracking coverage: || < 1.7 (tracking), || < 3 (silicon) obust muon trigger A typical oscillation analysis involves: – Selection of final states suitable for the study • Tagging the meson flavor at decay time (final state) • Tagging the meson flavor at production time (initial state) – Proper time reconstruction for each meson candidate Essential ingredients of a mixing analysis B s mixing studies at DØ: X D l B S S The Tevatron B-factory and the new DØ B s oscillates at least 30 times faster than B 0 ! a B s mixing measurement is extremely challenging. We think we understand the mixing of B’s… A deviation from this simple diagram is a deviation from the Standard Model (New Physics) K Theoretical uncertainties reduced in ratio (10% 4%) SM or NP ? TeV 1.96 at 150 ) ( b b b p p 0 at 7 ) ( Z nb b b e e ) 4 ( at 1 ) ( S Y nb b b e e jet charge Decay mode tags b flavor at decay 2 nd B tags production flavor Dilution D = 1 – 2w w = mistag probability = efficiency D 2 = effective tagging power Proper decay time from displacement (L) and momentum (p) 2 / ) ( 2 2 2 ) , ( t m t e B S S N D m S Average statistical significance # of reconstructed events Flavor tagging signal purity proper time resolution Measure asymmetry A as a function of proper decay time t “unmixed”: particle decays as particle For a fixed value of m s , data should yield Amplitude “A” is 1 @ true value of m s Amplitude “A” is 0 otherwise “mixed”: particle decays as antiparticle Units: [m] = h ps -1 , h =1 then m in ps -1 . Multiply by 6.582 x 10 -4 to convert to eV Amplitude method: H-G. Moser, A. Roussarie, NIM A384 p. 491 (1997) m s < 21 ps -1 @ 90% CL assuming Gaussian errors First direct two-sided bound on m s PRL 97, 021802 (2006) Amplitude Scan Log-likelihood Scan New Result: Combination of additional D s decay mode Future Prospects: Add Same Side Tagging, hadronic modes Add more data (4-8 fb -1 in next 3 years) with improved detector – additional layer of silicon between beampipe and Silicon Tracker (Layer0) – better impact parameter resolution µ, e

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Δm

Search for Bs oscillations at D

tbtstd

cbcscd

ubusud

VVV

1)1(

)(21

AλiηρAλ

Aλλλ

iηρAλλλ

Constraining the CKM matrix

8.0 ,22.0 ALarge uncertainty

Precise measurement of Vtd • properly constrain the CKM matrix• yield info on strength of CP-violation

Vtd can be measured via• rare kaon decay • mixing in the B system

) ( 2

QCDVm tdd F but large QCD effects dominate the extraction of Vtd

Neutral B meson transition from particle to anti-particle state, and vice-versa Weak eigenstates mass eigenstatesCaused by higher order flavor changing weak interactions: mq= m(Bo

heavy) - m(Bolight)

mq |VtbVtq|2

Mixing parameters xq= mq/q and yq= q/ q where q=d,s

First oscillations observed at ARGUS (’87) in the Bd system

signaled a large top quark mass (later verified by CDF and DØ)

What is mixing ?

consider ratio from Lattice QCD

1005.0507.0 psmd

md has been precisely measured: the world average is

a direct measurement of ms + md(current value) + Vts(relatively well known) Vtd

Central Scintillator

Forward Mini-drift chamb’s

Forward Scint

Shielding

Tracking: Solenoid,Silicon,Fiber Tracker,Preshowers

New Electronics,Trigger,DAQ

Calorimeter

Central PDTs

Large production cross-sectionAll B species, including Bs, Bc, b

Rich B Physics program at DØ benefits from :• Large muon acceptance: || < 2• Forward tracking coverage: || < 1.7 (tracking), || < 3 (silicon)• Robust muon trigger

A typical oscillation analysis involves:

– Selection of final states suitable for the study

• Tagging the meson flavor at decay time (final state)

• Tagging the meson flavor at production time (initial state)

– Proper time reconstruction for each meson candidate

Essential ingredients of a mixing analysis

Bs mixing studies at DØ: XDlB SS

The Tevatron B-factory and the new DØ

Bs oscillates at least 30 times faster than B0 ! a Bs mixing measurement is extremely challenging.

We think we understand the mixing of B’s… A deviation from this simple diagram is a deviation from the Standard Model (New Physics)

KTheoretical uncertainties reduced in ratio (10% 4%)

SM or NP ?

TeV 1.96at 150)( bbbpp 0at 7)( Znbbbee

)4(at 1)( SYnbbbee

jet charge

Decay modetags b flavorat decay

2nd B tags production flavor

Dilution D = 1 – 2ww = mistag probability = efficiencyD2 = effective tagging power

Proper decay time from displacement (L)and momentum (p)

2/)(2

2),( tmt e

SNDmS

Average statistical significance

# of reconstructed events

Flavor taggingsignal purity

proper time resolution

Measure asymmetry A as a function of proper decay time t

“unmixed”: particle decays as particle

For a fixed value of ms, data should yieldAmplitude “A” is 1 @ true value of ms

Amplitude “A” is 0 otherwise

“mixed”: particle decays as antiparticle

Units: [m] = h ps-1, h =1 then m in ps-1. Multiply by 6.582 x 10-4 to convert to eV

Amplitude method:H-G. Moser, A. Roussarie,NIM A384 p. 491 (1997)

ms < 21 ps-1 @ 90% CL assuming Gaussian errorsFirst direct two-sided bound on ms

PRL 97, 021802 (2006)

Amplitude Scan

Log-likelihood Scan

New Result: Combination of additional Ds decay modes

Future Prospects:

Add Same Side Tagging, hadronic modes

Add more data (4-8 fb-1 in next 3 years) with improved

detector – additional layer of silicon between beampipe

and Silicon Tracker (Layer0) – better impact parameter

resolution

Future Prospects:

Add Same Side Tagging, hadronic modes

Add more data (4-8 fb-1 in next 3 years) with improved

detector – additional layer of silicon between beampipe

and Silicon Tracker (Layer0) – better impact parameter

resolution

µ, e

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