A Study of the Decay $\tau^-\to\pi^-\nu_\tau$

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the Mark II detector at the SLAC e+e- storage ring SPEAR. We have used events from the center-of-mass energy region 3.52 to 6.7 GeV to determine that B(Tr + ...
SLAC-PUB-2820 LBL-13413 September 1981

T/E A STUDY OF THE DECAY -c-+ ~T-u~*

C. A. W. W. G. G. R. A. M. J. D. J. G. J.

A. Blocker: J, M. Dorfan, G. S. Abrams, M. S. Alam,? M. Breidenbach, D. L. Burke, Blondel, §A. M. Boyarski, M. W. Coles,f+ S. Cooper,J‘t C. Carithers, W. Chinowsky, J. Dorenbosch,f M. W. Eaton, E. Dieterle, J. B. Dillon, J. Feldman, M. E. B. Franklin, G. Gidal, G. Goldhaber, D. G. Hitlin,Sf Hanson, K. G. Hayes,+ T. Himel,* P. Jenni,? J. Hollebeek, W. R. Innes, J. A. Jaros, R, R. Larsen, D. Johnson, J. A. Kadyk, A. J. Lankford, V. Li;th, R. E. Millikan, M. E. Nelson, C. Y. Pang, Levi,t F. Patrick, M. L. Per-l, B. Richter, A. Roussarie, R. F. Schwitters,q R. H. Schindler,? L. Scharre, L. Siegrist, J. Strait, H. Taureg,? M. Tonutti,(IB E. N. Vella, R. A. Vidal, I. Videau,§ H. Trilling, M. Weiss and H. Zaccone.§§ Lawrence Berkeley Laboratory and Department of Physics University of California, Berkeley, CA. 94720 and Stanford Linear Accelerator Center Stanford University, Stanford, CA. 94305 ABSTRACT We present

ing

ratio

for

the Mark II have used to

6.7

a high the

at the

from

the

GeV to determine

From electron-muon that

We present

measurements

mass of dronic

the decay

mode of

in the

of

the

for

branch-

ring

with SPEAR.

region

We

3.52

= 0.117~0.004~0.018.

same data

the

the

obtained

energy

+ n-vT)

-t

of

storage

e-;,v,)

the mass and spin

based,

(Submitted * Work supported 76SF00515 and

B(Tr

+ n-~~)/B(r-

T neutrino

data

center-of-mass

events B(T-

SLAC e+e-

that

determined

measurement

T- +lTv - Tt using

decay

detector events

statistics

first

sample,

we have

= 0.66'0.03'0.11. of the time,

'c and the

on a ha-

T. to Physics

by the Department W-7405-ENG-48.

of

Letters

B)

Energy,

contracts

DE-AC03-

-2-

All

of

measured

the

properties

to date

are

the

T as a sequential

the

decay

weak axial

vector

measurement coupling

If

to the

hadronic

We present

here

via

from is

corresponds

a measurement

measurements the

of

T neutrino All

58,600 the based

aspects

measurement summarize

of the

here

Charged

particles

by the

16 layers

the

of

the

where second side tillation Next

the

reflects

drift

chambers

counters comes the

the

detector

having

solenoidal

GeV

present

T and the mass of

pertinent

to (3)

elsewhere.

over

85% of

the

constrained

spatial

coil

angle chambers.

to the (p in

inter-

GeV/c)

and the resolution.

48 time-of-flight

a 300 picosecond

analysis.

solid

drift

this We

to this

cylindrical

200 micron

magnet

to 6.7

We also

relevant

tracks

are

detector

3.52

(O.OOSp)' is @ = ,/(0.0145)2+ P first term is from multiple-scattering

term

T'S

luminosity

vertex the

the

ratio

Mark II

from

the

A

IT-V~ decay mode.

central, for

the

pairs.

discussed

detected

The momentum resolution action

branching

characteristics are

of

of the

r'~-

Mark II

e-;,vT) c21

test

The integrated

'I- +

have been fully

-f

current.

with

correct,

hadronic

vector

and mass of

on the

of

is

standard

energies

produced spin

hypothesis the

weak axial

at center-of-mass to

interpretation

an unambiguous

-f r-v- T ) based on data taken at the e+e- storage ring SPEAR. 21000 rib-l

have been

known parameters.

B(=-

of

that

-+ n-vr)/B(~-

and B(T-

ratio

the

this

proceeds

calculated

of this

T lepton

with

lepton.

current

can be explicitly

the

consistent

~-v~ (1)

T- +

of

out -

(TOF) -scintiming

providing

resolution. a uniform

field

of

liquid

4.1

kilogauss.

argon

The energy

shower

20% at

shower

100 MeV.

are eight

65% of the

lead-

solid

angle.

and the photon greater

than

Outside

the

of

layers

tubes.

of

95% above shower

iron

One end of

a lead-proportional

counters

separated

the

detector

chamber

endcap

counter. Charged

were not

pions

according

(3) were

not

than

according

the

to

2.1

GeV/c).

able

from

TOF system

700 MeV/c,

from

that

radiative

For momenta above 90%, and the than

4%.

the

particles

the

range

for

identifying

Bhabha events

electron

(relevant

the

pion

for

protons

particle

than

be distinguishmomenta below

threshold

as a pion

counters,

momenta less

with

$ and Kz decays.

700 MeV/c,

shower

and (4) were not for

(1)

(2) were not

TOF system

(relevant

an electron from

which

argon

the

all

The efficiency

misidentifying

iess

to

GeV/c),

a muon rejects

known pions

82% to

lead-liquid

according 1.3

as particles

to the muon system,

The requirement

approximately fication.

identified

to the

kaons

momenta less

electrons

were

muons according

electrons

is

from

consisting

with

coil

12%//m,

of proportional

instrumented

the

covering

ranges

the muon system

by layers

with

is

efficiency

500 MeV down to

is

counters

resolution

detection

is

Outside

for

muon identi-

pions

was measured

The probability was measured

with

of known

and gamma conversions. efficiency

misidentification

ranges probability

from

-4-

Events exactly

were

the

of

if

exactly

had a charged

charged

two charged

low multiplicities

reduces

they

oppositely

one other,

requirement of

selected

contamination

from

particle

of

hadronic

and The

(X).

particles

typical

pion

takes

T events

advantage

and dramatically To reduce

events,

back-

ground from events involving neutrals, particularly the decay any event having a photon T +- pv T -t IT-ITOVT s we rejected with energy above 100 MeV. Photons less than 36 cm from a charged

particle,

ignored

because

To minimize event the

measured

identified

is

angles

the

There criteria.

given

two charged

were

in Table

two produced satisfying the ability of the

particle,

particles

had the

of missing

a particle (4)

the

the of

from mis-

we accepted

only

events

The acoplanarity

20°, difference

in

satisfying

from

the were

The estimated

same criteria

two particles

that

beam direction,,

particles

The feed-down

charged

problems.

backgrounds

the

both

twice.

1.

the

is

were

azimuthal

particles.

in which

counted

the

than

2150 or+ Xi events

Events

as IT'S were

A$

module,

we required

events,

greater

- A$ where

180'

of

angle

argon

recognition

To reduce

and p-pair

acoplanarity

angle

pattern

10 cm, along

point.

Bhabha

liquid

contamination,

be within

beam crossing

with

potential

af

beam-gas

vertex

at the

events

more than events

IT-+ X-s events

except

Assuming

was independent to

with

are

with

same charge,

feed-down

identified

backgrounds

was measured as the

above

of

rrr+ XT events

that

the

prob-

the

charge

was twice (5)

-5-

the

number

of

calculated

from

the

interaction

of

Carlo

backgrounds

are

in

the

program.

with

from

were

of uncertainties

The net

of

number

of

in

in

the

the

calculated

The errors

program.

simulation

was

a vertex

beam direction,

backgrounds

a combination

1138+46z174(63

these

the models

detector

by the

T+ Xi events

was

events.

The number (NaX) is

the

simulation

and uncertainties Carlo

of Xz events

The other

point.

a Monte

Monte

number

15 and 25 cm, along

between

from

The beam gas background

T+ X+ events,

of

related

TX events

to the

after

background

branching

ratio

subtraction

(B,)

for

T- -+ TT-V~

bY i Li 7r ci 5 ‘CT

N TX =2B where

the

and the

first

second

The quantity duction is

sum (index sum (index

for other

T decays

decay

modes includes equation

creation

of

over

integrated mode j,

a ITX event via

decay

decay

the spurious

and ~~j is

Bj

the

was easily

efficiencies “photons!

the

sum over

Equation

T-v~,

Carlo

to rVT

The branching Since

II.

by a Monte

pro-

when one T decays

‘c- +

which

-r-pair

‘c.

luminosity,

mode j,

shown in Table

energies

decay modes of the corrected

the

to decay

the

center-of-mass

is over

is

in Br,

E 1) s were determined d necessary to correct

is

radiatively

detecting

assumed are

to the

j)

Li

ratio

ratios

quadratic

the

section,

the branching

and the

is

o T-r i

cross

efficiency

i)

c B. ~~ j J rj

solved

loss

by the

is

a

once the It

program, for

(1)

of pattern

was events

due

recog-

-6-

nition

program

energy

and electronic

in

events

charged

from

with

same topology

particles

and no real Bhabha

-t v+la,

After

a 3% correction all

photons,

giving

the

radiative 5% for

errors

muon-pion

(l),

the

have measured sample

events

having

of

events

5% for

agreed

radia-

within

l%,

efficiencies (6)

systematic

error

some of

the

ratio

B(T-

for

the

an electron

the

system,

and no other

particles.

photon

branching

ratios

are propagated

through

on B(T-+

is

~-v~)

errors,such +

ratio

muon identified were

to come from

Gev

T ) , we the same

We selected

by the

There

15%.

as the

from

-c- + 71-~T analysis.

charged

state

spurious

in

branching

an oppositely

estimated

initial

-t ~-v~)/B(1-

identified

subtraction,

separation,

the

systematic

the ~leptonic

(2)

background

5% for

uncertainties errors

St3 were

the

1% for

When these

used

rays.

real,

yielding

electron-pion

separation,

net

for

The average

6%.

15% for

are

system,

of which

of

and cosmic

events

measurement,

in the

luminosity,

the types

and 5% for

To reduce

data

Bhabha

corrections,

jFT BjE?rlj .

Eq.

of

p-pairs

namely

+ e+e*),

(two

-+ IT-VT) = 0.117f0.004f0.018.

luminosity

correction, in

(e+e"

was measured

TX events

= 0,0654 and j3;:Tr B.E J TJ B(c-

6% for

as the photons),

correction

EITIT = 0.154

The systematic

deposited

correction

events

three

an average

were

of real

This

noise.

the

(e+e-

tive

a combination

liquid

argon

by the muon 294 e+,,g events

charm production,

-7-

30+7 from

other This

production, The average

and 2fl

T decays, gives

a net

efficiency

for

from multiprong

signal

detecting

of

257f17:8

eu

events

hadronic e+$

events,

was 0.071,

giving B(T-

e";,v,)

+

The systematic

error

6% for

rature: to the

the

-r-pair

B(r-

-f

value

This

is

B(-c- +

spurious

0.973,

in

of

0.58

following

added

radiative

section,

-t e-;ev.c)

is

the

efficiency

5% for

subtraction, Assuming

correction.

equal

in quad-

corrections

3% for

background

(3)

to the

muon and 1%

that theoretical

(2)

we have B(=-

-f

e-ievT)

= 0.176+0.006+0.010

B(T-

+-

P--G&)

= 0.171+0.006f0.010

excellent

agreement

= 0.170f0.011

e-ievT)

Equations

NTis

the

identification,

the

photon

Combining

This

electron

JA-;~v$'B(~of

cross

3% for

= 0.030~0.002~0.004,

5% for

luminosity,

5% for

identification, the

comes from

production

calculation,

for

B(=+ -+ p+vuGr)

(2)

-t 71-VT)/B(T-

with

the

and B(Tand (4)

with

and with

measurements

PLUTO (0.51f0.17),

previous

the

(4)

average C7) of

+- ~l-