Transcript Lecture 3

From Quarks to the Cosmos
Lecture III – Where do we come
from?
The Higgs Field
Where does mass come from?
Acknowledgement: Special thanks to Dr. David Heddle, CNU, for many of the slides!
July 4, 2012
Newspapers around the world herald the
discovery of the Higgs Boson—the so-called
“God Particle” that explains the origin of mass.
Goals for this Lecture
• To give you a hint as to how the Higgs particle
is responsible for mass.
• Short answer: It isn’t—it is the Higgs field that
creates mass, not the recently discovered
Higgs particle—but they are closely related.
Outline
1.
2.
3.
4.
5.
What are fields?
What is mass?
How can a field produce mass?
The discovery
What next?
What is a field?
• Not a field: has a value at one location
• Field: has a value at all locations in space
A Field
Not a Field
Fields are Everywhere
Electric field from
opposite charges
Magnetic field from
a bar magnet
Gravitational
field near the
Earth’s surface
Fields: more fundamental than forces
Charges: Recall that likes repel, opposites attract. If charge 1 is
there and we drop charge 2 in, it feels the force instantly. This is
bad!
I’m
Here!
1
2
Go
Away!
Nothing, not even information, can
travel faster than the speed of light,
so there should be a delay before 2
“feels” the force from 1!
“Action at a
distance”—a
very serious
problem.
Fields solve the “action at a distance”
problem
No action at a distance---the field from charge Q1 is there even
when Q2 is not. Information does not have to make a round trip.
2
1
I feel
nothing!
No
Charge
Don’t know
where it’s coming
from, but I feel a
field pushing me
away!
The field is invisible to objects with no charge.
What is Mass?
A) How much an object weighs?
B) An object’s resistance to acceleration?
B) It is a resistance to acceleration.
From Newton’s 2nd Law:
The bigger the mass, the smaller
the acceleration for the same
force.
The Force of Gravity
A) A great way to measure mass.
B) A lousy way to measure mass.
B) A lousy way. Under gravity alone, an
object’s motion is independent of its mass.
How can a field “make mass”?
Q
+
+
+
+
+
+
+
+
+
+
+
Q
Electric Field
Two identical blocks,
but one has a charge
hidden inside.
This block is easier to
move—it seems to have
has less mass! You could
say the electric field has
reduced its mass!
The Higgs Field
• It is a field that is everywhere in the universe.
• Objects that do not interact with the field are
massless and travel at the speed of light (such
as the photon) They can never slow down.
• The stronger the interaction, the more
massive the particle.
• It’s really the God “field,” not the God particle!
Something like…
The Higgs
field means
the universe
is kind of
like velcro.
Everywhere.
These kind of
particles see the
Higgs field. They
have mass. They
can come to rest.
These kind of
particles don’t see
the Higgs field. They
have no mass. They
must travel at the
speed of light.
Particles and Fields
Excitations in fields are what we call
particles—like pulses in stretched ropes
electron
photon
When an electron accelerates, its
electric field “pulses”, and it shakes off a
photon. This is how radio works.
When the Higgs field pulses, it shakes off a Higgs particle.
The Higgs particle is an artifact of the Higgs field.
The actual math, in case you want to
work it out before the next class
Discovery of the Higgs Particle
• The Higgs particle has a mass of about 130 ×
the proton mass.
• It takes a huge amount of energy to create
one—which is why we need a massive particle
accelerator.
• You will also make lots and lots
of other particles—it’s worse
than a needle in a haystack
Large Hadron Collider
• Collides
proton beams
at 12 trillion
electron volts
• The most
complicated
machine ever
built
Size of the LHC (17 mi diameter)
Compare to the 1st Accelerator
The Cyclotron,
1932 (about 4
inches in
diameter)
Civic Pride! Jefferson Lab in Newport News
LHC
Jefferson Lab
4,000,000,000, 000 eV
12, 000,000,000 ev
But… The LHC accelerates protons,
J-lab accelerates electrons, 2000 times
lighter, so the LHC needs higher energy
electron
proton
About a 1 mile circumference
LHC proton speed
J-Lab electron speed
0.99999997 × speed of light
0.999999999 × speed of light
J- Lab accelerates particles closer to the speed of light! We win!
So – how do you see the Higgs?
p
Higgs
Outgoing
particles
p
Particle
detectors
p
Not Higgs
p
Same
outgoing
particles
Particle
detectors
Protons collide, produce Higgs (with very low probability) but
mostly produce other stuff—and detectors measure the
outgoing particles.
How are particles detected and identified?
“Calorimeter” stops
particles and records
their energy
Magnetic field bends the
particles path. Curvature
give the particle’s speed
×
Outgoing particle
leaves “hits” in the
tracking detector
p
p
So:
“tracking” gives
speed,
“calorimetry” gives
energy
Einstein told us how
to use this to
determine mass, and
hence what particle is
produced
What it really looks like
What we really see
These
bumps in
the data
are the
signatures
of the
Higgs
particle!
The Announcement
On July 4th 2012, scientists announced that two
independent experiments have seen the signature
of the Higgs particle, to a confidence of “5 sigma.”
That means: less than 1 in a million chance that we
are not really seeing the Higgs.
Confidence
Probability of Error
1 Sigma
0.32
2 Sigma
0.046
3 Sigma
0.0027
4 Sigma
0.000063
5 Sigma
0.00000057
What’s Next?
• The discovery of the Higgs was 50 years in the
making!
• There are still great mysteries in physics,
including
– Dark Matter (what is it?)
– Dark Energy (the universe is expanding faster and
faster! Is it because of dark energy?)
• We know virtually nothing about 94% of the
universe (dark matter and energy).
• Next class, we will talk about all this!!!