molecules would not have originated, and the Universe would be completely busy
with pervasive annihilation and pair production processes. Instead, the annihilation
is expected to be limited to doma ins that exclude regions where we observe matter.
Annihilations produce a diffuse gamma ray background. Since physicists know
the annihilation rates and can measure the distance of the regions that have this
background radiation, one can determine the volume of these domains and the
matter–antimatter imbalance. Currently, the estimate of the sum of the size of these
domains is very close to the size of the Universe, showing that the matter–an-
timatter imbalance must indeed be small. (Recent Fermilab experiments show that
this imbalance might be much higher than expected – as much as 1%, while
previous estimates indicated 0.001%.)
In 1967, Andrei Sakharaov proposed that matter–antimatter imbalance can arise
out of (a) non-conservation of baryon (neutrons and protons) numbers in order to
give rise to baryon–antibaryon imbalance, (b) high rate of CP (combined Charge
Conjugation and parity) conservation violation (see Chap. 11), and (c) nonequilib-
rium thermodynamics. Of these, D. Toussaint, S. B. Treiman, and Frank Wilczek
[Phys Rev D, p. 1036 (1979)] show that nonequilibrium thermodynamics during
Universal expansion would cause the baryon conservation to be violated, and
therefore (c) would be needed to cause (a). Th e so-called Hawking Radiation
from black holes (see below) would be involved in such a process. Currently,
there is no evidence for nonconservation of baryons.
Matter–antimatter imbalance can be examined by more accurate observation of
CP violation. Currently, the Standard Model does not have the mechanism to bind
the observed range of CP violation which is consistent with the amount of antimat-
ter in the Universe. The Quantum Chromodynamic theory in the SM would give no
CP violation. This is inconsistent, because this lack of CP violation is accompanied
by a prediction of neutron dipole moment which is trillion times larger than the
observed value. If the SM is modified with additional postulates , such as axion
particles, two time dimensions, etc., this would give massive CP violation. The
weak interaction component of the SM, consistent with the observed rate of CP
violation, can currently only account for CP violation in an amount of matter in just
one galaxy. Given the state of the theory, it is clear that we need more accurate
experimental data to pin down the amount of CP violation in nature.
The LHC would be a powerful “B” factory producing a large number of B-
mesons (containing b – bottom or beauty – quark) which can decay through a large
number of weak interaction paths that can exhibit the CP violation (anisotropic
emission of particles in a decay with charge conjugation). Therefore, the
matter–antimatter imbalance can be estimated from LHC experiments that lead to
a much clearer est imate of the CP violation.
In this experiment, one would measure the rate of a neutral B meson decay into
A+ and A particles (where A are decay particles and the sign refers to their
electric charge) and compare this with the rate of decay of anti-B (B-meson and B-
bar are produced at the same rate). If Bbar decays faster, then it can account for the
antimatter imbalance. Since B-mesons live only for a trillionth of a second, one
At the Threshold 207