New paper, may contain a solution to the NuTeV anomaly
- From: "Jay R. Yablon" <jyablon@xxxxxxxxxxxx>
- Date: Fri, 23 Sep 2005 19:56:23 +0000 (UTC)
Hello to all:
I am pleased to announce that my newest paper, "Magnetic Monopoles,
Chiral Symmetries, and the NuTeV Anomaly," has now been published at
http://arxiv.org/abs/hep-ph/0509223.
This paper is a follow up to my earlier publication at
http://arxiv.org/abs/hep-ph/0508257, and takes a closer look at the
magnetic monopoles themselves as fermionic particles. I have reported
interim progress along the way on the sci.+ boards; now you can see the
full picture.
This paper calculates widths and cross sections associated with the
predicted magnetic charge, and determines that there is a very slight
cross-section enhancement at sqrt(s) = M_z ~ 91 GeV due to magnetic
monopoles.
If one were to do experiments and NOT understand the magnetic monopole
origin of this small cross section enhancement, one might instead
conclude that the weak mixing angle had decreased for e/ebar scattering,
in relation to neutino/neutrino-bar scattering, by a small amount. How
small? This paper predicts a reduction of approximately .003, which is
right near the magnitude of the NuTeV anomaly and goes in the right
direction as well.
Fundamentally, the NuTeV anomaly is thus seen to be the first
experimental evidence of the existence of the magnetic monopole charges,
which have been a mystery ever since Maxwell's era.
Also, some fundamental connections are drawn between the magnetic /
electric symmetries, and chiral symmetries.
If you want the quick tour, look at equations (9.12) to (9.15) which
contain the final numeric results. Then look at (8.16) through (8.20)
which shows these same results represented in term of the cross section
enhancements from which they were derived.
If you are doing NuTeV experiments, and even if not, look at (7.34) to
(7.44), which show the full and differential cross sections in the most
general form. This should help you with the NuTeV anomaly even if you
don't believe as I do that the magnetic monopole charge at least
contributes to this anomaly. Because these equations tell you how a
vector boson (call it the Z^u' if you wish) with mass > M_z would
enhance the cross section generally, whether the origin of that vector
boson is from magnetic monopoles or somewhere else. So, these give you
a theoretical framework to fit the data under a variety of assumptions
that you may wish to make.
If you assume two or more massive bosons with mass > M_z, then there
will be further cross section terms for each new vector boson, as well
as further cross terms between pairs of vector bosons, the form of which
can readily be understood and deduced from (7.34) to (7.44). My own
suspicion is that there is also an electroweak-based Z^u' in the 1.3 TeV
range in addition to the M^u which mediates the magnetic monopole
interaction here. This will require extending the entire electroweak
theory to consider weak and weak hypercharge magnetic monopoles, and may
well be the subject of my next paper.
Once the cross section enhancement is known under whatever scenario one
may assume, the apparent impact on sin^2 theta_w can be deduced
following the steps shown in section 9. So, there is some good grist
here for the NuTeV folks. And for anyone who is interested in
understanding magnetic monopoles and chiral symmetries.
I also suggest a look at the conclusion.
>From there, look at whatever you want.
Happy reading.
Jay.
_____________________________
Jay R. Yablon
Email: jyablon@xxxxxxxxxxxx
.
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