This is the first plot showing the predicted bottom-quark forward-backward asymmetry (in percentage) plotted against the energy (in GeV units) of the bottom quark-antiquark pair produced in the proton-antiproton collision at the Tevatron. Orange is the prediction of the Standard Model. The other colors correspond to predictions from proposed extensions of the Standard Model that add a new particle called an “axigluon,” which was proposed to explain the anomaly in the observed top-quark forward-backward asymmetry. The different colors correspond to different parameters assumed for the axigluon (the parameters are the mass of the axigluon, MG, and the strength of the interaction of the axigluon with the top quark, g). The blue plot deviates strongly from the orange, so experiments should be able to tell the difference. The other colors do not deviate that much from the orange, so more work or a different method would be needed if the axigluon has parameters like those (but the blue line is for parameters that best explain the top-quark case). Credit: Grinstein and Murphy. ©2013 American Physical Society

(Phys.org) —While scientists have become increasingly convinced that the Standard Model of particle physics is incomplete, it's still unclear exactly how the Standard Model needs to be extended. Experiments have shown that the Standard Model cannot explain certain top quark observations, but a variety of extensions of the Standard Model have been proposed to explain them, and it's unclear which extension is correct. In a new paper published in Physical Review Letters, physicists Benjamín Grinstein and Christopher W. Murphy at the University of California, San Diego, have explained how upcoming data on the bottom quark can be used to distinguish between competing new physics explanations of unexpected top quark data.

"There has been much excitement the last couple of years precipitated by reports by the two experimental collaborations working at the Tevatron (at Fermilab, outside Chicago) that a much larger-than-expected top-quark forward-backward asymmetry is seen," Grinstein told Phys.org. "Several models have been proposed to explain this unexpected result. Our paper suggests a way to distinguish among the various models that have been proposed, since these models give very different bottom-quark forward-backward asymmetries. When a sufficiently precise measurement of the bottom-quark forward-backward asymmetry is performed, we will be able to narrow down significantly the new physics that the Tevatron experiments seem to have uncovered.

"But perhaps more importantly, observations of the bottom-quark forward-backward asymmetry in disagreement with expectations from the Standard Model, when put together with the top-quark forward-backward asymmetry, would demonstrate fairly conclusively that there is new physics in the form of new particles and interactions not included in the Standard Model, and would point the way toward its direct experimental confirmation. So, as you can see, this would go to the heart of the question in particle physics."

As the physicists explain, a quark's forward-backward asymmetry refers to the likelihood that the quark is moving in the forward or backward direction after it is produced in a proton-antiproton collision.

"The Tevatron is a large circular particle accelerator in which protons and antiprotons travel in opposite directions," Murphy said. "The direction of travel of a proton at the point it collides with an antiproton is called the 'forward' direction. Often a b-quark and an anti-b-quark are produced as a result of the proton-antiproton collision. There are several ways to define a 'bottom-quark forward-backward asymmetry,' but they all are a measure of how more (or less) likely it is for the produced b-quark to be moving preferentially in the forward direction. For example, one may count the number of collisions with a forward-moving b-quark, subtract the number of collisions with a backwards-moving b-quark, and divide this by the total number of collisions that produce b-quarks. It should be noted that the asymmetry is not just a single number because it can be determined for various values of the energies of the produced b-quarks. So in fact the asymmetry is a function of the energy of the b-quarks."

This is the second plot showing the predicted bottom-quark forward-backward asymmetry (in percentage) plotted against the energy (in GeV units) of the bottom quark-antiquark pair produced in the proton-antiproton collision at the Tevatron. Again, orange is the prediction of the Standard Model. Now the other colors are for a model of "scalar weak doublets." The particles in this model are also characterized by two parameters: a mass and an interaction strength. Interestingly, on the bin that includes the Z-boson, the sign of the asymmetry is reversed for the scalar weak doublets model. The effect is large enough that the experiment should easily distinguish the new physics, if present. Credit: Grinstein and Murphy. ©2013 American Physical Society

If new physics is involved, as the physicists expect, then the bottom-quark forward-backward asymmetry might be larger than predicted by the Standard Model, or the asymmetry may even be reversed.

"The Standard Model of electroweak and strong interactions predicts a very small bottom-quark forward-backward asymmetry at the Tevatron, of the order of a few percent," Grinstein said. "What we have shown in our work is that new physics can change this number dramatically. One of the interesting features we discovered is that when the energy of the b-quark and b-antiquark sum to the rest energy of the Z-boson (one of the particles responsible for weak interactions), the asymmetry is enhanced. We furthermore showed that, at this particular energy, the effects of new physics can be greatly amplified. For example, in one popular class of models the sign of the asymmetry is reversed, relative to that predicted by the Standard Model, in the energy region corresponding to the Z-boson's rest energy."

The plots in the physicists' paper tell a more detailed story of the possibilities for new physics. The two plots included here show the predicted bottom-quark forward-backward asymmetry (in percentage) plotted against the energy (in GeV units) of the bottom quark-antiquark pair produced in the proton-antiproton collision at the Tevatron.

In both plots, the orange line represents the Standard Model prediction, while the other colors correspond to predictions from proposed extensions of the Standard Model. The plots are not continuous, but instead they are bar graphs in which the quark pairs of energies in given "bins" are collected together. The black vertical bars indicate what the CDF experiment at Fermilab predicts as its sensitivity, meaning they will be able to distinguish between colored lines that are separated by more than the size of the black bar.

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More information: Benjamín Grinstein and Christopher W. Murphy. "Bottom-Quark Forward-Backward Asymmetry in the Standard Model and Beyond." PRL 111, 062003 (2013). Journal information: Physical Review Letters Benjamín Grinstein and Christopher W. Murphy. "Bottom-Quark Forward-Backward Asymmetry in the Standard Model and Beyond."111, 062003 (2013). DOI: 10.1103/PhysRevLett.111.062003

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