In this work, we study the effects of the spin-0 unparticle on γγ → γγ process. From the numerical results, we show that the cross section with unparticle effect should be about 10 27 - 10 30 times larger than the one that is confirmed by QED calculation. This could have important implications for unparticle searches and for the measurement of the photon-photon cross section.
Photon-photon scattering is among the most important and carefully studied processes in particle physics [
The γγ u vertex is given by
The spin-0 unparticle propagator is [
where
and
The angular distribution is [
From (4), the total cross section is found to be [
We now turn to the numerical analysis of the total cross sections. The input parameters are
It is to be noticed that in refs. [
Next, in ref. [
with
where
The form factors are given by
with
The important property of
From this, we have found that the effects of the radion can be strong. Interestingly, we have shown that the cross section with radion effect should be about 1020 times larger than the one without radion and unparticle effects. Now, by the results just mentioned we give the numerical values of the ratio of the total cross section with unparticle effects
So, direct computations have showed that the above cross section of (5) should be about 1027 - 1030 times larger than the one in (7).
Finally, we have obtained the ratio of the cross section with unparticle effects
300 | 228.02 | 62.73 | 28.78 | 5.85 | 1.75 |
500 | |||||
800 | |||||
1000 | |||||
3000 |
300 | 31.35 | 8.63 | 3.96 | 0.76 | 0.24 |
500 | 106.85 | 36.03 | 20.30 | 4.83 | 1.86 |
800 | 330.44 | 134.43 | 91.38 | 26.22 | 12.20 |
1000 | 564.49 | 251.10 | 186.61 | 58.54 | 29.78 |
3000 |
300 | 58.31 | 16.04 | 7.36 | 1.43 | 0.45 |
500 | 163.92 | 55.27 | 31.14 | 7.41 | 2.85 |
800 | 246.21 | 100.16 | 68.08 | 19.53 | 9.09 |
1000 | 282.32 | 125.58 | 93.32 | 29.27 | 14.89 |
3000 | 471.01 | 325.12 | 374.94 | 182.52 | 144.03 |
It has already been shown that the total cross section
To conclude, in this letter we have studied the unparticle effects on gamma gamma scattering. From numerical results, we have found that the effects of the unparticle on the cross sections can be very strong. If the measure- ment is carried out at
Trieu QuynhTrang,Ha HuyBang,Nguyen ThuHuong,Sa Thi LanAnh, (2015) On Unparticle Searches through Photon-Photon Scattering. Journal of Modern Physics,06,1798-1802. doi: 10.4236/jmp.2015.613183