Abstract
AbstractThe standard model leptons can be gauged in an anomaly free way by three possible gauge symmetries namely $${L_e-L_\mu }$$
L
e
-
L
μ
, $${L_e-L_\tau }$$
L
e
-
L
τ
, and $${L_\mu -L_\tau }$$
L
μ
-
L
τ
. Of these, $${L_e-L_\mu }$$
L
e
-
L
μ
and $${L_e-L_\tau }$$
L
e
-
L
τ
forces can mediate between the Sun and the planets and change the perihelion precession of planetary orbits. It is well known that a deviation from the $$1/r^2$$
1
/
r
2
Newtonian force can give rise to a perihelion advancement in the planetary orbit, for instance, as in the well known case of Einstein’s gravity (GR) which was tested from the observation of the perihelion advancement of the Mercury. We consider the long range Yukawa potential which arises between the Sun and the planets if the mass of the gauge boson is $$M_{Z^{\prime }}\le \mathcal {O}(10^{-19})\mathrm {eV}$$
M
Z
′
≤
O
(
10
-
19
)
eV
. We derive the formula of perihelion advancement for Yukawa type fifth force due to the mediation of such $$U(1)_{L_e-L_{\mu ,\tau }}$$
U
(
1
)
L
e
-
L
μ
,
τ
gauge bosons. The perihelion advancement for Yukawa potential is proportional to the square of the semi major axis of the orbit for small $$M_{Z^{\prime }}$$
M
Z
′
, unlike GR where it is largest for the nearest planet. For higher values of $$M_{Z^{\prime }}$$
M
Z
′
, an exponential suppression of the perihelion advancement occurs. We take the observational limits for all planets for which the perihelion advancement is measured and we obtain the upper bound on the gauge boson coupling g for all the planets. The Mars gives the stronger bound on g for the mass range $$\le 10^{-19}\mathrm {eV}$$
≤
10
-
19
eV
and we obtain the exclusion plot. This mass range of gauge boson can be a possible candidate of fuzzy dark matter whose effect can therefore be observed in the precession measurement of the planetary orbits.
Funder
Bundesbehörden der Schweizerischen Eidgenossenschaft
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference46 articles.
1. I. Shapiro, Solar system tests of general relativity: recent results and presentplans, Proceedings of the 12th International Conference on General Relativity and Gravitation, University of Colorado at Boulder, Cambridge University Press, Cambridge, 313-330, (1990)
2. R.S. Park et al., Precession of Mercury’s Perihelion from Ranging to the MESSENGER Spacecraft. Astron. J. 153, 121 (2017)
3. A. Genova et al., Solar system expansion and strong equivalence principle as seen by the NASA MESSENGER mission. Nat. Commun. 9, 289 (2018)
4. L. Iorio, First preliminary tests of the general relativistic gravitomagnetic field of the Sun and new constraints on a Yukawa-like fifth force from planetary data. Planet. Space Sci. 55, 1290 (2007)
5. B. Sun, Z. Cao, L. Shao, Constraints on fifth forces through perihelion precession of planets. Phys. Rev. D 100, 084030 (2019)
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