Abstract
In this article, I have studied the cosmological and particle physics constraints on a generic class of large field (|Δϕ| > M p ) and small field (|Δϕ| < M p ) models of brane inflationary magnetic field from: (1) tensor-to-scalar ratio (r), (2) reheating, (3) leptogenesis and (4) baryogenesis in case of Randall-Sundrum single braneworld gravity (RSII) framework. I also establish a direct connection between the magnetic field at the present epoch (B 0) and primordial gravity waves (r), which give a precise estimate of non-vanishing CP asymmetry (ϵ CP) in leptogenesis and baryon asymmetry (η B ) in baryogenesis scenario respectively. Further assuming the conformal invariance to be restored after inflation in the framework of RSII, I have explicitly shown that the requirement of the sub-dominant feature of large scale coherent magnetic field after inflation gives two fold non-trivial characteristic constraints- on equation of state parameter (w) and the corresponding energy scale during reheating (ρ 1/4 rh ) epoch. Hence giving the proposal for avoiding the contribution of back-reaction from the magnetic field I have established a bound on the generic reheating characteristic parameter (R rh ) and its rescaled version (R sc ), to achieve large scale magnetic field within the prescribed setup and further apply the CMB constraints as obtained from recently observed Planck 2015 data and Planck+BICEP2+Keck Array joint constraints. Using all these derived results I have shown that it is possible to put further stringent constraints on various classes of large and small field inflationary models to break the degeneracy between various cosmological parameters within the framework of RSII. Finally, I have studied the consequences from two specific models of brane inflation-monomial and hilltop, after applying the constraints obtained from inflation and primordial magnetic field.
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References
K.T. Chyzy and R. Beck, Magnetic fields in merging spirals — The antennae, Astron. Astrophys. 417 (2004) 541 [astro-ph/0401157] [INSPIRE].
C. Vogt and T.A. Ensslin, Measuring the cluster magnetic field power spectra from Faraday rotation maps of Abell 400, Abell 2634 and Hydra A, Astron. Astrophys. 412 (2003) 373 [astro-ph/0309441] [INSPIRE].
D. Grasso and H.R. Rubinstein, Magnetic fields in the early universe, Phys. Rept. 348 (2001) 163 [astro-ph/0009061] [INSPIRE].
M. Giovannini, The magnetized universe, Int. J. Mod. Phys. D 13 (2004) 391 [astro-ph/0312614] [INSPIRE].
A. Kandus, K.E. Kunze and C.G. Tsagas, Primordial magnetogenesis, Phys. Rept. 505 (2011) 1 [arXiv:1007.3891] [INSPIRE].
R. Durrer and A. Neronov, Cosmological magnetic fields: their generation, evolution and observation, Astron. Astrophys. Rev. 21 (2013) 62 [arXiv:1303.7121] [INSPIRE].
W. Essey, S. Ando and A. Kusenko, Determination of intergalactic magnetic fields from gamma ray data, Astropart. Phys. 35 (2011) 135 [arXiv:1012.5313] [INSPIRE].
P.P. Kronberg, Extragalactic magnetic fields, Rept. Prog. Phys. 57 (1994) 325 [INSPIRE].
T. Kahniashvili, A.G. Tevzadze, S.K. Sethi, K. Pandey and B. Ratra, Primordial magnetic field limits from cosmological data, Phys. Rev. D 82 (2010) 083005 [arXiv:1009.2094] [INSPIRE].
F. Tavecchio, G. Ghisellini, L. Foschini, G. Bonnoli, G. Ghirlanda and P. Coppi, The intergalactic magnetic field constrained by Fermi/LAT observations of the TeV blazar 1ES 0229+200, Mon. Not. Roy. Astron. Soc. 406 (2010) L70 [arXiv:1004.1329] [INSPIRE].
A. Neronov and I. Vovk, Evidence for strong extragalactic magnetic fields from Fermi observations of TeV blazars, Science 328 (2010) 73 [arXiv:1006.3504] [INSPIRE].
K. Dolag, M. Kachelriess, S. Ostapchenko and R. Tomas, Lower limit on the strength and filling factor of extragalactic magnetic fields, Astrophys. J. 727 (2011) L4 [arXiv:1009.1782] [INSPIRE].
M.S. Turner and L.M. Widrow, Inflation produced, large scale magnetic fields, Phys. Rev. D 37 (1988) 2743 [INSPIRE].
B. Ratra, Cosmological ‘seed’ magnetic field from inflation, Astrophys. J. 391 (1992) L1 [INSPIRE].
A. Dolgov and J. Silk, Electric charge asymmetry of the universe and magnetic field generation, Phys. Rev. D 47 (1993) 3144 [INSPIRE].
A. Dolgov, Breaking of conformal invariance and electromagnetic field generation in the universe, Phys. Rev. D 48 (1993) 2499 [hep-ph/9301280] [INSPIRE].
B. Ratra and P.J.E. Peebles, Inflation in an open universe, Phys. Rev. D 52 (1995) 1837 [INSPIRE].
O. Tornkvist, A.-C. Davis, K. Dimopoulos and T. Prokopec, Large scale primordial magnetic fields from inflation and preheating, astro-ph/0011278 [INSPIRE].
K. Subramanian, The origin, evolution and signatures of primordial magnetic fields, arXiv:1504.02311 [INSPIRE].
K. Atmjeet, I. Pahwa, T. Seshadri and K. Subramanian, Cosmological magnetogenesis from extra-dimensional Gauss Bonnet gravity, Phys. Rev. D 89 (2014) 063002 [arXiv:1312.5815] [INSPIRE].
K. Atmjeet, T.R. Seshadri and K. Subramanian, Helical cosmological magnetic fields from extra-dimensions, Phys. Rev. D 91 (2015) 103006 [arXiv:1409.6840] [INSPIRE].
K. Subramanian, Magnetic fields in the early universe, Astron. Nachr. 331 (2010) 110 [arXiv:0911.4771] [INSPIRE].
C.T. Byrnes, L. Hollenstein, R.K. Jain and F.R. Urban, Resonant magnetic fields from inflation, JCAP 03 (2012) 009 [arXiv:1111.2030] [INSPIRE].
R.J.Z. Ferreira, R.K. Jain and M.S. Sloth, Inflationary magnetogenesis without the strong coupling problem, JCAP 10 (2013) 004 [arXiv:1305.7151] [INSPIRE].
R.J.Z. Ferreira, R.K. Jain and M.S. Sloth, Inflationary magnetogenesis without the strong coupling problem II: constraints from CMB anisotropies and B-modes, JCAP 06 (2014) 053 [arXiv:1403.5516] [INSPIRE].
R.K. Jain and M.S. Sloth, Consistency relation for cosmic magnetic fields, Phys. Rev. D 86 (2012) 123528 [arXiv:1207.4187] [INSPIRE].
S. Kanno, J. Soda and M.-a. Watanabe, Cosmological magnetic fields from inflation and backreaction, JCAP 12 (2009) 009 [arXiv:0908.3509] [INSPIRE].
L. Randall and R. Sundrum, A Large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064] [INSPIRE].
S. Choudhury and S. Pal, Brane inflation in background supergravity, Phys. Rev. D 85 (2012) 043529 [arXiv:1102.4206] [INSPIRE].
S. Choudhury and S. Pal, Reheating and leptogenesis in a SUGRA inspired brane inflation, Nucl. Phys. B 857 (2012) 85 [arXiv:1108.5676] [INSPIRE].
S. Choudhury and S. Pal, Brane inflation: a field theory approach in background supergravity, J. Phys. Conf. Ser. 405 (2012) 012009 [arXiv:1209.5883] [INSPIRE].
S. Choudhury, Can effective field theory of inflation generate large tensor-to-scalar ratio within Randall-Sundrum single braneworld?, Nucl. Phys. B 894 (2015) 29 [arXiv:1406.7618] [INSPIRE].
S. Choudhury and S. Sengupta, Features of warped geometry in presence of Gauss-Bonnet coupling, JHEP 02 (2013) 136 [arXiv:1301.0918] [INSPIRE].
S. Choudhury and S. SenGupta, A step toward exploring the features of Gravidilaton sector in Randall-Sundrum scenario via lightest Kaluza-Klein graviton mass, Eur. Phys. J. C 74 (2014) 3159 [arXiv:1311.0730] [INSPIRE].
S. Choudhury, S. Sadhukhan and S. SenGupta, Collider constraints on Gauss-Bonnet coupling in warped geometry model, arXiv:1308.1477 [INSPIRE].
S. Choudhury, J. Mitra and S. SenGupta, Modulus stabilization in higher curvature dilaton gravity, JHEP 08 (2014) 004 [arXiv:1405.6826] [INSPIRE].
S. Choudhury, J. Mitra and S. SenGupta, Fermion localization and flavour hierarchy in higher curvature spacetime, arXiv:1503.07287 [INSPIRE].
Y. Himemoto and M. Sasaki, Brane world inflation without inflaton on the brane, Phys. Rev. D 63 (2001) 044015 [gr-qc/0010035] [INSPIRE].
B. Mukhopadhyaya, S. Sen and S. SenGupta, Does a Randall-Sundrum scenario create the illusion of a torsion free universe?, Phys. Rev. Lett. 89 (2002) 121101 [Erratum ibid. 89 (2002) 259902] [hep-th/0204242] [INSPIRE].
R. Maartens and K. Koyama, Brane-world gravity, Living Rev. Rel. 13 (2010) 5 [arXiv:1004.3962] [INSPIRE].
P. Brax, C. van de Bruck and A.-C. Davis, Brane world cosmology, Rept. Prog. Phys. 67 (2004) 2183 [hep-th/0404011] [INSPIRE].
C.S. Fong, E. Nardi and A. Riotto, Leptogenesis in the universe, Adv. High Energy Phys. 2012 (2012) 158303 [arXiv:1301.3062] [INSPIRE].
S. Davidson, E. Nardi and Y. Nir, Leptogenesis, Phys. Rept. 466 (2008) 105 [arXiv:0802.2962] [INSPIRE].
W. Buchmüller, R.D. Peccei and T. Yanagida, Leptogenesis as the origin of matter, Ann. Rev. Nucl. Part. Sci. 55 (2005) 311 [hep-ph/0502169] [INSPIRE].
D.E. Morrissey and M.J. Ramsey-Musolf, Electroweak baryogenesis, New J. Phys. 14 (2012) 125003 [arXiv:1206.2942] [INSPIRE].
M. Trodden, Electroweak baryogenesis, Rev. Mod. Phys. 71 (1999) 1463 [hep-ph/9803479] [INSPIRE].
J.M. Cline, Baryogenesis, hep-ph/0609145 [INSPIRE].
R. Allahverdi and A. Mazumdar, A mini review on Affleck-Dine baryogenesis, New J. Phys. 14 (2012) 125013 [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XIX. Constraints on primordial magnetic fields, arXiv:1502.01594 [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XIII. Cosmological parameters, arXiv:1502.01589 [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XX. Constraints on inflation, arXiv:1502.02114 [INSPIRE].
BICEP2, Planck collaboration, P. Ade et al., Joint analysis of BICEP2/Keck Array and Planck data, Phys. Rev. Lett. 114 (2015) 101301 [arXiv:1502.00612] [INSPIRE].
M. Shiraishi, D. Nitta, S. Yokoyama, K. Ichiki and K. Takahashi, CMB bispectrum from primordial scalar, vector and tensor non-gaussianities, Prog. Theor. Phys. 125 (2011) 795 [arXiv:1012.1079] [INSPIRE].
M. Shiraishi, D. Nitta, S. Yokoyama and K. Ichiki, Optimal limits on primordial magnetic fields from CMB temperature bispectrum of passive modes, JCAP 03 (2012) 041 [arXiv:1201.0376] [INSPIRE].
S. Choudhury, Inflamagnetogenesis redux: unzipping sub-planckian inflation via various cosmoparticle probes, Phys. Lett. B 735 (2014) 138 [arXiv:1403.0676] [INSPIRE].
A.J. Long, E. Sabancilar and T. Vachaspati, Leptogenesis and primordial magnetic fields, JCAP 02 (2014) 036 [arXiv:1309.2315] [INSPIRE].
M. Fukugita and T. Yanagida, Baryogenesis without grand unification, Phys. Lett. B 174 (1986) 45 [INSPIRE].
I. Agullo and J. Navarro-Salas, Conformal anomaly and primordial magnetic fields, arXiv:1309.3435 [INSPIRE].
V. Demozzi and C. Ringeval, Reheating constraints in inflationary magnetogenesis, JCAP 05 (2012) 009 [arXiv:1202.3022] [INSPIRE].
S. Choudhury and A. Mazumdar, Reconstructing inflationary potential from BICEP2 and running of tensor modes, arXiv:1403.5549 [INSPIRE].
S. Choudhury and A. Mazumdar, Sub-Planckian inflation & large tensor to scalar ratio with r≥0.1, arXiv:1404.3398[INSPIRE].
S. Choudhury and A. Mazumdar, An accurate bound on tensor-to-scalar ratio and the scale of inflation, Nucl. Phys. B 882 (2014) 386 [arXiv:1306.4496] [INSPIRE].
S. Choudhury, A. Mazumdar and S. Pal, Low & high scale MSSM inflation, gravitational waves and constraints from Planck, JCAP 07 (2013) 041 [arXiv:1305.6398] [INSPIRE].
S. Choudhury and A. Mazumdar, Primordial blackholes and gravitational waves for an inflection-point model of inflation, Phys. Lett. B 733 (2014) 270 [arXiv:1307.5119] [INSPIRE].
S. Choudhury and S. Pal, Fourth level MSSM inflation from new flat directions, JCAP 04 (2012) 018 [arXiv:1111.3441] [INSPIRE].
A. Mazumdar and J. Rocher, Particle physics models of inflation and curvaton scenarios, Phys. Rept. 497 (2011) 85 [arXiv:1001.0993] [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2013 results. XXII. Constraints on inflation, Astron. Astrophys. 571 (2014) A22 [arXiv:1303.5082] [INSPIRE].
G.R. Dvali, G. Gabadadze and M. Porrati, 4D gravity on a brane in 5D minkowski space, Phys. Lett. B 485 (2000) 208 [hep-th/0005016] [INSPIRE].
U. Maitra, B. Mukhopadhyaya and S. SenGupta, Reconciling small radion vacuum expectation values with massive gravitons in an Einstein-Gauss-Bonnet warped geometry scenario, arXiv:1307.3018 [INSPIRE].
S. Choudhury and S. SenGupta, Thermodynamics of charged Kalb ramond AdS black hole in presence of Gauss-Bonnet coupling, arXiv:1306.0492 [INSPIRE].
A. De Felice and S. Tsujikawa, f (R) theories, Living Rev. Rel. 13 (2010) 3 [arXiv:1002.4928] [INSPIRE].
T.P. Sotiriou and V. Faraoni, f (R) theories of gravity, Rev. Mod. Phys. 82 (2010) 451 [arXiv:0805.1726] [INSPIRE].
J. Martin and C. Ringeval, First CMB constraints on the inflationary reheating temperature, Phys. Rev. D 82 (2010) 023511 [arXiv:1004.5525] [INSPIRE].
J. Martin, C. Ringeval and V. Vennin, Encyclopædia inflationaris, Phys. Dark Univ. 5-6 (2014) 75 [arXiv:1303.3787] [INSPIRE].
J. Martin, C. Ringeval and V. Vennin, How well can future CMB missions constrain cosmic inflation?, JCAP 10 (2014) 038 [arXiv:1407.4034] [INSPIRE].
J. Martin, C. Ringeval, R. Trotta and V. Vennin, Compatibility of Planck and BICEP2 in the light of inflation, Phys. Rev. D 90 (2014) 063501 [arXiv:1405.7272] [INSPIRE].
J. Martin, C. Ringeval, R. Trotta and V. Vennin, The best inflationary models after Planck, JCAP 03 (2014) 039 [arXiv:1312.3529] [INSPIRE].
A. Linde, Inflationary cosmology after Planck 2013, arXiv:1402.0526 [INSPIRE].
D.H. Lyth and A. Riotto, Particle physics models of inflation and the cosmological density perturbation, Phys. Rept. 314 (1999) 1 [hep-ph/9807278] [INSPIRE].
D.H. Lyth, Particle physics models of inflation, Lect. Notes Phys. 738 (2008) 81 [hep-th/0702128] [INSPIRE].
S. Choudhury, Reconstructing inflationary paradigm within effective field theory framework, arXiv:1508.00269 [INSPIRE].
S. Choudhury and S. Banerjee, Hysteresis in the sky, arXiv:1506.02260 [INSPIRE].
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ArXiv ePrint: 1504.08206
Presently working as a Visiting (Post-Doctoral) fellow at DTP, TIFR, Mumbai, India; sayanphysicsisi@gmail.com (Sayantan Choudhury).
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Choudhury, S. Constraining brane inflationary magnetic field from cosmoparticle physics after Planck. J. High Energ. Phys. 2015, 95 (2015). https://doi.org/10.1007/JHEP10(2015)095
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DOI: https://doi.org/10.1007/JHEP10(2015)095