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Limits to gauge coupling in the dark sector set by the non-observation of instanton-induced decay of Super-Heavy Dark Matter in the Pierre Auger Observatory data

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arxiv 2203.08854 v3 pith:IAISS7A7 submitted 2022-03-16 astro-ph.HE astro-ph.COhep-ph

Limits to gauge coupling in the dark sector set by the non-observation of instanton-induced decay of Super-Heavy Dark Matter in the Pierre Auger Observatory data

The Pierre Auger Collaboration: P. Abreu , M. Aglietta , J.M. Albury , I. Allekotte , K. Almeida Cheminant , A. Almela , J. Alvarez-Mu\~niz , R. Alves Batista
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J. Ammerman Yebra G.A. Anastasi L. Anchordoqui B. Andrada S. Andringa C. Aramo P.R. Ara\'ujo Ferreira E. Arnone J. C. Arteaga Vel\'azquez H. Asorey P. Assis G. Avila E. Avocone A.M. Badescu A. Bakalova A. Balaceanu F. Barbato J.A. Bellido C. Berat M.E. Bertaina G. Bhatta P.L. Biermann V. Binet K. Bismark T. Bister J. Biteau J. Blazek C. Bleve J. Bl\"umer M. Boh\'a\v{c}ov\'a D. Boncioli C. Bonifazi L. Bonneau Arbeletche N. Borodai A.M. Botti J. Brack T. Bretz P.G. Brichetto Orchera F.L. Briechle P. Buchholz A. Bueno S. Buitink M. Buscemi M. B\"usken K.S. Caballero-Mora L. Caccianiga F. Canfora I. Caracas R. Caruso A. Castellina F. Catalani G. Cataldi L. Cazon M. Cerda J.A. Chinellato J. Chudoba L. Chytka R.W. Clay A.C. Cobos Cerutti R. Colalillo A. Coleman M.R. Coluccia R. Concei\c{c}\~ao A. Condorelli G. Consolati F. Contreras F. Convenga D. Correia dos Santos C.E. Covault S. Dasso K. Daumiller B.R. Dawson J.A. Day R.M. de Almeida J. de Jes\'us S.J. de Jong J.R.T. de Mello Neto I. De Mitri J. de Oliveira D. de Oliveira Franco F. de Palma V. de Souza E. De Vito A. Del Popolo M. del R\'io O. Deligny L. Deval A. di Matteo M. Dobre C. Dobrigkeit J.C. D'Olivo L.M. Domingues Mendes R.C. dos Anjos M.T. Dova J. Ebr R. Engel I. Epicoco M. Erdmann C.O. Escobar A. Etchegoyen H. Falcke J. Farmer G. Farrar A.C. Fauth N. Fazzini F. Feldbusch F. Fenu B. Fick J.M. Figueira A. Filip\v{c}i\v{c} T. Fitoussi T. Fodran T. Fujii A. Fuster C. Galea C. Galelli B. Garc\'ia A.L. Garcia Vegas H. Gemmeke F. Gesualdi A. Gherghel-Lascu P.L. Ghia U. Giaccari M. Giammarchi J. Glombitza F. Gobbi F. Gollan G. Golup M. G\'omez Berisso P.F. G\'omez Vitale J.P. Gongora J.M. Gonz\'alez N. Gonz\'alez I. Goos D. G\'ora A. Gorgi M. Gottowik T.D. Grubb F. Guarino G.P. Guedes E. Guido S. Hahn P. Hamal M.R. Hampel P. Hansen D. Harari V.M. Harvey A. Haungs T. Hebbeker D. Heck G.C. Hill C. Hojvat J.R. H\"orandel P. Horvath M. Hrabovsk\'y T. Huege A. Insolia P.G. Isar P. Janecek J.A. Johnsen J. Jurysek A. K\"a\"ap\"a K.H. Kampert B. Keilhauer A. Khakurdikar V.V. Kizakke Covilakam H.O. Klages M. Kleifges J. Kleinfeller F. Knapp N. Kunka B.L. Lago N. Langner M.A. Leigui de Oliveira V. Lenok A. Letessier-Selvon I. Lhenry-Yvon D. Lo Presti L. Lopes R. L\'opez L. Lu Q. Luce J.P. Lundquist A. Machado Payeras G. Mancarella D. Mandat B.C. Manning J. Manshanden P. Mantsch S. Marafico F.M. Mariani A.G. Mariazzi I.C. Mari\c{s} G. Marsella D. Martello S. Martinelli O. Mart\'inez Bravo M. Mastrodicasa H.J. Mathes J. Matthews G. Matthiae E. Mayotte S. Mayotte P.O. Mazur G. Medina-Tanco D. Melo A. Menshikov S. Michal M.I. Micheletti L. Miramonti S. Mollerach F. Montanet L. Morejon C. Morello M. Mostaf\'a A.L. M\"uller M.A. Muller K. Mulrey R. Mussa M. Muzio W.M. Namasaka A. Nasr-Esfahani L. Nellen G. Nicora M. Niculescu-Oglinzanu M. Niechciol D. Nitz I. Norwood D. Nosek V. Novotny L. No\v{z}ka A Nucita L.A. N\'u\~nez C. Oliveira M. Palatka J. Pallotta P. Papenbreer G. Parente A. Parra J. Pawlowsky M. Pech J. P\k{e}kala R. Pelayo J. Pe\~na-Rodriguez E.E. Pereira Martins J. Perez Armand C. P\'erez Bertolli L. Perrone S. Petrera C. Petrucci T. Pierog M. Pimenta V. Pirronello M. Platino B. Pont M. Pothast P. Privitera M. Prouza A. Puyleart S. Querchfeld J. Rautenberg D. Ravignani M. Reininghaus J. Ridky F. Riehn M. Risse V. Rizi W. Rodrigues de Carvalho J. Rodriguez Rojo M.J. Roncoroni S. Rossoni M. Roth E. Roulet A.C. Rovero P. Ruehl A. Saftoiu M. Saharan F. Salamida H. Salazar G. Salina J.D. Sanabria Gomez F. S\'anchez E.M. Santos E. Santos F. Sarazin R. Sarmento C. Sarmiento-Cano R. Sato P. Savina C.M. Sch\"afer V. Scherini H. Schieler M. Schimassek M. Schimp F. Schl\"uter D. Schmidt O. Scholten H. Schoorlemmer P. Schov\'anek F.G. Schr\"oder J. Schulte T. Schulz S.J. Sciutto M. Scornavacche A. Segreto S. Sehgal R.C. Shellard G. Sigl G. Silli O. Sima R. Smau R. \v{S}m\'ida P. Sommers J.F. Soriano R. Squartini M. Stadelmaier D. Stanca S. Stani\v{c} J. Stasielak P. Stassi A. Streich M. Su\'arez-Dur\'an T. Sudholz T. Suomij\"arvi A.D. Supanitsky Z. Szadkowski A. Tapia C. Taricco C. Timmermans O. Tkachenko P. Tobiska C.J. Todero Peixoto B. Tom\'e Z. Torr\`es A. Travaini P. Travnicek C. Trimarelli M. Tueros R. Ulrich M. Unger L. Vaclavek M. Vacula J.F. Vald\'es Galicia L. Valore E. Varela A. V\'asquez-Ram\'irez D. Veberi\v{c} C. Ventura I.D. Vergara Quispe V. Verzi J. Vicha J. Vink S. Vorobiov H. Wahlberg C. Watanabe A.A. Watson A. Weindl L. Wiencke H. Wilczy\'nski D. Wittkowski B. Wundheiler A. Yushkov O. Zapparrata E. Zas D. Zavrtanik M. Zavrtanik L. Zehrer R. Aloisio
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classification astro-ph.HE astro-ph.COhep-ph
keywords darkcouplingmatternon-observationparticlesalphaaugerconstant
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Instantons, which are non-perturbative solutions to Yang-Mills equations, provide a signal for the occurrence of quantum tunneling between distinct classes of vacua. They can give rise to decays of particles otherwise forbidden. Using data collected at the Pierre Auger Observatory, we search for signatures of such instanton-induced processes that would be suggestive of super-heavy particles decaying in the Galactic halo. These particles could have been produced during the post-inflationary epoch and match the relic abundance of dark matter inferred today. The non-observation of the signatures searched for allows us to derive a bound on the reduced coupling constant of gauge interactions in the dark sector: $\alpha_X \lesssim 0.09$, for $10^{9} \lesssim M_X/{\rm GeV} < 10^{19}$. Conversely, we obtain that, for instance, a reduced coupling constant $\alpha_X = 0.09$ excludes masses $M_X \gtrsim 3\times 10^{13}~$GeV. In the context of dark matter production from gravitational interactions alone, we illustrate how these bounds are complementary to those obtained on the Hubble rate at the end of inflation from the non-observation of tensor modes in the cosmological microwave background.

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