Cosmological and High Energy Physics implications from gravitational-wave background searches in LIGO-Virgo-KAGRA's O1-O4a runs

A.G Abac, I Abouelfettouh, F Acernese, K Ackley, C Adamcewicz, S Adhicary, D Adhikari, N Adhikari, R.X Adhikari, V.K Adkins, S Afroz, A Agapito, D Agarwal, M Agathos, N Aggarwal, S Aggarwal, O.D Aguiar, I.-L Ahrend, L Aiello, A Ain, P Ajith, T Akutsu, S Albanesi, W Ali, S Al-Kershi, C Alléné, A Allocca, S Al-Shammari, P.A Altin, S Alvarez-Lopez, W Amar, O Amarasinghe, A Amato, F Amicucci, C Amra, A Ananyeva, S.B Anderson, W.G Anderson, M Andia, M Ando, M Andres-Carcasona, T Andric, J Anglin, S Ansoldi, J.M Antelis, S Antier, M Aoumi, E.Z Appavuravther, S Appert, SK Apple, K Arai, A Araya, M.C Araya, M. Arca Sedda, J.S Areeda, N Aritomi, F Armato, S Armstrong, N Arnaud, M Arogeti, S.M. Aronson, G Ashton, Y Aso, L Asprea, M Assiduo, S. Assis de Souza Melo, S.M Aston, P Astone, F Attadio, F Aubin, K Aultoneal, G Avallone, E.A Avila, S Babak, C Badger, S Bae, S Bagnasco, L Baiotti, R Bajpai, T Baka, A.M Baker, K.A Baker, T Baker, G Baldi, N Baldicchi, M Ball, G Ballardin, S.W Ballmer, S Banagiri, B Banerjee, D. R. BANKAR, T.M Baptiste, P Baral, M Baratti, J.C Barayoga, B.C Barish, D Barker, N Barman, P Barneo, F Barone, B Barr, L Barsotti, M Barsuglia, D Barta, A.M Bartoletti, M.A Barton, I Bartos, A Basalaev, R Bassiri, A Basti, M Bawaj, P Baxi, J.C Bayley, A.C Baylor, P.A Baynard, M Bazzan, V.M Bedakihale, F Beirnaert, M Bejger, D Belardinelli, A.S Bell, D.S Bellie, L Bellizzi, W Benoit, I Bentara, J.D Bentley, M. Ben Yaala, S Bera, F Bergamin, B.K Berger, S Bernuzzi, M Beroiz, D Bersanetti, T Bertheas, A Bertolini, J Betzwieser, D Beveridge, G Bevilacqua, N Bevins, R Bhandare, R Bhatt, D Bhattacharjee, S Bhattacharyya, S Bhaumik, V Biancalana, A Bianchi, I.A Bilenko, G Billingsley, A Binetti, S Bini, C Binu, S Biot, O Birnholtz, S Biscoveanu, A Bisht, M Bitossi, M.-A Bizouard, S Blaber, J.K Blackburn, L.A Blagg, C.D Blair, D.G Blair, S Blasi, N Bode, N Boettner, G Boileau, M Boldrini, G.N Bolingbroke, A Bolliand, L.D Bonavena, R Bondarescu, F Bondu, E Bonilla, M.S Bonilla, A Bonino, R Bonnand, A Borchers, S Borhanian, V Boschi, S Bose, V Bossilkov, Y Bothra, A Boudon, L Bourg, T.D Boybeyi, M Boyle, A Bozzi, C Bradaschia, P.R Brady, A Branch, M Branchesi, I Braun, T Briant, A Brillet, M Brinkmann, P Brockill, E Brockmueller, AF Brooks, B.C Brown, D.D Brown, M.L Brozzetti, S Brunett, G Bruno, R Bruntz, J Bryant, Y Bu, F Bucci, J Buchanan, O Bulashenko, T Bulik, H.J Bulten, A Buonanno, K Burtnyk, R Buscicchio, D Buskulic, C Buy, R.L. 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Chiofalo, A Chiummo, C Chou, S Choudhary, N Christensen, S.S.Y Chua, G Ciani, P Ciecielag, M Cieslar, M Cifaldi, B Cirok, F Clara, J.A Clark, T.A Clarke, P Clearwater, S Clesse, F Cleva, E Coccia, E Codazzo, P.-F Cohadon, S Colace, E Colangeli, M Colleoni, C.G. Collette, J Collins, S Colloms, A Colombo, C.M. Compton, G Connolly, L Conti, T.R Corbitt, I Cordero-Carrion, S Corezzi, N.J Cornish, I Coronado, A Corsi, R Cottingham, M.W Coughlin, A Couineaux, P Couvares, D.M Coward, R Coyne, A Cozzumbo, J.D.E Creighton, T.D Creighton, P Cremonese, S Crook, R Crouch, J Csizmazia, J.R Cudell, T J Cullen, A Cumming, E Cuoco, M Cusinato, L.V da Conceição, T Dal Canton, S Dal Pra, G Dálya, B d'Angelo, S Danilishin, S d'Antonio, K Danzmann, K.E Darroch, L.P Dartez, R Das, A Dasgupta, V Dattilo, A Daumas, N Davari, I Dave, A Davenport, M Davier, T.F Davies, D. Allen Davis, L Davis, M.C Davis, P Davis, E.J Daw, M Dax, J de Bolle, M Deenadayalan, J Degallaix, M de Laurentis, F de Lillo, S Della Torre, W del Pozzo, A Demagny, F de Marco, G Demasi, F de Matteis, N Demos, T Dent, A Depasse, N Depergola, R de Pietri, R de Rosa, C de Rossi, M Desai, R Desalvo, A Desimone, R de Simone, A Dhani, R Diab, M.C Díaz, M Di Cesare, G Dideron, T Dietrich, L Di Fiore, C Di Fronzo, M Di Giovanni, T Di Girolamo, D Diksha, J Ding, S Di Pace, I Di Palma, D Di Piero, F Di Renzo, M Divyajyoti, A Dmitriev, J.P Docherty, Z Doctor, N Doerksen, E Dohmen, A Doke, A. Domiciano de Souza, L d'Onofrio, F Donovan, K.L Dooley, T Dooney, S Doravari, O Dorosh, W.J.D Doyle, M Drago, J.C Driggers, L Dunn, U Dupletsa, P.-A Duverne, D d'Urso, P. Dutta Roy, H Duval, S E Dwyer, C Eassa, M Ebersold, T Eckhardt, G Eddolls, A Effler, J Eichholz, H Einsle, M Eisenmann, M Emma, K Endo, R Enficiaud, L Errico, R Espinosa, M Esposito, R.C Essick, H Estellés, T Etzel, M Evans, T Evstafyeva, B.E Ewing, J.M Ezquiaga, F Fabrizi, V Fafone, S Fairhurst, A.M. Farah, B Farr, W.M. 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