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Zweizig, J. "Search for Gravitational-lensing Signatures in the Full Third Observing Run of the LIGO–Virgo Network". The Astrophysical Journal 970 (2). Country unknown/Code not available: the American Astronomical Society. https://doi.org/10.3847/1538-4357/ad3e83. https://par.nsf.gov/biblio/10533123.

@article{osti_10533123,
place = {Country unknown/Code not available}, title = {Search for Gravitational-lensing Signatures in the Full Third Observing Run of the LIGO–Virgo Network}, url = {https://par.nsf.gov/biblio/10533123}, DOI = {10.3847/1538-4357/ad3e83}, abstractNote = {Abstract Gravitational lensing by massive objects along the line of sight to the source causes distortions to gravitational wave (GW) signals; such distortions may reveal information about fundamental physics, cosmology, and astrophysics. In this work, we have extended the search for lensing signatures to all binary black hole events from the third observing run of the LIGO-Virgo network. We search for repeated signals from strong lensing by (1) performing targeted searches for subthreshold signals, (2) calculating the degree of overlap among the intrinsic parameters and sky location of pairs of signals, (3) comparing the similarities of the spectrograms among pairs of signals, and (4) performing dual-signal Bayesian analysis that takes into account selection effects and astrophysical knowledge. We also search for distortions to the gravitational waveform caused by (1) frequency-independent phase shifts in strongly lensed images, and (2) frequency-dependent modulation of the amplitude and phase due to point masses. None of these searches yields significant evidence for lensing. Finally, we use the nondetection of GW lensing to constrain the lensing rate based on the latest merger-rate estimates and the fraction of dark matter composed of compact objects.}, journal = {The Astrophysical Journal}, volume = {970}, number = {2}, publisher = {the American Astronomical Society}, author = {Abbott, R and Abe, H and Acernese, F and Ackley, K and Adhicary, S and Adhikari, N and Adhikari, R X and Adkins, V K and Adya, V B and Affeldt, C and Agarwal, D and Agathos, M and Aguiar, O D and Aiello, L and Ain, A and Ajith, P and Akutsu, T and Albanesi, S and Alfaidi, R A and Alléné, C and Allocca, A and Altin, P A and Amato, A and Anand, S and Ananyeva, A and Anderson, S B and Anderson, W G and Ando, M and Andrade, T and Andres, N and Andrés-Carcasona, M and Andrić, T and Ansoldi, S and Antelis, J M and Antier, S and Apostolatos, T and Appavuravther, E Z and Appert, S and Apple, S K and Arai, K and Araya, A and Araya, M C and Areeda, J S and Arène, M and Aritomi, N and Arnaud, N and Arogeti, M and Aronson, S M and Asada, H and Ashton, G and Aso, Y and Assiduo, M and Assis_de_Souza_Melo, S and Aston, S M and Astone, P and Aubin, F and AultONeal, K and Babak, S and Badaracco, F and Badger, C and Bae, S and Bae, Y and Bagnasco, S and Bai, Y and Baier, J G and Baird, J and Bajpai, R and Baka, T and Ball, M and Ballardin, G and Ballmer, S W and Baltus, G and Banagiri, S and Banerjee, B and Bankar, D and Barayoga, J C and Barish, B C and Barker, D and Barneo, P and Barone, F and Barr, B and Barsotti, L and Barsuglia, M and Barta, D and Bartlett, J and Barton, M A and Bartos, I and Basak, S and Bassiri, R and Basti, A and Bawaj, M and Bayley, J C and Bazzan, M and Bécsy, B and Bedakihale, V M and Beirnaert, F and Bejger, M and Belahcene, I and Bell, A S and Benedetto, V and Beniwal, D and Benoit, W and Bentley, J D and BenYaala, M and Bera, S and Berbel, M and Bergamin, F and Berger, B K and Bernuzzi, S and Beroiz, M and Berry, C_P L and Bersanetti, D and Bertolini, A and Betzwieser, J and Beveridge, D and Bhandare, R and Bhandari, A V and Bhardwaj, U and Bhatt, R and Bhattacharjee, D and Bhaumik, S and Bianchi, A and Bilenko, I A and Bilicki, M and Billingsley, G and Bini, S and Birnholtz, O and Biscans, S and Bischi, M and Biscoveanu, S and Bisht, A and Biswas, B and Bitossi, M and Bizouard, M-A and Blackburn, J K and Blair, C D and Blair, D G and Blair, R M and Bobba, F and Bode, N and Boër, M and Bogaert, G and Boldrini, M and Bolingbroke, G N and Bonavena, L D and Bondarescu, R and Bondu, F and Bonilla, E and Bonnand, R and Booker, P and Bork, R and Boschi, V and Bose, N and Bose, S and Bossilkov, V and Boudart, V and Bouffanais, Y and Bozzi, A and Bradaschia, C and Brady, P R and Bramley, A and Branch, A and Branchesi, M and Brau, J E and Breschi, M and Briant, T and Briggs, J H and Brillet, A and Brinkmann, M and Brockill, P and Brooks, A F and Brooks, J and Brown, D D and Brunett, S and Bruno, G and Bruntz, R and Bryant, J and Bucci, F and Buchanan, J and Bulik, T and Bulten, H J and Buonanno, A and Burtnyk, K and Buscicchio, R and Buskulic, D and Buy, C and Byer, R L and Cabourn_Davies, G S and Cabras, G and Cabrita, R and Cadonati, L and Cagnoli, G and Cahillane, C and Calderón_Bustillo, J and Callaghan, J D and Callister, T A and Calloni, E and Camp, J B and Canepa, M and Caneva, G and Cannavacciuolo, M and Cannon, K C and Cao, H and Cao, Z and Capistran, L A and Capocasa, E and Capote, E and Carapella, G and Carbognani, F and Carlassara, M and Carlin, J B and Carpinelli, M and Carrillo, G and Carter, J J and Carullo, G and Casanueva_Diaz, J and Casentini, C and Castaldi, G and Caudill, S and Cavaglià, M and Cavalier, F and Cavalieri, R and Cella, G and Cerdá-Durán, P and Cesarini, E and Chaibi, W and Chakalis, W and Chalathadka_Subrahmanya, S and Champion, E and Chan, C-H and Chan, C and Chan, C L and Chan, K and Chan, M and Chandra, K and Chang, I P and Chang, W and Chanial, P and Chao, S and Chapman-Bird, C and Charlton, P and Chassande-Mottin, E and Chatterjee, C and Chatterjee, Debarati and Chatterjee, Deep and Chaturvedi, M and Chaty, S and Chatziioannou, K and Chen, C and Chen, D and Chen, H Y and Chen, J and Chen, K and Chen, X and Chen, Y-B and Chen, Y-R and Chen, Y and Cheng, H and Chessa, P and Cheung, H Y and Chia, H Y and Chiadini, F and Chiang, C-Y and Chiarini, G and Chierici, R and Chincarini, A and Chiofalo, M L and Chiummo, A and Choudhary, R K and Choudhary, S and Christensen, N and Chu, Q and Chu, Y-K and Chua, S_S Y and Chung, K W and Ciani, G and Ciecielag, P and Cieślar, M and Cifaldi, M and Ciobanu, A A and Ciolfi, R and Clara, F and Clark, J A and Clarke, T A and Clearwater, P and Clesse, S and Cleva, F and Coccia, E and Codazzo, E and Cohadon, P-F and Cohen, D E and Colleoni, M and Collette, C G and Colombo, A and Colpi, M and Compton, C M and Conti, L and Cooper, S J and Corban, P and Corbitt, T R and Cordero-Carrión, I and Corezzi, S and Cornish, N J and Corsi, A and Cortese, S and Coschizza, A C and Cotesta, R and Cottingham, R and Coughlin, M W and Coulon, J-P and Countryman, S T and Cousins, B and Couvares, P and Coward, D M and Cowart, M J and Coyne, D C and Coyne, R and Craig, K and Creighton, J_D E and Creighton, T D and Criswell, A W and Croquette, M and Crowder, S G and Cudell, J R and Cullen, T J and Cumming, A and Cummings, R and Cuoco, E and Curyło, M and Dabadie, P and Dal_Canton, T and Dall’Osso, S and Dálya, G and Dana, A and D’Angelo, B and Danilishin, S and D’Antonio, S and Danzmann, K and Darsow-Fromm, C and Dasgupta, A and Datrier, L_E H and Datta, Sayak and Datta, Sayantani and Dattilo, V and Dave, I and Davier, M and Davis, D and Davis, M C and Daw, E J and Dax, M and DeBra, D and Deenadayalan, M and Degallaix, J and De_Laurentis, M and Deléglise, S and Del_Favero, V and De_Lillo, F and De_Lillo, N and Dell’Aquila, D and Del_Pozzo, W and De_Matteis, F and D’Emilio, V and Demos, N and Dent, T and Depasse, A and De_Pietri, R and De_Rosa, R and De_Rossi, C and DeSalvo, R and De_Simone, R and Dhurandhar, S and Diab, R and Díaz, M C and Didio, N A and Dietrich, T and Di_Fiore, L and Di_Fronzo, C and Di_Giorgio, C and Di_Giovanni, F and Di_Giovanni, M and Di_Girolamo, T and Diksha, D and Di_Lieto, A and Di_Michele, A and Di_Pace, S and Di_Palma, I and Di_Renzo, F and Divakarla, A K and Dmitriev, A and Doctor, Z and Doleva, P P and Donahue, L and D’Onofrio, L and Donovan, F and Dooley, K L and Dooney, T and Doravari, S and Dorosh, O and Drago, M and Driggers, J C and Drori, Y and Ducoin, J-G and Dunn, L and Dupletsa, U and Durante, O and D’Urso, D and Duverne, P-A and Dwyer, S E and Eassa, C and Easter, P J and Ebersold, M and Eckhardt, T and Eddolls, G and Edelman, B and Edo, T B and Edy, O and Effler, A and Eguchi, S and Eichholz, J and Eikenberry, S S and Eisenmann, M and Eisenstein, R A and Ejlli, A and Engelby, E and Enomoto, Y and Errico, L and Essick, R C and Estellés, H and Estevez, D and 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Montani, M and Moore, C J and Moragues, J and Moraru, D and Morawski, F and More, A and More, S and Moreno, C and Moreno, G and Mori, Y and Morisaki, S and Morisue, N and Moriwaki, Y and Mours, B and Mow-Lowry, C M and Mozzon, S and Muciaccia, F and Mukherjee, D and Mukherjee, Soma and Mukherjee, Subroto and Mukherjee, Suvodip and Mukund, N and Mullavey, A and Munch, J and Muñiz, E A and Murray, P G and Muusse, S and Nadji, S L and Nagano, K and Nagar, A and Nagar, T and Nakamura, K and Nakano, H and Nakano, M and Nakayama, Y and Napolano, V and Nardecchia, I and Narola, H and Naticchioni, L and Nayak, R K and Neil, B F and Neilson, J and Nelson, A and Nelson, T_J N and Nery, M and Neubauer, P and Neunzert, A and Ng, K Y and Ng, S_W S and Nguyen, C and Nguyen, P and Nguyen, T and Nguyen_Quynh, L and Ni, J and Ni, W-T and Nichols, S A and Nieradka, G and Nishimoto, T and Nishizawa, A and Nissanke, S and Nitoglia, E and Niu, W and Nocera, F and Norman, M and North, C and Notte, J and Novak, J and Nozaki, S and Nurbek, G and Nuttall, L K and Obayashi, Y and Oberling, J and O’Brien, B D and O’Dell, J and Oelker, E and Oertel, M and Ogaki, W and Oganesyan, G and Oh, J J and Oh, K and Oh, S H and O’Hanlon, T and Ohashi, M and Ohashi, T and Ohkawa, M and Ohme, F and Ohta, H and Okutani, Y and Oliveri, R and Olivetto, C and Oohara, K and Oram, R and O’Reilly, B and Ormiston, R G and Ormsby, N D and Orselli, M and O’Shaughnessy, R and O’Shea, E and Oshino, S and Ossokine, S and Osthelder, C and Otabe, S and Ottaway, D J and Overmier, H and Pace, A E and Pagano, G and Pagano, R and Pagliaroli, G and Pai, A and Pai, S A and Pal, S and Palamos, J R and Palashov, O and Palomba, C and Pan, K-C and Panda, P K and Pang, P_T H and Pannarale, F and Pant, B C and Panther, F H and Paoletti, F and Paoli, A and Paolone, A and Pappas, G and Parisi, A and Park, J and Parker, W and Pascucci, D and Pasqualetti, A and Passaquieti, R and Passuello, D and Patel, M and Patel, N R and Pathak, M and Patricelli, B and Patron, A S and Paul, S and Payne, E and Pedraza, M and Pedurand, R and Pegna, R and Pegoraro, M and Pele, A and Peña_Arellano, F E and Penano, S and Penn, S and Perego, A and Pereira, A and Pereira, T and Perez, C J and Périgois, C and Perkins, C C and Perreca, A and Perriès, S and Perry, J W and Pesios, D and Petermann, J and Pfeiffer, H P and Pham, H and Pham, K A and Phukon, K S and Phurailatpam, H and Piccinni, O J and Pichot, M and Piendibene, M and Piergiovanni, F and Pierini, L and Pierra, G and Pierro, V and Pillant, G and Pillas, M and Pilo, F and Pinard, L and Pineda-Bosque, C and Pinto, I M and Pinto, M and Piotrzkowski, B J and Piotrzkowski, K and Pirello, M and Pitkin, M D and Placidi, A and Placidi, E and Planas, M L and Plastino, W and Poggiani, R and Polini, E and Pong, D_Y T and Ponrathnam, S and Porter, E K and Posnansky, C and Poulton, R and Powell, J and Pracchia, M and Pradier, T and Prajapati, A K and Prasai, K and Prasanna, R and Pratten, G and Principe, M and Prodi, G A and Prokhorov, L and Prosposito, P and Prudenzi, L and Puecher, A and Punturo, M and Puosi, F and Puppo, P and Pürrer, M and Qi, H and Quartey, N and Quetschke, V and Quinonez, P J and Quitzow-James, R and Raab, F J and Raaijmakers, G and Radkins, H and Radulesco, N and Raffai, P and Rail, S X and Raja, S and Rajan, C and Ramirez, K E and Ramirez, T D and Ramos-Buades, A and Rana, D and Rana, J and Rangnekar, P R and Rapagnani, P and Ray, A and Raymond, V and Raza, N and Razzano, M and Read, J and Regimbau, T and Rei, L and Reid, S and Reid, S W and Reinhard, M and Reitze, D H and Relton, P and Renzini, A and Rettegno, P and Revenu, B and Reyes, J and Reza, A and Rezac, M and Rezaei, A S and Ricci, F and Richards, D and Richardson, J W and Richardson, L and Riles, K and Rinaldi, S and Robertson, C and Robertson, N A and Robie, R and Robinet, F and Rocchi, A and Rodriguez, S and Rolland, L and Rollins, J G and Romanelli, M and Romano, R and Romel, C L and Romero, A and Romero-Shaw, I M and Romie, J H and Ronchini, S and Roocke, T J and Rosa, L and Rose, C A and Rosińska, D and Ross, M P and Rossello, M and Rowan, S and Rowlinson, S J and Roy, Santosh and Roy, Soumen and Royzman, A and Rozza, D and Ruggi, P and Ruiz-Rocha, K and Ryan, K and Sachdev, S and Sadecki, T and Sadiq, J and Saffarieh, P and Saha, S and Saito, Y and Sakai, K and Sakellariadou, M and Sakon, S and Salces-Carcoba, F and Salconi, L and Saleem, M and Salemi, F and Sallé, M and Samajdar, A and Sanchez, E J and Sanchez, J H and Sanchez, L E and Sanchis-Gual, N and Sanders, J R and Sanuy, A and Saravanan, T R and Sarin, N and Sasli, A and Sassolas, B and Satari, H and Sathyaprakash, B S and Sauter, O and Savage, R L and Savant, V and Sawada, T and Sawant, H L and Sayah, S and Schaetzl, D and Scheel, M and Scheuer, J and Schiworski, M G and Schmidt, P and Schmidt, S and Schnabel, R and Schneewind, M and Schofield, R_M S and Schönbeck, A and Schulte, B W and Schutz, B F and Schwartz, E and Scott, J and Scott, S M and Seglar-Arroyo, M and Sekiguchi, Y and Sellers, D and Sengupta, A S and Sentenac, D and Seo, E G and Sequino, V and Sergeev, A and Servignat, G and Setyawati, Y and Shaffer, T and Shahriar, M S and Shaikh, M A and Shams, B and Shao, L and Sharma, A and Sharma, P and Shawhan, P and Shcheblanov, N S and Sheela, A and Sheridan, E and Shikano, Y and Shikauchi, M and Shimizu, H and Shimode, K and Shinkai, H and Shishido, T and Shoda, A and Shoemaker, D H and Shoemaker, D M and ShyamSundar, S and Sieniawska, M and Sigg, D and Silenzi, L and Singer, L P and Singh, D and Singh, M K and Singh, N and Singha, A and Sintes, A M and Sipala, V and Skliris, V and Slagmolen, B_J J and Slaven-Blair, T J and Smetana, J and Smith, J R and Smith, L and Smith, R_J E and Soldateschi, J and Somala, S N and Somiya, K and Song, I and Soni, K and Soni, S and Sordini, V and Sorrentino, F and Sorrentino, N and Soulard, R and Souradeep, T and Spagnuolo, V and Spencer, A P and Spera, M and Spinicelli, P and Srivastava, A K and Srivastava, V and Stachie, C and Stachurski, F and Steer, D A and Steinlechner, J and Steinlechner, S and Stergioulas, N and Stops, D J and Strain, K A and Strang, L C and Stratta, G and Strong, M D and Strunk, A and Sturani, R and Stuver, A L and Suchenek, M and Sudhagar, S and Sugimoto, R and Suh, H G and Sullivan, A G and Summerscales, T Z and Sun, L and Sunil, S and Sur, A and Suresh, J and Sutton, P J and Suzuki, Takamasa and Suzuki, Takanori and Suzuki, Toshikazu and Swinkels, B L and Syx, A and Szczepańczyk, M J and Szewczyk, P and Tacca, M and Tagoshi, H and Tait, S C and Takahashi, H and Takahashi, R and Takano, S and Takeda, H and Takeda, M and Talbot, C J and Talbot, C and Tamanini, N and Tanaka, K and Tanaka, Taiki and Tanaka, Takahiro and Tanasijczuk, A J and Tanioka, S and Tanner, D B and Tao, D and Tao, L and Tapia, R D and Tapia_San_Martín, E N and Taranto, C and Taruya, A and Tasson, J D and Tenorio, R and Terhune, J_E S and Terkowski, L and Themann, H and Thirugnanasambandam, M P and Thomas, M and Thomas, P and Thomas, S and Thompson, D and Thompson, E E and Thompson, J E and Thondapu, S R and Thorne, K A and Thrane, E and Tiwari, Shubhanshu and Tiwari, Srishti and Tiwari, V and Toivonen, A M and Tolley, A E and Tomaru, T and Tomura, T and Tonelli, M and Torres-Forné, A and Torrie, C I and Tosta_e_Melo, I and Tournefier, E and Töyrä, D and Trapananti, A and Travasso, F and Traylor, G and Trenado, J and Trevor, M and Tringali, M C and Tripathee, A and Troiano, L and Trovato, A and Trozzo, L and Trudeau, R J and Tsai, D and Tsang, K W and Tsang, T and Tsao, J-S and Tse, M and Tso, R and Tsuchida, S and Tsukada, L and Tsuna, D and Tsutsui, T and Turbang, K and Turconi, M and Turski, C and Tuyenbayev, D and Ubach, H and Ubhi, A S and Uchiyama, T and Udall, R P and Ueda, A and Uehara, T and Ueno, K and Ueshima, G and Unnikrishnan, C S and Urban, A L and Ushiba, T and Utina, A and Vahlbruch, H and Vaidya, N and Vajente, G and Vajpeyi, A and Valdes, G and Valentini, M and Vallero, S and Valsan, V and van_Bakel, N and van_Beuzekom, M and van_Dael, M and van_den_Brand, J_F J and Van_Den_Broeck, C and Vander-Hyde, D C and Van_de_Walle, A and van_Dongen, J and van_Haevermaet, H and van_Heijningen, J V and Vanosky, J and van_Putten, M_H_P M and van_Ranst, Z and van_Remortel, N and Vardaro, M and Vargas, A F and Varma, V and Vasúth, M and Vecchio, A and Vedovato, G and Veitch, J and Veitch, P J and Venneberg, J and Venugopalan, G and Verdier, P and Verkindt, D and Verma, P and Verma, Y and Vermeulen, S M and Veske, D and Vetrano, F and Viceré, A and Vidyant, S and Viets, A D and Vijaykumar, A and Villa-Ortega, V and Vinet, J-Y and Virtuoso, A and Vitale, S and Vocca, H and von_Reis, E_R G and von_Wrangel, J_S A and Vorvick, C and Vyatchanin, S P and Wade, L E and Wade, M and Wagner, K J and Walet, R C and Walker, M and Wallace, G S and Wallace, L and Wang, J and Wang, J Z and Wang, W H and Ward, R L and Warner, J and Was, M and Washimi, T and Washington, N Y and Watada, K and Watarai, D and Watchi, J and Wayt, K E and Weaver, B and Weaving, C R and Webster, S A and Weinert, M and Weinstein, A J and Weiss, R and Weller, C M and Weller, R A and Wellmann, F and Wen, L and Weßels, P and Wette, K and Whelan, J T and White, D D and Whiting, B F and Whittle, C and Wilk, O S and Wilken, D and Williams, C E and Williams, D and Williams, M J and Williamson, A R and Willis, J L and Willke, B and Wipf, C C and Woan, G and Woehler, J and Wofford, J K and Wojtowicz, I A and Wong, D and Wong, I_C F and Wright, M and Wu, C and Wu, D S and Wu, H and Wysocki, D M and Xiao, L and Yadav, N and Yamada, T and Yamamoto, H and Yamamoto, K and Yamamoto, T and Yamashita, K and Yamazaki, R and Yang, F W and Yang, K Z and Yang, L and Yang, Y-C and Yang, Y and Yang, Yang and Yap, M J and Yeeles, D W and Yeh, S-W and Yelikar, A B and Yokoyama, J and Yokozawa, T and Yoo, J and Yoshioka, T and Yu, Hang and Yu, Haocun and Yuzurihara, H and Zadrożny, A and Zanolin, M and Zeidler, S and Zelenova, T and Zendri, J-P and Zevin, M and Zhan, M and Zhang, H and Zhang, J and Zhang, L and Zhang, R and Zhang, T and Zhang, Y and Zhao, C and Zhao, G and Zhao, Y and Zhao, Yue and Zheng, Y and Zhou, R and Zhu, X J and Zhu, Z-H and Zimmerman, A B and Zucker, M E and Zweizig, J}, }