Graded transcendental functions: an application to four-point amplitudes with one off-shell leg

Journal of High Energy Physics 2024:12 (2025)

Authors:

T Gehrmann, J Henn, P Jakubčík, J Lim, CC Mella, N Syrrakos, L Tancredi, WJ Torres Bobadilla

Abstract:

Several recent works have demonstrated the powerful algebraic simplifications that can be achieved for scattering amplitudes through a systematic grading of transcendental quantities. We develop these concepts to construct a minimal basis of functions tailored to a scattering amplitude in a general way. Starting with formal solutions for all master integral topologies, we organise the appearing functions by properties such as their symbol alphabet or letter adjacency. We rotate the basis such that functions with spurious features appear in the least possible number of basis elements. Since their coefficients must vanish for physical quantities, this approach avoids complex cancellations. As a first application, we evaluate all integral topologies relevant to the three-loop Hggg and Hgqq¯ amplitudes in the leading-colour approximation and heavy-top limit. We describe the derivation of canonical differential equation systems and present a method for fixing boundary conditions without the need for a full functional representation. Using multiple numerical reductions, we test the maximal transcendentality conjecture for Hggg and identify a new letter which appears in functions of weight 4 and 5. In addition, we provide the first direct analytic computation of a three-point form factor of the operator Tr(ϕ2) in planar N = 4 sYM and find agreement with numerical and bootstrapped results.

Search for dark matter from the center of the Earth with ten years of IceCube data

ArXiv 2412.12972 (2024)

Observation of Cosmic-Ray Anisotropy in the Southern Hemisphere with Twelve Years of Data Collected by the IceCube Neutrino Observatory

ArXiv 2412.05046 (2024)

Authors:

R Abbasi, M Ackermann, J Adams, SK Agarwalla, T Aguado, JA Aguilar, M Ahlers, JM Alameddine, NM Amin, K Andeen, C Argüelles, Y Ashida, S Athanasiadou, SN Axani, R Babu, X Bai, A Balagopal V, M Baricevic, SW Barwick, S Bash, V Basu, R Bay, JJ Beatty, J Becker Tjus, J Beise, C Bellenghi, S BenZvi, D Berley, E Bernardini, DZ Besson, E Blaufuss, L Bloom, S Blot, F Bontempo, JY Book Motzkin, C Boscolo Meneguolo, S Böser, O Botner, J Böttcher, J Braun, B Brinson, Z Brisson-Tsavoussis, J Brostean-Kaiser, L Brusa, RT Burley, D Butterfield, MA Campana, I Caracas, K Carloni, J Carpio, S Chattopadhyay, N Chau, Z Chen, D Chirkin, S Choi, BA Clark, C Cochling, A Coleman, P Coleman, GH Collin, A Connolly, JM Conrad, R Corley, DF Cowen, C De Clercq, JJ DeLaunay, D Delgado, S Deng, A Desai, P Desiati, KD de Vries, G de Wasseige, T DeYoung, A Diaz, JC Díaz-Vélez, P Dierichs, M Dittmer, A Domi, L Draper, H Dujmovic, D Durnford, K Dutta, MA DuVernois, T Ehrhardt, L Eidenschink, A Eimer, P Eller, E Ellinger, S El Mentawi, D Elsässer, R Engel, H Erpenbeck, W Esmail, J Evans, PA Evenson, KL Fan, K Fang, K Farrag, AR Fazely, A Fedynitch, N Feigl, S Fiedlschuster, C Finley, L Fischer, D Fox, A Franckowiak, S Fukami, P Fürst, J Gallagher, E Ganster, A Garcia, M Garcia, G Garg, E Genton, L Gerhardt, A Ghadimi, C Girard-Carillo, C Glaser, T Glüsenkamp, JG Gonzalez, S Goswami, A Granados, D Grant, SJ Gray, S Griffin, S Griswold, KM Groth, D Guevel, C Günther, P Gutjahr, K Gruchot, C Ha, C Haack, A Hallgren, L Halve, F Halzen, L Hamacher, H Hamdaoui, M Ha Minh, M Handt, K Hanson, J Hardin, AA Harnisch, P Hatch, A Haungs, J Häußler, A Hardy, W Hayes, K Helbing, J Hellrung, J Hermannsgabner, L Heuermann, N Heyer, S Hickford, A Hidvegi, C Hill, GC Hill, R Hmaid, KD Hoffman, S Hori, K Hoshina, M Hostert, W Hou, T Huber, K Hultqvist, M Hünnefeld, R Hussain, K Hymon, A Ishihara, W Iwakiri, M Jacquart, S Jain, O Janik, M Jansson, M Jeong, M Jin, BJP Jones, N Kamp, D Kang, W Kang, X Kang, A Kappes, D Kappesser, L Kardum, T Karg, M Karl, A Karle, A Katil, U Katz, M Kauer, JL Kelley, M Khanal, A Khatee Zathul, A Kheirandish, J Kiryluk, SR Klein, Y Kobayashi, A Kochocki, R Koirala, H Kolanoski, T Kontrimas, L Köpke, C Kopper, DJ Koskinen, P Koundal, M Kowalski, T Kozynets, N Krieger, J Krishnamoorthi, K Kruiswijk, E Krupczak, A Kumar, E Kun, N Kurahashi, N Lad, C Lagunas Gualda, M Lamoureux, MJ Larson, F Lauber, JP Lazar, JW Lee, K Leonard DeHolton, A Leszczyńska, J Liao, M Lincetto, YT Liu, M Liubarska, C Love, L Lu, F Lucarelli, W Luszczak, Y Lyu, J Madsen, E Magnus, KBM Mahn, Y Makino, E Manao, S Mancina, A Mand, W Marie Sainte, IC Mariş, S Marka, Z Marka, M Marsee, I Martinez-Soler, R Maruyama, F Mayhew, F McNally, JV Mead, K Meagher, S Mechbal, A Medina, M Meier, Y Merckx, L Merten, J Mitchell, T Montaruli, RW Moore, Y Morii, R Morse, M Moulai, A Moy, T Mukherjee, R Naab, M Nakos, U Naumann, J Necker, A Negi, L Neste, M Neumann, H Niederhausen, MU Nisa, K Noda, A Noell, A Novikov, A Obertacke Pollmann, V O'Dell, A Olivas, R Orsoe, J Osborn, E O'Sullivan, V Palusova, H Pandya, N Park, GK Parker, V Parrish, EN Paudel, L Paul, C Pérez de los Heros, T Pernice, J Peterson, A Pizzuto, M Plum, A Pontén, Y Popovych, M Prado Rodriguez, B Pries, R Procter-Murphy, GT Przybylski, L Pyras, C Raab, J Rack-Helleis, N Rad, M Ravn, K Rawlins, Z Rechav, A Rehman, E Resconi, S Reusch, W Rhode, B Riedel, A Rifaie, EJ Roberts, S Robertson, S Rodan, G Roellinghoff, M Rongen, A Rosted, C Rott, T Ruhe, L Ruohan, D Ryckbosch, I Safa, J Saffer, D Salazar-Gallegos, P Sampathkumar, A Sandrock, M Santander, S Sarkar, S Sarkar, J Savelberg, P Savina, P Schaile, M Schaufel, H Schieler, S Schindler, L Schlickmann, B Schlüter, F Schlüter, N Schmeisser, E Schmidt, T Schmidt, J Schneider, FG Schröder, L Schumacher, S Schwirn, S Sclafani, D Seckel, L Seen, M Seikh, M Seo, S Seunarine, P Sevle Myhr, R Shah, S Shefali, N Shimizu, M Silva, A Simmons, B Skrzypek, B Smithers, R Snihur, J Soedingrekso, A Søgaard, D Soldin, P Soldin, G Sommani, C Spannfellner, GM Spiczak, C Spiering, J Stachurska, M Stamatikos, T Stanev, T Stezelberger, T Stürwald, T Stuttard, GW Sullivan, I Taboada, S Ter-Antonyan, A Terliuk, M Thiesmeyer, WG Thompson, A Thorpe, J Thwaites, S Tilav, K Tollefson, C Tönnis, S Toscano, D Tosi, A Trettin, R Turcotte, MA Unland Elorrieta, AK Upadhyay, K Upshaw, A Vaidyanathan, N Valtonen-Mattila, J Vandenbroucke, N van Eijndhoven, D Vannerom, J van Santen, J Vara, F Varsi, J Veitch-Michaelis, M Venugopal, M Vereecken, S Vergara Carrasco, S Verpoest, D Veske, A Vijai, C Walck, A Wang, C Weaver, P Weigel, A Weindl, J Weldert, AY Wen, C Wendt, J Werthebach, M Weyrauch, N Whitehorn, CH Wiebusch, DR Williams, L Witthaus, M Wolf, H Woodward, G Wrede, XW Xu, JP Yanez, E Yildizci, S Yoshida, R Young, S Yu, T Yuan, A Zegarelli, S Zhang, Z Zhang, P Zhelnin, P Zilberman, M Zimmerman

Finite Feynman integrals

Physical Review D American Physical Society (APS) 110:11 (2024) 116026

Authors:

Giulio Gambuti, David A Kosower, Pavel P Novichkov, Lorenzo Tancredi

Anisotropy in Pantheon+ supernovae

ArXiv 2411.10838 (2024)

Authors:

Animesh Sah, Mohamed Rameez, Subir Sarkar, Christos Tsagas