S Borowka1, N Greiner2, G Heinrich3, S P Jones3, M Kerner3, J Schlenk3, U Schubert3, T Zirke3. 1. Institute for Physics, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland and Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA. 2. Institute for Physics, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland. 3. Max Planck Institute for Physics, Föhringer Ring 6, 80805 München, Germany.
Abstract
We present the calculation of the cross section and invariant mass distribution for Higgs boson pair production in gluon fusion at next-to-leading order (NLO) in QCD. Top-quark masses are fully taken into account throughout the calculation. The virtual two-loop amplitude has been generated using an extension of the program GoSam supplemented with an interface to Reduze for the integral reduction. The occurring integrals have been calculated numerically using the program SecDec. Our results, including the full top-quark mass dependence for the first time, allow us to assess the validity of various approximations proposed in the literature, which we also recalculate. We find substantial deviations between the NLO result and the different approximations, which emphasizes the importance of including the full top-quark mass dependence at NLO.
We present the calculation of the cross section and invariant mass distribution for Higgs boson pair production in gluon fusion at next-to-leading order (NLO) in QCD. Top-quark masses are fully taken into account throughout the calculation. The virtual two-loop amplitude has been generated using an extension of the program GoSam supplemented with an interface to Reduze for the integral reduction. The occurring integrals have been calculated numerically using the program SecDec. Our results, including the full top-quark mass dependence for the first time, allow us to assess the validity of various approximations proposed in the literature, which we also recalculate. We find substantial deviations between the NLO result and the different approximations, which emphasizes the importance of including the full top-quark mass dependence at NLO.
Authors: M Aaboud; G Aad; B Abbott; O Abdinov; B Abeloos; D K Abhayasinghe; S H Abidi; O S AbouZeid; N L Abraham; H Abramowicz; H Abreu; Y Abulaiti; B S Acharya; S Adachi; L Adamczyk; J Adelman; M Adersberger; A Adiguzel; T Adye; A A Affolder; Y Afik; C Agheorghiesei; J A Aguilar-Saavedra; F Ahmadov; G Aielli; S Akatsuka; T P A Åkesson; E Akilli; A V Akimov; G L Alberghi; J Albert; P Albicocco; M J Alconada Verzini; S Alderweireldt; M Aleksa; I N Aleksandrov; C Alexa; G Alexander; T Alexopoulos; M Alhroob; B Ali; G Alimonti; J Alison; S P Alkire; C Allaire; B M M Allbrooke; B W Allen; P P Allport; A Aloisio; A Alonso; F Alonso; C Alpigiani; A A Alshehri; M I Alstaty; B Alvarez Gonzalez; D Álvarez Piqueras; M G Alviggi; B T Amadio; Y Amaral Coutinho; L Ambroz; C Amelung; D Amidei; S P Amor Dos Santos; S Amoroso; C S Amrouche; C Anastopoulos; L S Ancu; N Andari; T Andeen; C F Anders; J K Anders; K J Anderson; A Andreazza; V Andrei; C R Anelli; S Angelidakis; I Angelozzi; A Angerami; A V Anisenkov; A Annovi; C Antel; M T Anthony; M Antonelli; D J A Antrim; F Anulli; M Aoki; L Aperio Bella; G Arabidze; Y Arai; J P Araque; V Araujo Ferraz; R Araujo Pereira; A T H Arce; R E Ardell; F A Arduh; J-F Arguin; S Argyropoulos; A J Armbruster; L J Armitage; A Armstrong; O Arnaez; H Arnold; M Arratia; O Arslan; A Artamonov; G Artoni; S Artz; S Asai; N Asbah; A Ashkenazi; E M Asimakopoulou; L Asquith; K Assamagan; R Astalos; R J Atkin; M Atkinson; N B Atlay; K Augsten; G Avolio; R Avramidou; B Axen; M K Ayoub; G Azuelos; A E Baas; M J Baca; H Bachacou; K Bachas; M Backes; P Bagnaia; M Bahmani; H Bahrasemani; A J Bailey; J T Baines; M Bajic; C Bakalis; O K Baker; P J Bakker; D Bakshi Gupta; E M Baldin; P Balek; F Balli; W K Balunas; J Balz; E Banas; A Bandyopadhyay; S Banerjee; A A E Bannoura; L Barak; W M Barbe; E L Barberio; D Barberis; M Barbero; T Barillari; M-S Barisits; J Barkeloo; T Barklow; N Barlow; R Barnea; S L Barnes; B M Barnett; R M Barnett; Z Barnovska-Blenessy; A Baroncelli; G Barone; 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J Proudfoot; M Przybycien; A Puri; P Puzo; J Qian; Y Qin; A Quadt; M Queitsch-Maitland; A Qureshi; P Rados; F Ragusa; G Rahal; J A Raine; S Rajagopalan; A Ramirez Morales; T Rashid; S Raspopov; M G Ratti; D M Rauch; F Rauscher; S Rave; B Ravina; I Ravinovich; J H Rawling; M Raymond; A L Read; N P Readioff; M Reale; D M Rebuzzi; A Redelbach; G Redlinger; R Reece; R G Reed; K Reeves; L Rehnisch; J Reichert; A Reiss; C Rembser; H Ren; M Rescigno; S Resconi; E D Resseguie; S Rettie; E Reynolds; O L Rezanova; P Reznicek; R Richter; S Richter; E Richter-Was; O Ricken; M Ridel; P Rieck; C J Riegel; O Rifki; M Rijssenbeek; A Rimoldi; M Rimoldi; L Rinaldi; G Ripellino; B Ristić; E Ritsch; I Riu; J C Rivera Vergara; F Rizatdinova; E Rizvi; C Rizzi; R T Roberts; S H Robertson; A Robichaud-Veronneau; D Robinson; J E M Robinson; A Robson; E Rocco; C Roda; Y Rodina; S Rodriguez Bosca; A Rodriguez Perez; D Rodriguez Rodriguez; A M Rodríguez Vera; S Roe; C S Rogan; O Røhne; R Röhrig; C P A Roland; J Roloff; A Romaniouk; M Romano; N Rompotis; M Ronzani; L Roos; S Rosati; K Rosbach; P Rose; N-A Rosien; E Rossi; L P Rossi; L Rossini; J H N Rosten; R Rosten; M Rotaru; J Rothberg; D Rousseau; D Roy; A Rozanov; Y Rozen; X Ruan; F Rubbo; F Rühr; A Ruiz-Martinez; Z Rurikova; N A Rusakovich; H L Russell; J P Rutherfoord; N Ruthmann; E M Rüttinger; Y F Ryabov; M Rybar; G Rybkin; S Ryu; A Ryzhov; G F Rzehorz; P Sabatini; G Sabato; S Sacerdoti; H F-W Sadrozinski; R Sadykov; F Safai Tehrani; P Saha; M Sahinsoy; A Sahu; M Saimpert; M Saito; T Saito; H Sakamoto; A Sakharov; D Salamani; G Salamanna; J E Salazar Loyola; D Salek; P H Sales De Bruin; D Salihagic; A Salnikov; J Salt; D Salvatore; F Salvatore; A Salvucci; A Salzburger; D Sammel; D Sampsonidis; D Sampsonidou; J Sánchez; A Sanchez Pineda; H Sandaker; C O Sander; M Sandhoff; C Sandoval; D P C Sankey; M Sannino; Y Sano; A Sansoni; C Santoni; H Santos; I Santoyo Castillo; A Sapronov; J G Saraiva; O Sasaki; K Sato; E Sauvan; P Savard; N Savic; R Sawada; C Sawyer; L Sawyer; C Sbarra; A Sbrizzi; T Scanlon; J Schaarschmidt; P Schacht; B M Schachtner; D Schaefer; L Schaefer; J Schaeffer; S Schaepe; U Schäfer; A C Schaffer; D Schaile; R D Schamberger; N Scharmberg; V A Schegelsky; D Scheirich; F Schenck; M Schernau; C Schiavi; S Schier; L K Schildgen; Z M Schillaci; E J Schioppa; M Schioppa; K E Schleicher; S Schlenker; K R Schmidt-Sommerfeld; K Schmieden; C Schmitt; S Schmitt; S Schmitz; U Schnoor; L Schoeffel; A Schoening; E Schopf; M Schott; J F P Schouwenberg; J Schovancova; S Schramm; A Schulte; H-C Schultz-Coulon; M Schumacher; B A Schumm; Ph Schune; A Schwartzman; T A Schwarz; H Schweiger; Ph Schwemling; R Schwienhorst; A Sciandra; G Sciolla; M Scornajenghi; F Scuri; F Scutti; L M Scyboz; J Searcy; C D Sebastiani; P Seema; S C Seidel; A Seiden; T Seiss; J M Seixas; G Sekhniaidze; K Sekhon; S J Sekula; N Semprini-Cesari; S Sen; S Senkin; C Serfon; L Serin; L Serkin; M Sessa; H Severini; F Sforza; A Sfyrla; E Shabalina; J D Shahinian; N W Shaikh; L Y Shan; R Shang; J T Shank; M Shapiro; A S Sharma; A Sharma; P B Shatalov; K Shaw; S M Shaw; A Shcherbakova; Y Shen; N Sherafati; A D Sherman; P Sherwood; L Shi; S Shimizu; C O Shimmin; M Shimojima; I P J Shipsey; S Shirabe; M Shiyakova; J Shlomi; A Shmeleva; D Shoaleh Saadi; M J Shochet; S Shojaii; D R Shope; S Shrestha; E Shulga; P Sicho; A M Sickles; P E Sidebo; E Sideras Haddad; O Sidiropoulou; A Sidoti; F Siegert; Dj Sijacki; J Silva; M Silva; M V Silva Oliveira; S B Silverstein; L Simic; S Simion; E Simioni; M Simon; P Sinervo; N B Sinev; M Sioli; G Siragusa; I Siral; S Yu Sivoklokov; J Sjölin; M B Skinner; P Skubic; M Slater; T Slavicek; M Slawinska; K Sliwa; R Slovak; V Smakhtin; B H Smart; J Smiesko; N Smirnov; S Yu Smirnov; Y Smirnov; L N Smirnova; O Smirnova; J W Smith; M N K Smith; R W Smith; M Smizanska; K Smolek; A A Snesarev; I M Snyder; S Snyder; R Sobie; A M Soffa; A Soffer; A Søgaard; D A Soh; G Sokhrannyi; C A Solans Sanchez; M Solar; E Yu Soldatov; U Soldevila; A A Solodkov; A Soloshenko; O V Solovyanov; V Solovyev; P Sommer; H Son; W Song; A Sopczak; F Sopkova; D Sosa; C L Sotiropoulou; S Sottocornola; R Soualah; A M Soukharev; D South; B C Sowden; S Spagnolo; M Spalla; M Spangenberg; F Spanò; D Sperlich; F Spettel; T M Spieker; R Spighi; G Spigo; L A Spiller; D P Spiteri; M Spousta; A Stabile; R Stamen; S Stamm; E Stanecka; R W Stanek; C Stanescu; B Stanislaus; M M Stanitzki; B Stapf; S Stapnes; E A Starchenko; G H Stark; J Stark; S H Stark; P Staroba; P Starovoitov; S Stärz; R Staszewski; M Stegler; P Steinberg; B Stelzer; H J Stelzer; O Stelzer-Chilton; H Stenzel; T J Stevenson; G A Stewart; M C Stockton; G Stoicea; P Stolte; S Stonjek; A Straessner; J Strandberg; S Strandberg; M Strauss; P Strizenec; R Ströhmer; D M Strom; R Stroynowski; A Strubig; S A Stucci; B Stugu; J Stupak; N A Styles; D Su; J Su; S Suchek; Y Sugaya; M Suk; V V Sulin; D M S Sultan; S Sultansoy; T Sumida; S Sun; X Sun; K Suruliz; C J E Suster; M R Sutton; S Suzuki; M Svatos; M Swiatlowski; S P Swift; A Sydorenko; I Sykora; T Sykora; D Ta; K Tackmann; J Taenzer; A Taffard; R Tafirout; E Tahirovic; N Taiblum; H Takai; R Takashima; E H Takasugi; K Takeda; T Takeshita; Y Takubo; M Talby; A A Talyshev; J Tanaka; M Tanaka; R Tanaka; R Tanioka; B B Tannenwald; S Tapia Araya; S Tapprogge; A Tarek Abouelfadl Mohamed; S Tarem; G Tarna; G F Tartarelli; P Tas; M Tasevsky; T Tashiro; E Tassi; A Tavares Delgado; Y Tayalati; A C Taylor; A J Taylor; G N Taylor; P T E Taylor; W Taylor; A S Tee; P Teixeira-Dias; D Temple; H Ten Kate; P K Teng; J J Teoh; F Tepel; S Terada; K Terashi; J Terron; S Terzo; M Testa; R J Teuscher; S J Thais; T Theveneaux-Pelzer; F Thiele; J P Thomas; A S Thompson; P D Thompson; L A Thomsen; E Thomson; Y Tian; R E Ticse Torres; V O Tikhomirov; Yu A Tikhonov; S Timoshenko; P Tipton; S Tisserant; K Todome; S Todorova-Nova; S Todt; J Tojo; S Tokár; K Tokushuku; E Tolley; K G Tomiwa; M Tomoto; L Tompkins; K Toms; B Tong; P Tornambe; E Torrence; H Torres; E Torró Pastor; C Tosciri; J Toth; F Touchard; D R Tovey; C J Treado; T Trefzger; F Tresoldi; A Tricoli; I M Trigger; S Trincaz-Duvoid; M F Tripiana; W Trischuk; B Trocmé; A Trofymov; C Troncon; M Trovatelli; F Trovato; L Truong; M Trzebinski; A Trzupek; F Tsai; J C-L Tseng; P V Tsiareshka; N Tsirintanis; V Tsiskaridze; E G Tskhadadze; I I Tsukerman; V Tsulaia; S Tsuno; D Tsybychev; Y Tu; A Tudorache; V Tudorache; T T Tulbure; A N Tuna; S Turchikhin; D Turgeman; I Turk Cakir; R Turra; P M Tuts; E Tzovara; G Ucchielli; I Ueda; M Ughetto; F Ukegawa; G Unal; A Undrus; G Unel; F C Ungaro; Y Unno; K Uno; J Urban; P Urquijo; P Urrejola; G Usai; J Usui; L Vacavant; V Vacek; B Vachon; K O H Vadla; A Vaidya; C Valderanis; E Valdes Santurio; M Valente; S Valentinetti; A Valero; L Valéry; R A Vallance; A Vallier; J A Valls Ferrer; T R Van Daalen; W Van Den Wollenberg; H Van der Graaf; P Van Gemmeren; J Van Nieuwkoop; I Van Vulpen; M C van Woerden; M Vanadia; W Vandelli; A Vaniachine; P Vankov; R Vari; E W Varnes; C Varni; T Varol; D Varouchas; A Vartapetian; K E Varvell; G A Vasquez; J G Vasquez; F Vazeille; D Vazquez Furelos; T Vazquez Schroeder; J Veatch; V Vecchio; L M Veloce; F Veloso; S Veneziano; A Ventura; M Venturi; N Venturi; V Vercesi; M Verducci; C M Vergel Infante; W Verkerke; A T Vermeulen; J C Vermeulen; M C Vetterli; N Viaux Maira; O Viazlo; I Vichou; T Vickey; O E Vickey Boeriu; G H A Viehhauser; S Viel; L Vigani; M Villa; M Villaplana Perez; E Vilucchi; M G Vincter; V B Vinogradov; A Vishwakarma; C Vittori; I Vivarelli; S Vlachos; M Vogel; P Vokac; G Volpi; S E von Buddenbrock; E Von Toerne; V Vorobel; K Vorobev; M Vos; J H Vossebeld; N Vranjes; M Vranjes Milosavljevic; V Vrba; M Vreeswijk; T Šfiligoj; R Vuillermet; I Vukotic; T Ženiš; L Živković; P Wagner; W Wagner; J Wagner-Kuhr; H Wahlberg; S Wahrmund; K Wakamiya; V M Walbrecht; J Walder; R Walker; W Walkowiak; V Wallangen; A M Wang; C Wang; F Wang; H Wang; H Wang; J Wang; J Wang; P Wang; Q Wang; R-J Wang; R Wang; R Wang; S M Wang; W T Wang; W Wang; W X Wang; Y Wang; Z Wang; C Wanotayaroj; A Warburton; C P Ward; D R Wardrope; A Washbrook; P M Watkins; A T Watson; M F Watson; G Watts; S Watts; B M Waugh; A F Webb; S Webb; C Weber; M S Weber; S A Weber; S M Weber; J S Webster; A R Weidberg; B Weinert; J Weingarten; M Weirich; C Weiser; P S Wells; T Wenaus; T Wengler; S Wenig; N Wermes; M D Werner; P Werner; M Wessels; T D Weston; K Whalen; N L Whallon; A M Wharton; A S White; A White; M J White; R White; D Whiteson; B W Whitmore; F J Wickens; W Wiedenmann; M Wielers; C Wiglesworth; L A M Wiik-Fuchs; A Wildauer; F Wilk; H G Wilkens; L J Wilkins; H H Williams; S Williams; C Willis; S Willocq; J A Wilson; I Wingerter-Seez; E Winkels; F Winklmeier; O J Winston; B T Winter; M Wittgen; M Wobisch; A Wolf; T M H Wolf; R Wolff; M W Wolter; H Wolters; V W S Wong; N L Woods; S D Worm; B K Wosiek; K W Woźniak; K Wraight; M Wu; S L Wu; X Wu; Y Wu; T R Wyatt; B M Wynne; S Xella; Z Xi; L Xia; D Xu; H Xu; L Xu; T Xu; W Xu; B Yabsley; S Yacoob; K Yajima; D P Yallup; D Yamaguchi; Y Yamaguchi; A Yamamoto; T Yamanaka; F Yamane; M Yamatani; T Yamazaki; Y Yamazaki; Z Yan; H J Yang; H T Yang; S Yang; Y Yang; Z Yang; W-M Yao; Y C Yap; Y Yasu; E Yatsenko; J Ye; S Ye; I Yeletskikh; E Yigitbasi; E Yildirim; K Yorita; K Yoshihara; C J S Young; C Young; J Yu; J Yu; X Yue; S P Y Yuen; I Yusuff; B Zabinski; G Zacharis; E Zaffaroni; R Zaidan; A M Zaitsev; N Zakharchuk; J Zalieckas; S Zambito; D Zanzi; D R Zaripovas; S V Zeißner; C Zeitnitz; G Zemaityte; J C Zeng; Q Zeng; O Zenin; D Zerwas; M Zgubič; D F Zhang; D Zhang; F Zhang; G Zhang; H Zhang; J Zhang; L Zhang; L Zhang; M Zhang; P Zhang; R Zhang; R Zhang; X Zhang; Y Zhang; Z Zhang; P Zhao; X Zhao; Y Zhao; Z Zhao; A Zhemchugov; B Zhou; C Zhou; L Zhou; M S Zhou; M Zhou; N Zhou; Y Zhou; C G Zhu; H L Zhu; H Zhu; J Zhu; Y Zhu; X Zhuang; K Zhukov; V Zhulanov; A Zibell; D Zieminska; N I Zimine; S Zimmermann; Z Zinonos; M Zinser; M Ziolkowski; G Zobernig; A Zoccoli; K Zoch; T G Zorbas; R Zou; M Zur Nedden; L Zwalinski Journal: Eur Phys J C Part Fields Date: 2018-12-11 Impact factor: 4.590