{"id":"https://openalex.org/W7214089472","doi":"https://doi.org/10.15496/publikation-124834","title":"Analytic Methods for Perturbative Quantum Chromodynamics","display_name":"Analytic Methods for Perturbative Quantum Chromodynamics","publication_year":2026,"publication_date":"2026-09-21","ids":{"openalex":"https://openalex.org/W7214089472","doi":"https://doi.org/10.15496/publikation-124834"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.28019","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28019","pdf_url":"https://arxiv.org/pdf/2609.28019","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.28019","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014769404","display_name":"Fabian Wunder","orcid":"https://orcid.org/0009-0007-4136-7844","observed_orcids":["https://orcid.org/0009-0007-4136-7844"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wunder, Fabian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5014769404"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.5009999871253967,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.5009999871253967,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.49410000443458557,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10527","display_name":"High-Energy Particle Collisions Research","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/perturbative-qcd","display_name":"perturbative QCD","score":0.9490000009536743},{"id":"https://openalex.org/keywords/angular-integrals","display_name":"angular integrals","score":0.9449999928474426},{"id":"https://openalex.org/keywords/phase-space-integrals","display_name":"phase-space integrals","score":0.9179999828338623},{"id":"https://openalex.org/keywords/integration-by-parts-identities","display_name":"integration-by-parts identities","score":0.7609999775886536},{"id":"https://openalex.org/keywords/differential-equations","display_name":"differential equations","score":0.800000011920929},{"id":"https://openalex.org/keywords/dimensional-shift","display_name":"dimensional shift","score":0.7979999780654907},{"id":"https://openalex.org/keywords/one-loop-integrals","display_name":"one-loop integrals","score":0.9010000228881836},{"id":"https://openalex.org/keywords/branch-cuts","display_name":"branch cuts","score":0.7570000290870667},{"id":"https://openalex.org/keywords/semi-inclusive-deep-inelastic-scattering","display_name":"semi-inclusive deep inelastic scattering","score":0.9490000009536743},{"id":"https://openalex.org/keywords/coefficient-functions","display_name":"coefficient functions","score":0.7549999952316284},{"id":"https://openalex.org/keywords/drell-yan-process","display_name":"Drell-Yan process","score":0.9860000014305115},{"id":"https://openalex.org/keywords/factorization","display_name":"factorization","score":0.9190000295639038},{"id":"https://openalex.org/keywords/parton-distribution-functions","display_name":"parton distribution functions","score":0.9010000228881836},{"id":"https://openalex.org/keywords/electron-ion-collider","display_name":"Electron-Ion Collider","score":0.8999999761581421},{"id":"https://openalex.org/keywords/radiative-corrections","display_name":"radiative corrections","score":0.5899999737739563},{"id":"https://openalex.org/keywords/proton-structure","display_name":"proton structure","score":0.46799999475479126}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8151000142097473},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.3993000090122223},{"id":"https://openalex.org/C117137515","wikidata":"https://www.wikidata.org/wiki/Q238170","display_name":"Quantum chromodynamics","level":2,"score":0.2971999943256378},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.2865000069141388},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.25760000944137573},{"id":"https://openalex.org/C103684282","wikidata":"https://www.wikidata.org/wiki/Q17128025","display_name":"Scattering cross-section","level":3,"score":0.23409999907016754},{"id":"https://openalex.org/C7602139","wikidata":"https://www.wikidata.org/wiki/Q6718","display_name":"Quark","level":2,"score":0.19020000100135803},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.18170000612735748},{"id":"https://openalex.org/C3566410","wikidata":"https://www.wikidata.org/wiki/Q795131","display_name":"B meson","level":3,"score":0.16820000112056732},{"id":"https://openalex.org/C207206121","wikidata":"https://www.wikidata.org/wiki/Q6778","display_name":"Top quark","level":3,"score":0.16439999639987946}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2609.28019","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28019","pdf_url":"https://arxiv.org/pdf/2609.28019","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.28019","doi":"https://doi.org/10.48550/arxiv.2609.28019","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.28019","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.15496/publikation-124834","doi":"https://doi.org/10.15496/publikation-124834","is_oa":true,"landing_page_url":"https://doi.org/10.15496/publikation-124834","pdf_url":null,"source":{"id":"https://openalex.org/S7407053000","display_name":"Universit\u00e4tsbibliothek T\u00fcbingen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Other"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.28019","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28019","pdf_url":"https://arxiv.org/pdf/2609.28019","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2213922774","display_name":"SIN INFORMACION","funder_award_id":"AFB180002","funder_id":"https://openalex.org/F4320331146","funder_display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo"},{"id":"https://openalex.org/G2943635","display_name":"Verbundprojekt 05P2018 (ErUM-FSP T01) - Ausbau von ALICE am LHC: Jets und partonische Struktur von Kernen","funder_award_id":"05P18VTCA1","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"},{"id":"https://openalex.org/G5171173513","display_name":"MODERN DETECTORS AND EXPERIMENTS FOR HIGH ENERGY PHYSICS","funder_award_id":"1191103","funder_id":"https://openalex.org/F4320331146","funder_display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo"},{"id":"https://openalex.org/G5950119477","display_name":null,"funder_award_id":"05P2018","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"},{"id":"https://openalex.org/G6084215942","display_name":null,"funder_award_id":"FOR 2926","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6923634074","display_name":null,"funder_award_id":"1191103","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"},{"id":"https://openalex.org/G8129919933","display_name":null,"funder_award_id":"AFB180002","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"}],"funders":[{"id":"https://openalex.org/F4320319388","display_name":"Moscow Center of Fundamental and Applied Mathematics","ror":"https://ror.org/000xg7d10"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320321912","display_name":"Ministry of Education and Science of the Russian Federation","ror":"https://ror.org/00ghqgy32"},{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"},{"id":"https://openalex.org/F4320329591","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69"},{"id":"https://openalex.org/F4320331146","display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo","ror":"https://ror.org/05btm5233"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214089472.pdf","grobid_xml":"https://content.openalex.org/works/W7214089472.grobid-xml"},"referenced_works_count":293,"referenced_works":["https://openalex.org/W24482946","https://openalex.org/W67071099","https://openalex.org/W325084174","https://openalex.org/W640850769","https://openalex.org/W1508842132","https://openalex.org/W1513188914","https://openalex.org/W1523783866","https://openalex.org/W1564891552","https://openalex.org/W1584798087","https://openalex.org/W1586671506","https://openalex.org/W1645400441","https://openalex.org/W1731531764","https://openalex.org/W1804295295","https://openalex.org/W1827962746","https://openalex.org/W1839833051","https://openalex.org/W1950779002","https://openalex.org/W1952146318","https://openalex.org/W1964550261","https://openalex.org/W1967702810","https://openalex.org/W1970332194","https://openalex.org/W1972344499","https://openalex.org/W1972797053","https://openalex.org/W1972870463","https://openalex.org/W1973835645","https://openalex.org/W1978256560","https://openalex.org/W1984478853","https://openalex.org/W1985969910","https://openalex.org/W1988899888","https://openalex.org/W1991266583","https://openalex.org/W1995581930","https://openalex.org/W1997232571","https://openalex.org/W1997777083","https://openalex.org/W1998312037","https://openalex.org/W2000962559","https://openalex.org/W2002189274","https://openalex.org/W2004213130","https://openalex.org/W2004444211","https://openalex.org/W2007144518","https://openalex.org/W2015530957","https://openalex.org/W2016192256","https://openalex.org/W2018698723","https://openalex.org/W2021404114","https://openalex.org/W2023109803","https://openalex.org/W2026729036","https://openalex.org/W2028015417","https://openalex.org/W2030099059","https://openalex.org/W2032556563","https://openalex.org/W2033484030","https://openalex.org/W2036375103","https://openalex.org/W2036779765","https://openalex.org/W2036783007","https://openalex.org/W2037461575","https://openalex.org/W2037590401","https://openalex.org/W2038199579","https://openalex.org/W2039302425","https://openalex.org/W2042519632","https://openalex.org/W2044921930","https://openalex.org/W2045835733","https://openalex.org/W2045978911","https://openalex.org/W2047474162","https://openalex.org/W2048865628","https://openalex.org/W2050139523","https://openalex.org/W2050324782","https://openalex.org/W2052248696","https://openalex.org/W2059271119","https://openalex.org/W2060729151","https://openalex.org/W2062762681","https://openalex.org/W2063700283","https://openalex.org/W2064997516","https://openalex.org/W2065147566","https://openalex.org/W2065937626","https://openalex.org/W2066642274","https://openalex.org/W2067228829","https://openalex.org/W2070720233","https://openalex.org/W2070792816","https://openalex.org/W2071686396","https://openalex.org/W2076039335","https://openalex.org/W2076065338","https://openalex.org/W2076930776","https://openalex.org/W2076994556","https://openalex.org/W2077487436","https://openalex.org/W2079564342","https://openalex.org/W2080385215","https://openalex.org/W2081195777","https://openalex.org/W2085111332","https://openalex.org/W2085311483","https://openalex.org/W2086763826","https://openalex.org/W2087157461","https://openalex.org/W2087174146","https://openalex.org/W2090021052","https://openalex.org/W2090064086","https://openalex.org/W2090521335","https://openalex.org/W2092447667","https://openalex.org/W2095415709","https://openalex.org/W2103675719","https://openalex.org/W2105794475","https://openalex.org/W2110972369","https://openalex.org/W2112299944","https://openalex.org/W2112908403","https://openalex.org/W2113303710","https://openalex.org/W2113915410","https://openalex.org/W2114740461","https://openalex.org/W2115487809","https://openalex.org/W2116604774","https://openalex.org/W2120484828","https://openalex.org/W2120782651","https://openalex.org/W2120790412","https://openalex.org/W2121780971","https://openalex.org/W2122094278","https://openalex.org/W2122204454","https://openalex.org/W2123590136","https://openalex.org/W2123749971","https://openalex.org/W2126749697","https://openalex.org/W2129015339","https://openalex.org/W2129590258","https://openalex.org/W2131654852","https://openalex.org/W2133006861","https://openalex.org/W2135734579","https://openalex.org/W2137277469","https://openalex.org/W2138895846","https://openalex.org/W2140092737","https://openalex.org/W2144545506","https://openalex.org/W2144624554","https://openalex.org/W2146518156","https://openalex.org/W2147670113","https://openalex.org/W2148189392","https://openalex.org/W2150445676","https://openalex.org/W2151497957","https://openalex.org/W2155391419","https://openalex.org/W2155637048","https://openalex.org/W2155707367","https://openalex.org/W2156787192","https://openalex.org/W2164982709","https://openalex.org/W2165309552","https://openalex.org/W2165831703","https://openalex.org/W2171588180","https://openalex.org/W2184431170","https://openalex.org/W2224110963","https://openalex.org/W2226527286","https://openalex.org/W2235230322","https://openalex.org/W2237593616","https://openalex.org/W2253565350","https://openalex.org/W2260347208","https://openalex.org/W2262604762","https://openalex.org/W2282035372","https://openalex.org/W2291572117","https://openalex.org/W2298622869","https://openalex.org/W2344597999","https://openalex.org/W2380431525","https://openalex.org/W2392431077","https://openalex.org/W2463594993","https://openalex.org/W2470563689","https://openalex.org/W2502301309","https://openalex.org/W2560511342","https://openalex.org/W2572659746","https://openalex.org/W2614392743","https://openalex.org/W2621084749","https://openalex.org/W2754896790","https://openalex.org/W2759104162","https://openalex.org/W2769059300","https://openalex.org/W2769260314","https://openalex.org/W2812484701","https://openalex.org/W2890212387","https://openalex.org/W2892769389","https://openalex.org/W2895851370","https://openalex.org/W2902832656","https://openalex.org/W2906148799","https://openalex.org/W2914404797","https://openalex.org/W2918596613","https://openalex.org/W2921558084","https://openalex.org/W2937696856","https://openalex.org/W2947737964","https://openalex.org/W2949611069","https://openalex.org/W2950372650","https://openalex.org/W2952050556","https://openalex.org/W2952158814","https://openalex.org/W2952400991","https://openalex.org/W2970982648","https://openalex.org/W2978550814","https://openalex.org/W2983858521","https://openalex.org/W2995198858","https://openalex.org/W2996124648","https://openalex.org/W2998644123","https://openalex.org/W3006322619","https://openalex.org/W3009807238","https://openalex.org/W3014764189","https://openalex.org/W3015618816","https://openalex.org/W3034265548","https://openalex.org/W3037555746","https://openalex.org/W3040569168","https://openalex.org/W3044896340","https://openalex.org/W3049116843","https://openalex.org/W3082314439","https://openalex.org/W3085810691","https://openalex.org/W3092389409","https://openalex.org/W3093893895","https://openalex.org/W3099129254","https://openalex.org/W3102548607","https://openalex.org/W3106198423","https://openalex.org/W3108708421","https://openalex.org/W3110092809","https://openalex.org/W3117051331","https://openalex.org/W3124848421","https://openalex.org/W3131149843","https://openalex.org/W3159407573","https://openalex.org/W3163554222","https://openalex.org/W3180252296","https://openalex.org/W3195707020","https://openalex.org/W3197284369","https://openalex.org/W3210085668","https://openalex.org/W3212222973","https://openalex.org/W3215093532","https://openalex.org/W3216101428","https://openalex.org/W4205219195","https://openalex.org/W4210467593","https://openalex.org/W4220856674","https://openalex.org/W4221149577","https://openalex.org/W4221158547","https://openalex.org/W4226062692","https://openalex.org/W4226253732","https://openalex.org/W4231853527","https://openalex.org/W4236688128","https://openalex.org/W4237136723","https://openalex.org/W4255105601","https://openalex.org/W4281633828","https://openalex.org/W4283835708","https://openalex.org/W4286218976","https://openalex.org/W4288037503","https://openalex.org/W4292104010","https://openalex.org/W4292998192","https://openalex.org/W4293150342","https://openalex.org/W4300644552","https://openalex.org/W4300979513","https://openalex.org/W4307886759","https://openalex.org/W4309957498","https://openalex.org/W4312707391","https://openalex.org/W4313333238","https://openalex.org/W4317401474","https://openalex.org/W4321499598","https://openalex.org/W4361199565","https://openalex.org/W4363671583","https://openalex.org/W4366281497","https://openalex.org/W4376171169","https://openalex.org/W4382139187","https://openalex.org/W4383171009","https://openalex.org/W4384025404","https://openalex.org/W4385266773","https://openalex.org/W4386150412","https://openalex.org/W4390462122","https://openalex.org/W4391376989","https://openalex.org/W4391465737","https://openalex.org/W4391569617","https://openalex.org/W4391841997","https://openalex.org/W4392934687","https://openalex.org/W4393300584","https://openalex.org/W4395659137","https://openalex.org/W4396620711","https://openalex.org/W4399431128","https://openalex.org/W4399571104","https://openalex.org/W4399766466","https://openalex.org/W4399991969","https://openalex.org/W4400268311","https://openalex.org/W4400514633","https://openalex.org/W4400904543","https://openalex.org/W4401049018","https://openalex.org/W4401078319","https://openalex.org/W4401262862","https://openalex.org/W4401729921","https://openalex.org/W4401989366","https://openalex.org/W4403004846","https://openalex.org/W4403246910","https://openalex.org/W4403995342","https://openalex.org/W4404307469","https://openalex.org/W4404587368","https://openalex.org/W4404588387","https://openalex.org/W4408462530","https://openalex.org/W4408592494","https://openalex.org/W4409405381","https://openalex.org/W4409769237","https://openalex.org/W4409798658","https://openalex.org/W4410120863","https://openalex.org/W4410392485","https://openalex.org/W4410642759","https://openalex.org/W4410975987","https://openalex.org/W4412477149","https://openalex.org/W4414929344","https://openalex.org/W4415288637","https://openalex.org/W4417267639","https://openalex.org/W4417267722","https://openalex.org/W4417268048","https://openalex.org/W6891324400","https://openalex.org/W6966444084","https://openalex.org/W6966646696"],"related_works":["https://openalex.org/W1561810115","https://openalex.org/W6927445618","https://openalex.org/W4214655871","https://openalex.org/W2296051081","https://openalex.org/W2288382247","https://openalex.org/W3175899423","https://openalex.org/W1530699259","https://openalex.org/W1994642845","https://openalex.org/W7037227847","https://openalex.org/W3102062745"],"abstract_inverted_index":{"Nature,":[0],"at":[1],"the":[2,12,22,25,48,186,190,202,227],"shortest":[3],"distances":[4],"accessible":[5,65],"to":[6,37,96,107,135,161,185,226],"contemporary":[7],"colliders,":[8],"is":[9,105,149,181,207],"described":[10],"by":[11,66,126],"Standard":[13],"Model":[14],"of":[15,24,40,50,113,146,165,178,192,204],"particle":[16],"physics":[17],"with":[18,94,152],"remarkable":[19],"precision.":[20],"Since":[21],"discovery":[23],"Higgs":[26],"boson":[27],"in":[28,75,83,175,223],"2012,":[29],"progress":[30],"has":[31],"shifted":[32],"from":[33,78],"finding":[34],"new":[35,141,198],"resonances":[36],"precision":[38],"studies":[39],"established":[41],"theory.":[42,85],"Here,":[43],"quantum":[44],"chromodynamics":[45],"(QCD),":[46],"describing":[47],"interactions":[49],"quarks":[51],"and":[52,99,130,138,183,220,230],"gluons,":[53],"plays":[54],"a":[55,162,197],"central":[56],"role.":[57],"Collider":[58,229],"observables":[59],"involving":[60],"hadrons":[61],"are":[62,133],"made":[63],"theoretically":[64],"factorization,":[67],"which":[68],"separates":[69],"universal":[70],"long-distance":[71],"hadron":[72],"dynamics":[73],"encoded":[74],"parton":[76,205],"distributions":[77,206],"process-specific":[79],"short-distance":[80],"coefficients":[81],"calculable":[82],"perturbation":[84],"This":[86],"thesis":[87],"develops":[88],"analytic":[89,144,213],"methods":[90,211],"for":[91,119,168,201],"perturbative":[92],"QCD":[93],"applications":[95],"collider":[97,232],"phenomenology":[98],"proton":[100],"structure.":[101,195],"A":[102,172],"major":[103],"part":[104],"devoted":[106],"angular":[108,136],"integrals,":[109,121],"key":[110],"building":[111],"blocks":[112],"phase-space":[114],"integrals.":[115],"Methods":[116],"originally":[117],"developed":[118,182],"Feynman":[120],"including":[122],"integration-by-parts":[123],"identities,":[124],"expansion":[125,174],"regions,":[127],"differential":[128],"equations,":[129],"dimensional":[131],"shifts,":[132],"adapted":[134],"integrals":[137,148],"yield":[139],"several":[140],"results.":[142],"The":[143],"structure":[145],"one-loop":[147],"also":[150],"studied,":[151],"spurious":[153],"branch":[154],"cuts":[155],"removed":[156],"using":[157],"single-valued":[158],"polylogarithms,":[159],"leading":[160],"compact":[163],"representation":[164],"coefficient":[166],"functions":[167],"semi-inclusive":[169],"deep-inelastic":[170],"scattering.":[171],"systematic":[173],"higher":[176],"powers":[177],"transverse":[179],"momentum":[180],"applied":[184],"Drell-Yan":[187],"process,":[188],"refining":[189],"understanding":[191],"its":[193],"factorization":[194],"Finally,":[196],"semi-analytical":[199],"ansatz":[200],"evolution":[203,222],"explored.":[208],"Together,":[209],"these":[210],"improve":[212],"control":[214],"over":[215],"radiative":[216],"corrections,":[217],"kinematic":[218],"dependence,":[219],"scale":[221],"processes":[224],"relevant":[225],"Electron-Ion":[228],"other":[231],"experiments.":[233]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-24T00:00:00"}
